What is the midpoint of the segment below?
(2, 3)
(-3.-2)

What Is The Midpoint Of The Segment Below?(2, 3)(-3.-2)

Answers

Answer 1

The formula for finding the midpoint of a line segment is[tex](\frac{x1+x2}{2}, \frac{y1+y2}{2})[/tex].  Plug in and solve:

[tex](\frac{2-3}{2} , \frac{3-2}{2})[/tex]

(-1/2, 1/2)

(-0.5, 0.5)

Hope this helps!!

Answer 2

The midpoint of the segment is (-0.5, 0.5)

What is midpoint of the segment?

The midpoint of a line segment is a point that lies halfway between 2 points. The midpoint is the same distance from each endpoint.

Given points: (2, 3) and (-3.-2).

The formula for midpoint is

(x1+x2/2, y1+y2/2)

= (2-3/2, 3-2/2)

=(-1/2, 1/2)

= (-0.5, 0.5)

Hence, the midpoints of the segment is  (-0.5, 0.5).

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Related Questions

What is the value of

Answers

[tex]\displaystyle\\\sum_{n=2}^6\dfrac{(n-1)!}{2}=\dfrac{(2-1)!}{2}+\dfrac{(3-1)!}{2}+\dfrac{(4-1)!}{2}+\dfrac{(5-1)!}{2}+\dfrac{(6-1)!}{2}=\\\\=\dfrac{1}{2}+\dfrac{2}{2}+\dfrac{6}{2}+\dfrac{24}{2}+\dfrac{120}{2}=0.5+1+3+12+60=76.5[/tex]

Answer:

D. 76.5

Step-by-step explanation:

The summation sign means that it is the sum of the expression for all values of n upto 6.

n = 2 below the summation sign means that n starts from 2.

∑(n-1)!/2 from n= 2 to n=6

= (2-1)!/2 + (3-1)!/2 + (4-1)!/2 + (5-1)!/2 + (6-1)!/2

= 1!/2 + 2!/2 + 3!/2 + 4!/2 + 5!/2

= 1/2 + 2*1/2 + 3*2/2 + 4*3*2/2 + 5*4*3*2/2

= 1/2 + 2/2 + 6/2 + 24/2 + 120/2

= 0.5 + 1 + 3 + 12 + 60

= 76.5

Which diagram best shows how fraction bars can be used to evaluate 1/2 divided by 1/4?

Answers

The second option is the best representation of the question.

What is a fraction?

Fractions represent equal parts of a whole or a collection.

Explanation:

The whole quantity = 1

Divide this whole by 4 and separate it into four equal parts of 1 / 4

Combine two of these four parts to make 1 / 2

Hence, the second option is the best representation of the given question.

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Will mark Brainlist

Which variable expression represents the following word phrase?
four times the sum of five and a number

4.5+n

4n + 5

4(5 + n)

n. 5+4​

Answers


“Sum of 5 and a number” = (5 + n)

Hence four times this expression is

4 x (5 + n)
Or simply
4(5+n)

Answer:

The correct option is C) 4(5 + n).

Step-by-step explanation:

Consider the provided phrase.

Four times the sum of five and a number

Let the number is n and the sum of five and a number can be written as:

[tex]n+5[/tex]

Thus, four times the sum of five and a number can be written as:

[tex]4(n+5)[/tex]

Hence, the required expression is [tex]4(n+5)[/tex]

Therefore, the correct option is C) 4(5 + n).

The graph below shows an airplane's speed over a period of time. Describe the events.

Answers

Answer:

The airplane gains speed when it takes off. Then it begins to lose speed at the same rate. The plane then stays at the same speed the rest of the time.

For which values of x does 2x^2=10x?

Answers

Answer:

x = 0; x = 5

Step-by-step explanation:

2x² = 10x

2x² - 10x = 0

2x(x - 5) = 0

x = 0; x = 5

Answer:

The values of x for which it is true that  [tex]2x^2=10x[/tex]  are:

[tex]x = 0[/tex] and [tex]x = 5[/tex]

Step-by-step explanation:

We have the following equation

[tex]2x^2=10x[/tex]

To solve the equation subtract 10x on both sides of the equation

[tex]2x^2-10x=10x-10x[/tex]

[tex]2x^2-10x=0[/tex]

Now take the variable x as a common factor

[tex]2x(x-5)=0[/tex]

Then the equation is equal to 0 when x = 0 or when x = 5

[tex]x = 0[/tex] and [tex]x = 5[/tex]

Please answer from the question above :)

Answers

Answer:

205/6

Step-by-step explanation:

The question simply asks us to plug in 45 minutes into the given equation. In the graph, we see that y-axis is defined to be time. Therefore we set y=45 and solve for x.

