Suppose a rectangular garden has a length of 3c + 15 feet and a width of 4c feet. write an expression for the area of the garden in square feet.

Answers

Answer 1

A = L * W

A = 4c(3c + 15)
A = 12c^2 + 60c <==

Answer 2

The area of the rectangle is given by the equation A = 12c² + 60c

What is the Area of a Rectangle?

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the area of the rectangle be represented as A

Now , the equation will be

Let the length of the rectangle L = ( 3c + 15 ) feet

Let the width of the rectangle W = 4c feet

Now , the area of the rectangle A = length of the rectangle L x width of the rectangle W

Substituting the values in the equation , we get

Area of Rectangle A = ( 3c + 15 ) ( 4c )

On simplifying the equation , we get

Area of Rectangle A = ( 3c ) ( 4c ) + 15 ( 4c )

Area of Rectangle A = 12c² + 60c

Therefore , the value of A is 12c² + 60c

Hence , the area of the rectangle is A = 12c² + 60c

To learn more about area of rectangle click :

https://brainly.com/question/15225905

#SPJ5

Related Questions

Given the following triangle side lengths, identify the triangle as acute, right or obtuse. Show your work.
a. 3in, 4in, 5 in

b. 5in, 6in, 7in

c. 8in, 9in, 12in

Answers

Let "a", "b" and "с" be sides of the triangle ("с" is the longest side).
The triangle will be:

right if a² + b² = c²
аcute if    a² + b² > c²
obtuse if   a² + b² < c²

a.
a=3, b=4 and c=5

a² + b² = 3² + 4² = 9 + 16 = 25 and c² = 5² = 25

25 = 25 ⇒ right triangle.

b.
a=5, b=6 and c=7

a² + b² = 5² + 6² = 25 + 36 = 61   and c² = 7² = 49

61 > 49 ⇒ аcute triangle.

c.
a=8, b=9 and c=12

a² + b² = 8² + 9² = 64 + 81 = 145   and c² = 12² = 144

145 > 144 ⇒ аcute triangle.

From the information, A is a right angle, B is an acute triangle and C is an acute angle.

How to solve the triangle

It will be a right triangle if a² + b² = c². It will be аcute if a² + b² > c² and it'll be obtuse if a² + b² < c².

For the first one,

a² + b² = 3² + 4² = 9 + 16 = 25 and c² = 5² = 25

25 = 25

This is a right triangle.

For the second one,

a² + b² = 5² + 6²

= 25 + 36 = 61

c² = 7² = 49

61 > 49 = аcute triangle.

For the third one,

a² + b² = 8² + 9²

= 64 + 81 = 145

c² = 12² = 144

145 > 144 = аcute triangle.

Learn more about triangles on:

https://brainly.com/question/4521351

Jean has 5 different colors of markers: red, blue, green, orange, and purple. Two colors are used to make a sign. How many different combinations are possible? List them.

Answers

We need to find the number of possible combinations of r objects from a set of n objects.
Jean has 5 different colors which means that n=5 and 2 colors are used to make a sign, which means r=2.
The number of combinations can be calculated with the formula:
C=n!/((n-r)!r!)
C=5!/(5-2)!*2!
C=5*4*3!/3!*2*1
C=20/2=10
The possible combinations are:
1.red blue
2.red green
3.red orange
4.red purple
5. blue green
6. blue orange
7. blue purple
8. green orange
9. green purple
10. orange purple

Determine whether the sequence is arithmetic or geometric. Sequence 1: –10, 20, – 40, 80, ... Sequence 2: 15, – 5, – 25, – 45, ... Which of the following statements are true regarding Sequence 1 and Sequence 2.

Answers

Sequence one is geometric since you are multiplying each number by a certain value (-2). Sequaence 2 is arithmetic since you are ADDING each number by -20

Answer:

Sequence 1 is arithmetic and Sequence 2 is geometric.

Are rational numbers always, sometimes or never natural numbers?

Answers

Rational numbers are sometimes natural numbers. For example, the number 1 is both a rational and natural number. Remember that natural numbers are 1, 2, 3, 4.. etc. Rational numbers are any number that can be expressed as a ratio of 2 integers. 1/1 is rational.

