find the midpoint of the segment with the given end points D(5,1) and E(13,11)

Answer:

see explanation

Step-by-step explanation:

Given

x² - 6x + 7 = - 13

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 3)x + (- 3)² + 7 = - 13 + (- 3)²

x² - 6x + 9 + 7 = - 13 + 9

(x - 3)² + 7 = - 4

Answer:

x^2 - 6x+ __9__= -13 + __9__

Step-by-step explanation:

e2020

The answer is:

1017.88 square feet are blue.

To calculate how many square feet are blue, we need to calculate the area of the bottom of the circular swimming pool.

We need to remember that we can calculate the area of any circle using the following formula:

[tex]Area_{circle}=\pi radius^{2}[/tex]

Now, we know that the diameter of the bottom is equal to 36 feet, so, we can calculate the radius of the bottom using the following formula:

[tex]diameter=2radius\\\\radius=\frac{diameter}{2}[/tex]

So,

[tex]radius=\frac{36feet}{2}=18feet[/tex]

Then, calculating the area we have:

[tex]Area_{bottom}=\pi radius^{2}=\pi 18ft^{2}=1017.88ft^{2}[/tex]

Hence, we have that 1017.88 square feet are blue.

Have a nice day!

Answer:

Part 1) The measure of the exterior angle is 128°

Part 2) The measure of angle x is 30°

part 3) The value of x is 25 units

Step-by-step explanation:

Part 1)

step 1

Find the measure of the third internal angle of the triangle

Remember that the sum of the internal angles of a triangle must be equal to 180 degrees

Let

c----> the measure of the third internal angle

42+(9x-4)°+c°=180°

c=180°-42°-9x+4°

c=142°-9x

step 2

Find the value of x

we know that

c+(12x+8)°=180° ----> by supplementary angles

substitute

142°-9x+(12x+8)°=180°

3x=30°

x=10°

step 3

Find the measure of the exterior angle

(12x+8)°=(12(10)+8)°=128°

Part 2) Find the value of x

The figure show a equilateral triangle ( has three equal internal angles and three equal sides)  and an isosceles triangle ( has two equal internal angles and two equal sides)

Remember that

The internal angles of a equilateral triangle is 60 degrees

so

The vertex angle of the isosceles triangle is equal to

180°-60°=120° ----> by supplementary angles

therefore

The base angle of the isosceles triangle is equal to

2x+120°=180°

2x=60°

x=30°

Part 3) we know that

if AB is a midsegment

then

(4x-10)/2=45

solve for x

4x-10=90

4x=100

x=25 units

Density should be the answer

Answer:

Density

Step-by-step explanation:

Density is the mass of a substance per unit volume. Volume is the amount of space an object occupies.

D, because everything in front of the x is the slope and everything after the x is the y- intercept

Answer:

The correct answer is (D) slope=-3 and y-intercept=-2

Step-by-step explanation:

Answer:

a:36

Step-by-step explanation: because (2+1) is in parentheses, you solve that first. 2+1=3 and 3x12=36

hope this helps!

Answer:

36

Step-by-step explanation:

This is beause 2+1 is 3 and 3 muliplied by 12 is 36 which is A

Answer:

8 posts.

Step-by-step explanation:

There are  7 lengths of  7 feet in 49 feet.

That is 7 posts but there is a post at each end so the number required = 7 + 1 = 8 posts.

answer-

he should mix 16lbs of the 7.80 mix and 8lbs of the 11.40 mix

Step-by-step explanation:

hope this helps:) btw im a student at rsm and i got this for homework so ya. your welcome also, ik the answers wrong ...s i g h...

Answer:

The merchant should mix 53.33 pounds of cheaper cacao and 26.67 pounds of costlier cacao.

Step-by-step explanation:

A merchant wants to blend 80 pounds of cacao worth $9.00 a pound from two kinds: one at $11.40 a pound and the other at $7.80 a pound.

Let the number of pounds of cheaper cacao be x

Let the number of pounds of costlier cacao be y

The merchant wants total pounds = 80

So, first equation becomes:

[tex]x+y=80[/tex] or [tex]x=80-y[/tex]

Now values of per pounds become [tex]7.80x[/tex] and [tex]11.40y[/tex]

As the merchant wants the mixture worth $9 so second equation becomes:

[tex]7.80x+11.40y=9(80)[/tex]

=> [tex]7.80x+11.40y=720[/tex]

Substituting [tex]x=80-y[/tex] in second equation, we get

[tex]7.80(80-y)+11.40y=720[/tex]

=> [tex]624-7.80y+11.40y=720[/tex]

=> [tex]3.60y=96[/tex]

[tex]y=26.67[/tex] pounds

We know, [tex]x=80-y[/tex]

=> [tex]x=53.33[/tex] pounds

So, The merchant should mix 53.33 pounds of cheaper cacao and 26.67 pounds of costlier cacao.