45=-6/5x+86

-41=-6/5x (subtract 86 from both sides)

-41*(-5)=-6/5x*(-5) (multiply both sides by -5)

205=6x (divide both sides by 6)

205/6=x

In your last 14 basketball games, you attempted 65 free throws and made 47. Find the experimental probability that you make a free throw. Write the probability as a percent, to the nearest tenth of a percent.

Answers

Answer:

Step-by-step explanation:

% = (sucesses / attempts) * 100

% = (47/65) * 100

% = 0.723 * 100

% = 72.3 %

Answer: 72.3%  

Step-by-step explanation:

Given statements : The number of basketball games = 14

The number of free throws attempted = 65

The number of made = 47

Now, the experimental probability that you make a free throw is given by :-

[tex]\dfrac{\text{47}}{65}=0.72307\approx0.723[/tex]

In percent , [tex]0.723\times100=72.3\%[/tex]

Hence, the  experimental probability that you make a free throw =72.3%  

find the difference between (7,-1) and (-8,-9)

Answers

[tex]\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{7}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{-8}~,~\stackrel{y_2}{-9})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[-8-7]^2+[-9-(-1)]^2}\implies d=\sqrt{(-8-7)^2+(-9+1)^2} \\\\\\ d=\sqrt{225+64}\implies d=\sqrt{289}\implies d=17[/tex]

For this case we have that by definition, the distance between two points is given by:

[tex]d = \sqrt {(x_ {2} -x_ {1}) ^ 2+ (y_ {2} -y_ {1}) ^ 2}[/tex]

According to the data we have:

[tex](x_ {1}, y_ {1}) :( 7, -1)\\(x_ {2}, y_ {2}): (- 8, -9)[/tex]

Substituting:

[tex]d = \sqrt {(- 8-7) ^ 2 + (- 9 - (- 1)) ^ 2}\\d = \sqrt {(- 15) ^ 2 + (- 9 + 1) ^ 2}\\d = \sqrt {(- 15) ^ 2 + (- 8) ^ 2}\\d = \sqrt {225 + 64}\\d = \sqrt {289}\\d = 17[/tex]

Thus, the difference or distance between the points is 17

Answer:

[tex]d = 17[/tex]

Rewrite this radicand as two factors, one of which is a perfect square. √60

Answers

Answer:

√4 * √15.

Step-by-step explanation:

√60

=√(4 * 15)

= √4 * √15

Answer:

our answer is  [tex]\sqrt{4}*\sqrt{15}[/tex] or in simplified form

as [tex]2*\sqrt{15}[/tex]

Step-by-step explanation:

[tex]\sqrt{60}[/tex]

We need to solve the above expression

Factors of 60:

1X60,  2X30, 3X20, 4X15, 5X12, 6X10

We need two factors one of which is perfect square

From the above factors only 4X15 full fills our condition as 4 is a perfect square

[tex]\sqrt{60}\\ =\sqrt{4 * 15}\\ We\,\,know\,\, \sqrt{a*b}= \sqrt{a}*\sqrt{b}\\ =\sqrt{4}*\sqrt{15}\\[/tex]

Solving, we get

[tex]2*\sqrt{15}[/tex]

So, our answer is  [tex]\sqrt{4}*\sqrt{15}[/tex] or in simplified form

as [tex]2*\sqrt{15}[/tex]

in 3 games sherrys bowling scores were 109, 98 and 135. her highest score was how much more than her Lowest scores

Answers

To find out the difference between her highest score and lowest score, we can deduct the amount of highest score by lowest score.

Her highest score: 135

Her lowest score: 98

Her highest score is higher than the lowest score by:

135 - 98

=37

Therefore, her highest score is 38 more than her Lowest score.

Hope it helps!