Most rational numbers, however, are not natural. For example, 3/4, 89/88, and so on.

Answer:

SOMETIMES

Step-by-step explanation:

A line passes through (2, –1) and (8, 4).Write an equation for the line in point-slope form.
Rewrite the equation in standard form using integers.

Answers

Hello : let A(2,-1) B(8,4)
the slope is : (YB - YA)/(XB -XA)
(4+1)/(8-2) = 5/6

an equation for the line in point-slope form is : y-(-1) =( 5/6)(x-2)
y+1 = (5/6)x -5/3
6y+6 = 5x -10
the equation in standard form is : 5x-6y = 16

Answer: Equation of line in point slope form,

[tex]y + 1 = 5 ( x - 2 )[/tex]

And, Equation of line in standard form,

[tex]5 x - 6 y = 16[/tex]

Step-by-step explanation:

Since, If a line passes through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] ,

Then the equation of line,

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]

Here [tex]x_1 = 2[/tex], [tex]y_1=-1[/tex], [tex]x_2=8[/tex] and [tex]y_2=4[/tex]

Thus, the equation of the given line,

[tex]y-(-1)=\frac{4-(-1)}{8-2} (x-2)[/tex]

⇒ [tex]y+1=\frac{4+1}{8-2} (x-2)[/tex]

⇒ [tex]y+1=\frac{5}{6} (x-2)[/tex] -----(1)

⇒ [tex]6(y+1)= 5(x-2)[/tex]

⇒ 6 y + 6 = 5 x - 10

⇒ 6 = 5x - 6y - 10 ( By subtracting by on both sides )

⇒ 6 + 10 = 5x - 6y ( By adding 10 on both sides )

⇒ 16 = 5x - 6y

⇒ 5 x - 6 y = 16 ------(2)

Since, in slope for of a line is, [tex]y-y_1= m (x-x_1)[/tex]

Thus, equation (1) shows the in slope form of the line.

And, standard form of the line is ax + by = c where a, b and c are the integers.

Thus, equation (2) shows the standard form of the given line.

you borrow $90 from your grandmother. you pay back $15 each week.
a. write an equation in standard for that represents the amount owed y after x weeks.
b. find the y intercept of the graph. what does this represent?
c. find the x intercept of the graph. what does this represent?

Answers

a. y = 90 - 15x
b. y = 90, The money you owe her initially, or after 0 weeks.
c. x = 6, The number of weeks until you pay her back all $90.

Answer: a) y = 90-15x

b) y = 90

c) x = 6

Step-by-step explanation:

Since we have given that

Amount borrowed from his grandmother = $90

Amount he pay back each week = $15

Let the number of weeks be 'x'.

Let total amount owed be 'y'.

So, it becomes

[tex]y=90-15x[/tex]

a) write an equation in standard for that represents the amount owed y after x weeks.

Our equation is [tex]y=90-15x[/tex]

b. find the y intercept of the graph. what does this represent?

For this , we put x = 0.

[tex]y=90-15(0)\\\\y=90[/tex]

So, the y-intercept of the graph is 90.

It represents that the graph intersect y-axis at (0,90)

c. find the x intercept of the graph. what does this represent?

For this, we put y = 0.

[tex]0=90-15x\\\\90=15x\\\\x=\dfrac{90}{15}\\\\x=6[/tex]

So, the x intercept of the graph is 6.

It represents that the graph intersect the x-axis at (6,0)

Can you square both sides of an inequality

Answers

Technically you can, if both sides of the inequality have no negative integers.

Squaring both sides of an inequality can be valid if you know both sides are non-negative, but it can introduce extraneous solutions. Therefore, it's important to check any solutions against the original inequality to ensure their validity, especially in cases involving negative numbers or functions with restricted domains.

When you're working with inequalities, you have to be careful when performing operations like squaring both sides. Unlike equalities, where multiplication or division by the same number on both sides does not change equality, with inequalities, the effect can be more complex due to the direction of the inequality sign and the possibility of dealing with negative numbers.

For instance, squaring both sides of an inequality is not always a valid operation because if one or both sides of the inequality are negative, squaring could lead to incorrect results. When you square a negative number, it becomes positive, which could potentially reverse the inequality's direction. However, if you know that both sides of the inequality are non-negative, then squaring both sides is permissible. This concept is similar to solving quadratic constraints without introducing square roots, using identities like |(1 + ix)²|² = ([1 + ix|²)².