We can check this:

[tex]53.33(7.80)+26.67(11.40)=720.012[/tex] dollars

Answer: I can help you with the first one.

Step-by-step explanation:

First, here is the formula D=(x2-x1)2+ (y2-y1)2 so you would plug the numbers in and get D= (0-(-3))^2)+(7-2)^2 now you would solve that and get 34 now you find the square root of 34 is the answer is 5.8

Hope that helps                  

recall that an absolute value expression is in effect a piece-wise with a ± version.

[tex]\bf |x-1| > 2\implies \begin{cases} +(x-1)>2\implies x-1>2\\\\ ~\hfill x>3\\ \cline{1-1} -(x-1)>2\implies x-1\stackrel{\downarrow }{<}-2\\\\ ~\hfill x<-1 \end{cases}[/tex]

Check the picture below.

Answer:

Step-by-step explanation:

[tex]x< -1\ or\ x>3\\\\\dfrac{-1+3}{2}=\dfrac{2}{2}=1\\\\x<-1\ or\ x>3\qquad\text{subtract 1 from all sides}\\\\x-1<-2\ or\ x-1>2\to|x-1|>2[/tex]

Answer:

13

Step-by-step explanation:

the quadratic formula will be used to solve the equation x²-3x-1=0

x = -b±√b²-4ac

          2a

b= -3, a= 1, c= -1

x =   --3±√3²-4*1*-1

             2*1

x =  3±√9+4

          2

x =  3±√13

         2

x₁ = 3 + √13

        2

x₂ = 3 - √13

          2

x₁² + x₂² - 2x₁x₂

22 + 6√13 + 22 - 6√13   + 2

     4                    4

22 + 6√13 + 22 - 6√13 + 8   = 52/4 =13

        4

Answer: option c

Step-by-step explanation:

You need to use this formula:

[tex]A=\frac{h}{2}(B+b)[/tex]

Where "h" is the height of the trapezoid, "B" is the larger base and "b" is the smaller base.

You know that:

[tex]B=16.8yd\\b=6.9yd\\h=2yd[/tex]

Then you need to substitute these values into the formula  [tex]A=\frac{h}{2}(B+b)[/tex].

Therefore, the area of this trapezoid is:

 [tex]A=\frac{2yd}{2}(16.8yd+6.9yd)[/tex]

 [tex]A=23.7yd^2[/tex]

Answer:

23.7 yd2

Step-by-step explanation:

Answer:

f^-1(x) = {4,3), (3,4), (6,-2)}

Step-by-step explanation:

To find the inverse of the function, exchange the x and the y

f(x) = {(3, 4), (4, 3), (-2, 6)}

f^-1(x) = {4,3), (3,4), (6,-2)}

She would be multiplying. If you send me the answers I can give you a better explained answer?

The answer is: Area 38.5

Answer:

Step-by-step explanation:

Put the coordinates of the points to the equation, and check it:

(-4, -1) → x= -4, y = -1

L = -5(-4) - 3(-1) =20 + 3 = 23

R = 22

L ≠ R

(-1, -4) → x= -1, y = -4

L = -5(-1) - 3(-4) = 5 + 12 = 17

R = 22

L ≠ R

(-2, -4) → x= -2, y = -4

L = -5(-2) - 3(-4) = 10 + 12 = 22

R = 22

L = R    CORRECT :)

(-4, -2) → x = -4, y = -2

L = -5(-4) - 3(-2) = 20 + 6 = 26

R = 22

L ≠ R

Answer:

Step-by-step explanation:

6(4*2-5)-5(2)

= 6(8-5)-10

= 6(3)-10

= 18-10

= 8

Answer:

4-3y and 2−4x

Step-by-step explanation:

Use the distributive property to multiply 1/3  by 12−9y.

1/3⋅12+1/3 (−9)y

Multiply 1/3  and 12 to get 12/3.

12/3+1/3 (−9)y

Divide 12 by 3 to get 4.

4+1/3 (−9)y

Multiply 1/3  and −9 to get (−9)/3.

4+(−9)/3 y

Divide −9 by 3 to get −3.

4−3y

Use the distributive property to multiply 1/4  by −16x+8.

1/4 (−16)x+1/4⋅8

Multiply 1/4  and −16 to get (−16)/4.

(−16)/4 x+1/4⋅8

Divide −16 by 4 to get −4.

−4x+1/4⋅8

Multiply 1/4  and 8 to get 8/4.

−4x+8/4

Divide 8 by 4 to get 2.