37 is the difference between 135 and 98

if f(x)= 3x+6 which of the following is the inverse of f(x)

Answers

Answer:

f(x)^-1 = 1/3x - 2

Step-by-step explanation:

Replace f(x) with y and solve:

y = 3x + 6

Swap x and y

x = 3y + 6

Now isolate y

x/3 = 3y/3 + 6/3

1/3 x = y + 2

1/3 x - 2 = y + 2 - 2

y = 1/3x - 2 or f(x)^-1 = 1/3x - 2

For this case we have the following function:

[tex]f (x) = 3x + 6[/tex]

We must find the inverse of the function, then:

Replace f (x) with y:[tex]y = 3x + 6[/tex]

We exchange the variables:

[tex]x = 3y + 6[/tex]

We solve for "y":

Subtracting 6 on both sides of the equation:

[tex]x-6 = 3y[/tex]

Dividing between 3 on both sides of the equation:

[tex]y = \frac {x} {3} - \frac {6} {3}\\y = \frac {x} {3} -2[/tex]

We change y by [tex]f ^ {- 1} (x)[/tex], and finally we have:

[tex]f ^ {- 1} (x) = \frac {x} {3} -2[/tex]

ANswer:

[tex]f ^ {- 1} (x) = \frac {x} {3} -2[/tex]

What is the slope of the line that contains the points (-2,2) and (3,4)?

Answers

Answer:

slope = [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 2, 2) and (x₂, y₂ ) = (3, 4)

m = [tex]\frac{4-2}{3+2}[/tex] = [tex]\frac{2}{5}[/tex]

2(15) – 3(4)
Plz help

Answers

Answer:

18

Step-by-step explanation:

2(15) - 3(4)

= 30 - 12

= 18

Find the decimal equivalent of 6/9

Answers

Answer:

0.66666666666666666 ( goes on forever )

Step-by-step explanation:

This simplifies to 2/3, which is known to be 0.666666666666 and so on.

Answer:

0.66666667

Step-by-step explanation:

The numbers just keep going on and on and on, but the 7 in the number stops it.

20 Points! if pencils cost $2.40 for twelve, what is the unit price per pencil?

Answers

Answer:

$0.20

Step-by-step explanation:

A dozen of pencils = $2.40

1 pencil = $2.40 ÷ 12 = $0.20

PLEASE DO MARK ME AS BRAINLIEST UWU

ALSO, DO HAVE A GREAT DAY ;)

Final answer:

The unit price per pencil is determined by dividing the total cost of the pencils ($2.40) by the total number of pencils (12), giving a result of $0.20 per pencil.

Explanation:

To find the unit price per pencil, you would divide the total cost by the total number of items.

In this case, the total cost is $2.40 and there are twelve pencils, so the calculation is $2.40 ÷ 12.

This will give you the unit price per pencil.

Using the numbers provided, $2.40 (the total cost) divided by 12 (the total number of pencils) equals $0.20.

So, the unit price of a pencil is $0.20.

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Which set of coordinates, paired with (-3, -2) and (-5, -2), result in a square?

Answers

The set of coordinates which paired with (-3,-2) and (-5,-2) are (-4,0) and (-4,0).

What are coordinates?

The coordinates are the points with the help of which we can draw any figure on the graph.

How to find coordinates?

We know that all the sides of a square are equal to each other.

Let ABCD be a square.

Coordinates of A(-3,-3) and C be(-5,-2)

Let the coordinates of B and D be (x1,y1) and (x2,y2)

To be a square AB=CD=BC=AD

AB=BC

[tex]\sqrt{(x1+3)^{2}+(y1+2)^{2} }[/tex]=[tex]\sqrt{(-5-x1)^{2} +(-2-y1)^{2} }[/tex]

solving this we will find

x1=-4

because y1 is not in the solution so y1 be equal to 0.

AD=DC

[tex]\sqrt{(-5-x2)^{2} +(-2-y2)^{2} }[/tex]=[tex]\sqrt{(x2+3)^{2} +(y2+2)^{2} }[/tex]

solving this we will find x2=-4 and y2=0

Hence the coordinates are (-4,0),(-4,0)

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Final answer:

The coordinates that form a square when paired with (-3, -2) and (-5, -2) are (-3, 0) and (-5, 0). The sides of the square are 2 units long, and by moving perpendicularly up by 2 units from each given point, we find the other two vertices of the square.