To avoid introducing solutions that were not there originally (extraneous solutions), it is important to check the solutions obtained after squaring against the original inequality. An example where squaring both sides might be questioned is when solving trigonometric inequalities, where a common mistake is to square both sides without considering the domain of the original function.

system of equations with different slopes and different y-intercepts have one solution.

A. Always
B. Sometimes
C. Never
I think it is A but I am not sure and it is impossible for system of equations with different slopes and different y-intercepts to be parallel or infinite.

Answers

The answer is :
A. Always

Also
If two equations have different slopes but equivalent y-intercepts, they will have one solution and that will be the point where the y-intercept is. If two equations have different slopes and different y-intercepts, then there will be one solution where those two lines meet. If two equations have the same slope but different y-intercepts, the lines will be parallel, and there is no possible intersection point. And if two equations have equal slopes and equal y-intercepts, these lines will have an infinite amount of solutions, because if the equations are one the same line, every single point on that line is a solution to the system.

Always. The only time you have 0 solutions is when you have two parallel lines, meaning same slope. The only time you have more than 1 is when you have the SAME line, because every point is a answer. Therefore, when you have two completely different lines, then they MUST only have 1 solution always.

If this helped please rate, thank, and give brailnliets!

What is the algebraic expression for "the difference between seven times a number and three times that number"?

7 - 3x
7x - 3
7x - 3x

Answers

"seven times a number" =7x

"difference"= -

"three times a number" = 3x so

7x-3x

Answer:

(C)7x-3x

Step-by-step explanation:

The given algebraic expression is:

"The difference between seven times a number and three times that number"

Let the number be equal to =x, then according to the statement, we have

seven times a number=7x and three times that number=3x

The difference between seven times a number and three times that number=7x-3x

which is the required algebraic expression.

Hence, option C is correct.

What is the factorization of the polynomial below?

x²+12x+27

A. (x+3)(x+9)
B. (x+9)(2x+9)
C. (12x+1)(x+2)
D. (3x+3)(x+9)

Answers

The answer is A.

(x + 3)(x + 9) = x^2 + 3x + 9x + 27, which simplifies to x^2 + 12x + 27

A giraffe can run 40 meters per second what is its speed in miles per hour

Answers

bearing in mind that, there are

60 seconds in 1 minute,
60 minutes in 1 hr,
1000 meters in 1 km,
and 1.609 km in 1 mile

[tex]\bf \cfrac{40\underline{m}}{\underline{s}}\cdot \cfrac{60\underline{s}}{\underline{min}}\cdot \cfrac{60\underline{min}}{hr}\cdot \cfrac{\underline{km}}{1000\underline{m}}\cdot \cfrac{mi}{1.609\underline{km}}\implies \cfrac{40\cdot 60\cdot 60\cdot mi}{hr\cdot 1000\cdot 1.609} \\\\\\ \cfrac{144000mi}{1609hr}\approx 89.496581\frac{mi}{hr}[/tex]

The sum of two rational numbers will always be

Answers

that would always be rational

The lifetimes of lightbulbs of a particular type are normally distributed with a mean of 392 hours and a standard deviation of 9 hours. find the first quartile, q1.

Answers

The 1st quartile q1 is also called the 25th percentile (the bottom 25% of a data set). In this case, if we choose 100 light bulbs, then the 1st quartile will be the 25 bulbs with shortest useful life.

To solve this problem, we would have to use the z statistic. Using the standard distribution tables for z, we locate for the value of z at P = 0.25:

z = - 0.674

Then to calculate for the 1st quartile, we use the formula:

Q1 = x + z * s

where x is the mean, and s is the standard deviation, therefore:

Q1 = 392 + (- 0.674) (9)

Q1 = 385.934

Final answer:

To find the first quartile of a normal distribution, use the z-score corresponding to an area of 25%. For these lightbulbs with a mean of 392 hours and standard deviation of 9 hours, the first quartile is approximately 386 hours.

Explanation:

In statistics, the quartiles of a dataset divide the data into four equal parts. The first quartile, Q1, is the value below which 25% of the data fall. To determine Q1 for the lifetime of a certain type of lightbulb, we use the properties of the normal distribution.

First, realize that 25% of data falls below Q1, and hence using the z-table, we find that z=-0.675 corresponds to an area of 0.25. We then use the formula for a z-score in a normal distribution, z = (X - μ)/σ. Solving for X we find X = z*σ + μ.

Plugging in the known values we get Q1 = -0.675*9 + 392 = 386.025 hours. So, for these lightbulbs, 25% will have failed by around 386 hours.

Learn more about First Quartile here:

https://brainly.com/question/24329548

#SPJ11

85 is 20% of what number? Enter your answer in the box.

Answers

20% = 20/100 = 0.2

85/0.2 = 425 ← answer

what is the period of the sinusoid given by y=-4sin( [tex] \frac{2π}{3} [/tex] x) ?

Answers

[tex]\bf \qquad \qquad \qquad \qquad \textit{function transformations} \\ \quad \\ % function transformations for trigonometric functions \begin{array}{rllll} % left side templates f(x)=&{{ A}}sin({{ B}}x+{{ C}})+{{ D}} \\\\ f(x)=&{{ A}}cos({{ B}}x+{{ C}})+{{ D}}\\\\ f(x)=&{{ A}}tan({{ B}}x+{{ C}})+{{ D}} \end{array} \\\\ -------------------\\\\[/tex]

[tex]\bf \bullet \textit{ stretches or shrinks}\\ \left. \qquad \right. \textit{horizontally by amplitude } |{{ A}}|\\\\ \bullet \textit{ flips it upside-down if }{{ A}}\textit{ is negative}\\ \left. \qquad \right. \textit{reflection over the x-axis} \\\\ \bullet \textit{ flips it sideways if }{{ B}}\textit{ is negative}\\ \left. \qquad \right. \textit{reflection over the y-axis}[/tex]

[tex]\bf \bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\ \left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\\\ \left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}\\\\ [/tex]

[tex]\bf \bullet \textit{vertical shift by }{{ D}}\\ \left. \qquad \right. if\ {{ D}}\textit{ is negative, downwards}\\\\ \left. \qquad \right. if\ {{ D}}\textit{ is positive, upwards}\\\\ \bullet \textit{function period or frequency}\\ \left. \qquad \right. \frac{2\pi }{{{ B}}}\ for\ cos(\theta),\ sin(\theta),\ sec(\theta),\ csc(\theta)\\\\ \left. \qquad \right. \frac{\pi }{{{ B}}}\ for\ tan(\theta),\ cot(\theta)[/tex]

with that template in mind, let's see

[tex]\bf \begin{array}{llll} y=&-4sin(&\frac{2\pi }{3}x)\\ &A&B \end{array}\qquad period\implies \cfrac{2\pi }{B}\implies \cfrac{2\pi }{\frac{2\pi }{3}}\implies \cfrac{\frac{2\pi }{1}}{\frac{2\pi }{3}} \\\\\\ \cfrac{2\pi }{1}\cdot \cfrac{3}{2\pi }\implies 3[/tex]

Answer:

The answer is 3 for A P E X

Step-by-step explanation:

Solve the system of equations: 2x + 9y = 0 and 3x + 5y = 17.

Answers

2x + 9y = 0 (1st)
3x + 5y = 17 (2nd)

multiply (st) by 3 and (2nd) by 2

6x + 27y = 0 (1st)
6x + 10y = 34 (2nd)
----------------------------subtract
17y = -34
y = -2

2x + 9y = 0
2x +9(-2) = 0
2x = 18
x = 9

answer
(9, -2)

What percentage is the fraction 2/4 equal to?

Answers

Is it equal to 50% because 2/4 is .5 and to make a fraction you move the decimal over two places to the right

It is equal to 50%.
When 2/4 is simplified, it becomes 1/2, which is equal to 0.5.

Find an explicit rule for the nth term of a geometric sequence where the second and fifth terms are 5 and 625, respectively.