Explanation:

The student has asked which set of coordinates, when paired with (-3, -2) and (-5, -2), would result in a square. To find the coordinates that complete the square, we need to consider that the diagonals of a square are equal in length and bisect each other at right angles. The two given points (-3, -2) and (-5, -2) form a side of the square that is parallel to the x-axis and 2 units long. Since a square has all sides equal, the other two vertices of the square will be 2 units away from these points but in a perpendicular direction.

Here's how we calculate it step by step:

First, we determine the length of the side of the square by calculating the distance between the points (-3, -2) and (-5, -2), which is 2 units.

Next, we move 2 units perpendicularly from each point which can be done by either keeping the x-coordinate constant and changing the y-coordinate or vice versa. Since we want to be perpendicular to the x-axis, we change the y-coordinate.

The change in the y-coordinate could be either upwards (+2) or downwards (-2). Considering the y-value of the given points, one possible set of coordinates for the other two vertices are (-3, 0) and (-5, 0).

Therefore, the coordinates (-3, 0) and (-5, 0), when paired with (-3, -2) and (-5, -2), form a square.

What’s the median of the data 24,2,13,12,2,5,10,18

Answers

Answer:

11

Step-by-step explanation:

arrange from smallest to greatest:

2,2,5,10,12,13,18,24

The median is the middle name.

If you have two middles, the median is the average of them.

So you have 2 middles, 10 and 12.

The average of 10 and 12 is given by (10+12)/2=11

Hello There!

The median is the middle number of the data set so let’s find it!

Step 1. Order your numbers from least to greatest so after we have done that, our numbers would be 2,2,5,10,12,13,18,24

Step 2. We want to cross of a number at the beginning so Starting with 2 and the last number 18 and do that either until we get to one number in the middle or two numbers.

Step 3. There is no one number in the middle but we have the numbers 10 and 12 so we add them together which gives us a sum of 22 and then divide 22 by 2 and we get a quotient of 11.

Our median is 11.

What is the radius of a circle whose equation is x2 + y2 + 8x – 6y + 21 = 0? units

Answers

Answer:

2

Step-by-step explanation:

Center: (−4,3)

Radius: 2

Answer:

radius = 2

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r the radius

Given

x² + y² + 8x - 6y + 21 = 0

Use the method of completing the square to obtain standard form

Collect the x- terms and y- terms together and subtract 21 from both sides

x² + 8x + y² - 6y = - 21

add ( half the coefficient of the x/y terms )² to both sides

x² + 2(4)x + 16 + y² + 2(- 3)y + 9 = - 21 + 16 + 9

(x + 4)² + (y - 3)² = 4 ← in standard form

with centre (- 4, 3) and radius = [tex]\sqrt{4}[/tex] = 2

help Given the function f(x) = 4x + 10 and g(x), which function has a greater slope?


x g(x)
2 5
4 7
6 9
f(x) has a greater slope.
g(x) has a greater slope.
The slopes of f(x) and g(x) are the same.
The slope of g(x) is undefined.

Answers

[tex]\bf f(x)=\stackrel{\stackrel{m}{\downarrow }}{4} x+10\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf \begin{array}{ccll} x&g(x)\\ \cline{1-2} 2&5\\4&7\\6&9 \end{array}~\hfill \begin{array}{llll} (\stackrel{x_1}{2}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{9}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{9-5}{6-2}\implies \cfrac{4}{4}\implies \stackrel{\stackrel{m}{\downarrow }}{1} \end{array}[/tex]

well, clearly 4 > 1.

Answer:

f(x) has a greater slope.

Step-by-step explanation:

The slope of a function in the form of y=Mx+C is represented by the letter M, so the slope in the function F(x) =4.

Now when you have a function but you only have a table to evaluate it, to calculate the slope you have the next formula:

[tex]m=\frac{y^{2}- y^{1}}{x^{2} -x^{1} }[/tex]

You just have to pick two points from the table to use in the formula, we´ll use (4,7) as our point 1 and

(6,9) as our point 2.

This means that:

[tex]x^{1}=4[/tex] [tex]y^{1}=7[/tex]

[tex]x^{2}=6[/tex] [tex]y^{2}=9[/tex]

Now you just put it into the formula:

[tex]m=\frac{9-7}{6-4}[/tex]

[tex]m=\frac{2}{2}[/tex]

[tex]m=1[/tex]

Now that you have both slopes, you can see that the slope of g(x)=1 and the slope of f(x)=4, and you can see that f(x) has a greater slope thatn g(x).