Answers

we can wite the second term as a1r and 5th term as a1r^4 where a1 = first term and r = common ratio.

so (a1r^4) / (a1r) = r^3 = 625/5

r^3 = 125

r = 5

so a1* 5 = 5 giving a1 = 1

explicit rule is an = 5^(n-1)

A cone is a solid that has one circular base and only one face. true or false

Answers

the answer for this is true

Answer: true.

The cone is made by rotating a right triangle for 360°

The base is a circle, formed by one of the leg. The other leg makes the only one face.

this the picture for my question

Answers

3 is (x-3)(x-9) as when you use FOIL, you get -12x when adding -3x and -9x and also 27 when you multiply -3 times -9.

So, we know that the quadratic formula is x=-b+- the square root of b^2-4ac and all of this divided by 2a. You might be like "wow, where did all of these come from?" It is actually really easy. So, let's take your first equation: 2x^2-19x+24=0. So, let us look at the standard form for a quadratic formula: a^2+b+c=0. Now, If you look at the normal equation and the standard form for a quadratic, you will see that they are alike. Now, just match the letter with the number: a=2, b=-19, and c=24. Now that you know what each letter represents, you can plug everything into the equation x=-b+- the square root of b^2-4ac and all of this divided by 2a.

A video game club charges a fixed annual membership fee of $18 and $3 per video game rented. Let f(n) represent the total annual cost of renting n video games. Which of the following functions best represents the relationship between f(n) and n if the membership was increased by $20 the next year?

Answers

Since there is a flat membership fee of $18, the y intercept is 18. And since there is a $3 fee per number of video games rented, n, the slope or rate of change of the linear equation is 3. The slope-intercept form of a line is:

f(x)=mx+b, where m=slope and b=y-intercept so in terms of n, games rented, the cost, f(n) is:

f(n)=3n+18

Answer:

The correct answer is f(n)=3n+38

Step-by-step explanation:

Put in y=mx+b form, so y= f(n), $3 is fee per video game rented and n is the number of video games rented, b is ($18 fixed fee for this year +$20 fee for next year). So, f(n)=3n+38.

(4.05 LC)

The graph shows y as a function of x:

Graph of x against y shows 4 segments. Segment A is a horizontal line parallel to the x-axis. Segment B is a slanting straight line going up. Segment C is a horizontal line parallel to the x-axis. Segment D is a slanting straight line going down that touches the x-axis.

In which segment is the function increasing?
A
B
C
D

Answers

I think the answer will be B

Answer: I think the answer is A.

Step-by-step explanation:

I think this because its the only time that It could stay the same.

Which linear inequality is represented by the graph? y ≥ 1/3x – 4 y ≤ 1/3x – 4 y ≤ 1/3x + 4 y ≥ 1/3x + 4

Answers

solid line...means equal sign is present.....shading below the line means less then....u have a y int at (0,-4)...u have a positive slope of 1/3

thats gonna be 2nd answer choice

Answer:

[tex]y\leq \frac{1}{3}x-4[/tex]

Step-by-step explanation:

we know that

The solution of the inequality is the shaded area below the solid line

The slope of the line is positive

The y-intercept of the solid line is equal to [tex]-4[/tex]

therefore

The inequality must be

[tex]y\leq \frac{1}{3}x-4[/tex]

A parallelogram has vertices E(−4, 6), F(1, 3), G(3, −4), and H(−2, −1). What are the coordinates of the midpoint of each diagonal?

(−3.5, 2.5)
(−0.5, −1)
(−0.5, 1)
(0.5, −1)

Answers

I would say that the answer is (-0.5,1).
Hope this helped!

Graph the functions and approximate an x-value in which the quadratic function exceeds the exponential function. y = 4x y = 7x2 + 4x - 2
x = -0.5
x = 0
x = 0.5
x = 2

Answers

I believe that it is 0.5

Answer:

Option 3th is correct

x = 0.5

Step-by-step explanation:

The given functions are:

Function 1: [tex]y = 4^x[/tex]

Function 2: [tex]y=7x^2+4x-2[/tex]

The values of function at x = -0.5, 0, 0.5 and 2 are as follow:

x values Function 1 Function 2

-0.53 0.5 -2.25

0 1 -2

0.53 2.086 2.0863

2 16 34

From the above table. It is clear that the quadratic function [tex]y=7x^2+4x-2[/tex] exceeds the exponential function [tex]y = 4^x[/tex] at x = 0.53

Therefore, the approximate x-value in which the quadratic function exceeds the exponential function at x = 0.5

Josh has 40 minutes to complete a government exam. There are 15 multiple-choice questions worth 3 points each. There are also 5 short-answer questions worth 11 points each. It takes about 2 minutes for Josh to answer the multiple-choice questions m and about 8 minutes to complete the short-answer questions s. The system of inequalities that represents this problem is graphed below. Which ordered pair is not a vertex of the feasible region?

Answers

The feasible vertices of the system representing Josh's exam are (0,0), (12,5), and (15,1.25). The non-feasible vertices are (15,0), (0,5), and (20,0). Therefore, the ordered pair (15,0) is not a vertex of the feasible region.

1. System of Inequalities:

- Time constraint: [tex]$2m + 8s \leq 40$[/tex]

- Number of multiple-choice questions: [tex]$m \leq 15$[/tex]

- Number of short-answer questions: [tex]$s \leq 5$[/tex]

2. Feasible Vertices:

- (0,0), (12,5), (15,1.25)

3. Non-feasible Vertices:

- (15,0), (0,5), (20,0)

So, the ordered pair (15,0) is not a vertex of the feasible region.

how to write 314,207 in word form

Answers

three hundred fourteen thousand two hundred seven

Answer: three hundred fourteen thousand, two hundred seven

explanation for the comma after thousand: I’m used to putting one there because it says 314, not just 314 so I added one. Hope I helped !

Use the given graph to determine the limit, if it exists. A

Find limit as x approaches three from the left of f of x..

Answers

check the picture below.

(08.05)The box plot shows the total amount of time, in minutes, the students in a class spend traveling to school each day: A box plot is titled Daily Travel Time and labeled Time (min). The left most point on the number line is 10 and the right most point is 45. The box is labeled 16 on the left edge and 36 on the right edge. A vertical line is drawn inside the rectangle at the point 28. The whiskers are labeled as 11 and 43. What information is provided by the box plot?

Answers

Box plots give the five number summary of the data set. The whiskers indicate the minimum daily travel time, which is 11 minutes, and the maximum daily travel time, which is 45 minutes. These values are not outliers because they are connected to the box with whiskers. Meanwhile, the box indicates that the first quartile of the data set is 16, the median is 28, and the third quartile is 36.

The left-most point on the number line is 10.

Minimum value = 10

The right-most point is 45.

Maximum value= 45

First quartile or lower quartile = 16

Third quartile or upper quartile = 36

The median is 28.

Given that

The box plot shows the total amount of time, in minutes, the students in a class spend traveling to school each day:

A box plot is titled Daily Travel Time and labeled Time (min).

The left-most point on the number line is 10 and the right-most point is 45.

The box is labeled 16 on the left edge and 36 on the right edge.

A vertical line is drawn inside the rectangle at point 28.

The whiskers are labeled as 11 and 43.

We have to determine

What information is provided by the box plot?

According to the question

In the box plot, the information is given as follows.

The left-most point on the number line is 10.

Minimum value = 10

The right-most point is 45.

Maximum value= 45

First quartile or lower quartile = 16

Third quartile or upper quartile = 36

The median is 28.

To know more about Median click the given below.

https://brainly.com/question/9969858

I need all the answers for question 2 and please explain each step to get the answer, thanks

Answers

a) check the picture below

b)

hmm where is that point A anyway? sounds like it's asking the same thing as in part a)

c)

well, where's M, the midpoint of BC, let's check.

[tex]\bf \textit{middle point of 2 points }\\ \quad \\ \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) B&({{ 1}}\quad ,&{{ 4}})\quad % (c,d) C&({{ 9}}\quad ,&{{ 10}}) \end{array}\qquad % coordinates of midpoint \left(\cfrac{{{ x_2}} + {{ x_1}}}{2}\quad ,\quad \cfrac{{{ y_2}} + {{ y_1}}}{2} \right) \\\\\\ M=\left( \cfrac{9+1}{2}~,~\cfrac{10+4}{2} \right)\implies M=(5,7)[/tex]

now, the coordinator says that the midpoint of MC is at 6,8, let's check.