How does -1.125 + 1.2 = 0.075 instead of 0.925?

Answers

Answer:

.0075 (hope this help; let me know if not)

Step-by-step explanation:

The operation is + and the signs of the numbers are opposite so we have to subtract. The bigger number has positive sign in front if so we do 1.2-1.125=1.200-1.125

I'm going to line up

1.200

-1.125

---------

If you have 200 and you take about 125... 75 should beleft

so

1.200

-1.125

---------

0.075

What is the slope of (-1, 6) and (2, -3)

Answers

Answer:

Slope = -3

Step-by-step explanation:

Slope of a straight line graph is given by; change in y ÷ change in x

Slope = [tex]\frac{-3 - 6}{2 - -1}[/tex] = [tex]\frac{-9}{3}[/tex] = -3

[tex]\text{Hey there!}[/tex]

[tex]\text{The formula should look like: m =\ }\bf{\frac{y_2-y_1}{x_2-x_1}}[/tex]

[tex]\text{y}_2=-3\\\\\text{y}_1=6\\\\\text{x}_2=2\\\\\text{x}_1=-1[/tex]

[tex]\frac{-3-6}{2-(-1)}[/tex]

[tex]\text{-3 - 6 = -9}[/tex]

[tex]\frac{-9}{2-(-1)}[/tex]

[tex]\text{2-(-1)=2 + 1 = 3}[/tex]

[tex]\frac{-9}{3}=-9\div3=-3[/tex]

[tex]\boxed{\boxed{\text{Thus your answer/ slope is: -3}}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Rate of change from the line

Answers

[tex]\textbf{Answer:}[/tex]

[tex]\frac{-1}{4}[/tex]

[tex]\textbf{Step-by-step explanation:}[/tex]

[tex]\frac{y2 - y1}{x2 - x1}[/tex]

[tex]\textrm{Use the formula above to determine the rate of change}[/tex]

[tex]\frac{1 - 2}{4 - 0} \rightarrow\frac{-1}{4}[/tex]

[tex]\textrm{The rate of change of this line is }[/tex] [tex]\frac{-1}{4}[/tex]

recall that all we need is two points off a straight line to get its slope, so... hmmm this one passes through (0 , 2) and (4 , 1), so let's use those

[tex]\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{1}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{1-2}{4-0}\implies -\cfrac{1}{4}[/tex]

1 Point
What is the greatest common factor (GCF) of the numerator and denominator
in the rational expression below?
9x+45
x2 +9x+20
O A. x+4
O B. 9
0.0
D. X +5
Please help I’m stressed and I wanna cry MATH IS ANOTHER LANGUAGE TO ME

Answers

Answer: X+5

Step-by-step explanation:

When you take out the 9 it should be 9(x+5) and when you take out the 9x on the bottom it gives you (x+5)+20 therefore x+5 is your GCF.

I hope this helps :)

Final answer:

The greatest common factor (GCF) of the numerator 9x+45 and the denominator x^2 +9x+20 of the provided rational expression is x+5.

Explanation:

The greatest common factor (GCF) is found by factoring both the numerator and the denominator and then identifying the largest factor that appears in both. For the provided rational expression 9x+45 over x2 +9x+20, let's factor both parts:

Numerator: 9x+45 can be factored out as 9(x+5).Denominator: x2 +9x+20 can be factored into (x+4)(x+5).

Comparing both factored forms, we can see that x+5 appears in both the numerator and the denominator, and it is the largest factor common to both. Therefore, the GCF of the numerator and the denominator is x+5.

The triangles to the right are congruent. Which of the following statements must be true

Answers

Answer:

It is the last one, bc=df

The true statement is one that derives from the condition that ΔABC and

ΔDEF are congruent.

Response:

The statement that must be true is; ∠A ≅ ∠D

How can the true statement be found?