[tex]\bf \textit{middle point of 2 points }\\ \quad \\ \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) M&({{ 5}}\quad ,&{{ 7}})\quad % (c,d) C&({{ 9}}\quad ,&{{ 10}}) \end{array}\qquad % coordinates of midpoint \left(\cfrac{{{ x_2}} + {{ x_1}}}{2}\quad ,\quad \cfrac{{{ y_2}} + {{ y_1}}}{2} \right) \\\\\\ N=\left( \cfrac{9+5}{2}~,~\cfrac{10+7}{2} \right)\implies N=\left(7~,~\frac{17}{2} \right)\implies N=\left(7~,~8\frac{1}{2} \right)[/tex]

Other Questions

what is f^-1(1)? inverse function 5.What is a characteristic of an epic hero?A.The epic hero makes choices that hurt family members.B.The epic hero is average or below average in skill or character.C.The epic hero has exceptional characteristics but may be flawed in some way.D.The epic hero has a low status in society. Compare and contrast social media and traditional media. use an example of how a brand may use various type of media in an integrated communications plan. A paint store has 35 gallons of paint in storage, 2/5 of which are for outdoor use. The others are for indoor use. If each gallon costs$22, what is the total cost of the indoor paint in storage? Which eye do you begin the eye test on The following map shows the spread of Islam from 632 A.D. (CE) through 1000 A.D. (CE). Use the map to answer the following question:What does the map reveal about the early expansion of Islam? Islam had spread to more than one continent by 632 A.D.(CE). Expansion efforts originated in the city of Medina. Constantinople was one of the first areas conquered by Islamic armies. Europe was one of the first areas conquered by Islamic forces. Which statement best describes the expression 3 + 2 y? The quotient of y and the sum of 3 and 2 The quotient of the sum of 3 and 2 and y The sum of 3 and the quotient of 2 and y The sum of 3 and the quotient of y and 2best answer will get BRAINLIEST!!!!! How to define key terms in a research paper? Organization isA) the way words and phrases are used to tell the story B) the key elements of the story and the details that support them C) the format, structure and timeline of the story D) the use of proper spelling, punctuation, capitalization, and grammar Ideas is A) the way words and phrases are used to tell the story B) the descriptive words and phrases make the writing interesting C) the key elements of the story and the details that support them D) the way sentences are written and flow together to tell the story 16. How does globalization lead to interdependence among nations? A)Leaders make agreements with other nations to buy goods and services. B)People come to depend on foreign industry to provide them with employment. C)Nations begin to rely on each other for things they cannot produce themselves. D)Workers ask other nations to persuade sweatshops to provide a living wage. ([solve by writing an equation])A pair of jeans costs 75% as much as a pair of corduroy pants. what is the cost of each if the total cost for the jeans and cords is $42? I know the answer is Jeans: $18 and Cords: $24 but how do I write that in an equation to solve?? thank you!!! What is the taxi distance between A(2, 5) and B(7, 9)? how many miles can you get on one tank of gas if your tank holds 18 gallons and you get 22 miles per gallon During the movement westward, the language of American settlers was most influenced by the language of the plains Indians and which European language Which example of dialogue is formatted correctly? PLZ I NEED HELP ASAP Annie has a compost pile that produces 12 pounds of compost a day from yard waste. Which function expresses the amount of compost (c) as a function of the number of days (d)? The function representing the relationship between the amount of compost and the number of days is__, with the input as__. The pressure P exerted by a force varies inversely as the area A on which the force is applied. If 16 N/ft2 of pressure is exerted by a force on an area of 3 ft2 , what is the pressure exerted by the same force on an area of 6 ft2? A) 8 N/ft2 B) 16 N/ft2 C) 4 N/ft2 D) 32 N/ft2 If a product has 200 calories per serving and 100 calories from fat, then the percent of calories from fat would reveal that the product is:50% calories from fat and potentially an unhealthy choice50% calories from fat and a low-fat food item100% calories from fat and potentially an unhealthy choice50% calories from fat and potentially a healthy choice which type of political and social order is shown in this diagram ? What is the over-the-counter, lower-dose version of the fat-blocking prescription drug xenical (orlistat)? Steam Workshop Downloader