Given that the tringles are congruent, we have;

The length of the corresponding sides are equal

Similarly, the measure of the corresponding are equal

The side [tex]\mathbf{\overline{AC}}[/tex] ≅ Side [tex]\overline{DE}[/tex]

Side [tex]\mathbf{\overline{AB}}[/tex] ≅ Side [tex]\overline{EF}[/tex]

Which gives;

∠A ≅ ∠D

Given that ΔABC ≅ ΔDEF, we have;

Side [tex]\mathbf{\overline{BC}}[/tex] ≅ Side [tex]\overline{DF}[/tex]

Which gives;

∠C ≅ ∠F

Therefore;

∠B ≅ ∠D

The correct option is therefore; ∠A ≅ ∠D

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Given: AB= 4
AD= 6
Which points are in the exterior of both circles?
E and G
H and F
H and G

Answers

Answer:

A

Step-by-step explanation:

The answer would be E and G. Points E and G are both OUTSIDE both circles

Hope this helped!

~Just a girl in love with Shawn Mendes

Find the circumference of the circle. Round your answer to two decimal places, if necessary.

Answers

To find a circumference, use the formula c=2(pi)r or c=(pi)d

For this one use c=(pi)d
c=(pi)(8)
c=25.13ft

What is 1,242/99 rounded to the nearest integer? Explanation please?

Answers

Answer:

13 is the answer.

Step-by-step explanation:

In this question the given fraction is

Now we have to simplify the fraction to the nearest integer.

Since the integers are whole number not in fraction therefore 12.5 can be written as 13 as the nearest integer.

Step-by-step explanation:

Please mark brainliest and have a great day!

Final answer:

To find 1,242 divided by 99 and rounded to the nearest integer, we do the division and then round the result. The result of the division is 12.545..., and when rounded to the nearest integer, we get 13.

Explanation:

The question is asking us to divide 1,242 by 99 and round the result to the nearest integer. First, we do the division: 1,242 ÷ 99 = 12.545454545.... Since we need to round to the nearest integer, we look at the digits following the decimal point. Because the digit immediately after the decimal point is 5 or more, we round up the integer part. So, 1,242 ÷ 99 rounded to the nearest integer is 13.

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how to find a slope of a line on a graph

Answers

Answer:

change of y/ change of x

Step-by-step explanation:

What is [(x^2y^3)^1/3]/ [^3 √x^2y] in exponential form?

Answers

Answer:

answer for question 1 is A and question 2 is B

Step-by-step explanation:

i literally just took the assignment

[tex](x^{2} y^{3})^{1/3}[/tex]/∛x²y in exponential form [tex]x^{2/3}y^{1}[/tex]÷[tex]x^{2/3 }\;y^{1/3} }[/tex].

The correct option is (A)

What is power and exponents?

power defines a base number raised to the exponent, where base number is the factor which is multiplied by itself and

exponent denotes the number of times the same base number is multiplied.

Given function is:

[tex](x^{2} y^{3})^{1/3}[/tex]/∛x²y

Now, using rules of exponents and power

=[tex]x^{2/3} y^{3/3}[/tex]÷[tex]x^{2/3 }\;y^{1/3} }[/tex] [(a²)³= [tex]a^{6}[/tex]]

=[tex]x^{2/3}y^{1}[/tex]÷[tex]x^{2/3 }\;y^{1/3} }[/tex]

Hence, [tex](x^{2} y^{3})^{1/3}[/tex]/∛x²y= =[tex]x^{2/3}y^{1}[/tex]÷[tex]x^{2/3 }\;y^{1/3} }[/tex]

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When solving for x, the sine of 44º is used. What other angle and trigonometric function could be used to solve for x? a. tan 46º c. tan 44º b. cos 46º d. cos 44º

Answers

Answer:

cos46°

Step-by-step explanation:

Using the co function identity

sin x° = cos(90 - x)°, hence

sin44° = cos(90 - 44)° = cos46°

Answer:  The correct option is (b) cos 46°.

Step-by-step explanation:  Given that when solving for x, the sine of 44º is used.

We are to select the other angle and trigonometric function that could be used to solve for x.

We know that,

the sine of any acute angle is equal to the cosine of its complement.

That is,

if y denotes the measure of any acute angle, then we have

[tex]\sin y=\cos(90^\circ-y).[/tex]

Therefore, if y = 44°, then we get

[tex]\sin 44^\circ=\cos(90^\circ-44^\circ)=\cos 46^\circ.[/tex]

Thus, the other angle and the  trigonometric function that could be used to solve for x is cos 46°.

Option (b) is CORRECT.

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