−4x+2  

The expressions 1/3(12-9y) and 1/4(-16x+8) are simplified by distributing the fractions over each term inside the parentheses, resulting in the simplified forms 4 - 3y and -4x + 2, respectively.

To solve the two separate algebraic expressions given, we'll perform operations step by step.

Solution for 1/3(12-9y):

Solution for 1/4(-16x+8):

Note that these are not equations with equals signs, so we cannot 'solve for y or x' in the traditional sense; we merely simplified the expressions.

ANSWER

See below

EXPLANATION

The given functions are:

[tex]g(x) = {x}^{2} [/tex]

and

[tex]h(x) = - {x}^{2} [/tex]

The following statements are true;

h(x) is the reflection of g(x) in the x-axis.

g(x) opens upwards while h(x) opens downwards

Both functions have their vertex and intercepts at the origin.

The x-axis is a tangent to both functions at x=0.

g(x) has a minimum point

h(x) has a maximum point.

Answer:

For any value of x, g(x) will always be greater than h(x).

For any value of x, h(x) will always be greater than g(x).

g(x) > h(x) for x = -1. TRUE

g(x) < h(x) for x = 3.

For positive values of x, g(x) > h(x). TRUE

For negative values of x, g(x) > h(x). TRUE

Step-by-step explanation:

answer on edge

Answer:

A; The graph has a slope of 6.

Step-by-step explanation:

A; True

B; The y value changes with the x

C; Has a steady slope of 6

D; You cant tell if this is a parabola

Answer:

Step-by-step explanation:

Remember that the slope represents the constant ratio of variation. In other words, is the number that variates the relation between variable.

So, the given table represents a proportional relationship, because you can observe that x-variable changes one unit, while y-variable changes 6 units. In other words, while y-variable changes 6 units, x-variable changes 1 unit, that's a proportional relationship, and its ratio is

[tex]m=\frac{y}{x}=\frac{6}{1}=6[/tex]

This means the proportional relationship has a slope of 6.

Therefore, the right answer is the first choice.

Remember that proportional relationships are represented by a straight line, where the slope is the constant of variation.

Answer:

[tex]t= 6\ s[/tex]

Step-by-step explanation:

We know that the equation that models the height of the ball as a function of time is [tex]h(t) = -16t ^ 2 + 80t + 96[/tex].

Where the initial speed is 80 feet.

When the ball lands on the ground, its height will be [tex]h(t) = 0[/tex].

So to know how long it will take the ball to reach the ground, equal h (t) to zero and solve for t.

[tex]-16t ^ 2 + 80t + 96 = 0[/tex]

To solve this quadratic equation we use the quadratic formula.

For an equation of the form:

[tex]at^2 +bt +c[/tex]

The quadratic formula is:

[tex]t=\frac{-b\±\sqrt{b^2 -4ac}}{2a}[/tex]

In this case

[tex]a =-16\\b = 80\\c =96[/tex]

Then

[tex]t=\frac{-80\±\sqrt{80^2 -4(-16)(96)}}{2(-16)}[/tex]

[tex]t_1=-1\\\\t_2=6[/tex]

We take the positive solution

[tex]t= 6\ s[/tex]

Answer:

After 5 seconds

Step-by-step explanation:

Have a great day

I'm not going to give you the answer but I'll help you.

Step-by-step explanation:

Start by writing down your thoughts down and then form them into a paragraph.

- Write down your opinion of what classic is

- Give 3 traits/characteristics that makes that thing classic (high-quality, timeless, aged, eternal, original etc.)

- Then write down whether or not you think your definition of classic is different from the googled definition

That would be angle 2. It is on the opposite of angle 7 and it is inside the two parallel lines

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer: the value of y is 1. If needed, the value of x is 4.

Step-by-step explanation:

See paper attached. (: I went ahead and solved for x too, just in case.

It should be 44ft high

For this case we have that the height of the stack of sheets is given by the number of sheets multiplied by the thickness of each. That is to say:

[tex]\frac {3} {16} * 14 = \frac {14 * 3} {16} = \frac {42} {16} = \frac {21} {8} = 2.625[/tex]

Thus, the height of the stack is 2,625 inches

Answer:

2.625 inches

Answer:

so they dont get cramps or chairly horses

Step-by-step explanation:

Answer:

Here's the reasons why it's important to stretch before and after a workout. When it comes to pre-workout stretching, stretching before a workout helps your body to become more pliable, which decreases your risk for injury. ... The main muscles groups used during the session are the ones that need to stretch. And sometimes for example middle splits you might need to repair your hips to fake one because you didn't stretch to open the muscles up first not force them

Step-by-step explanation:

I hope you understood it. Good Luck

Please mark me brainliest please!!

Answer:

Answer D

Step-by-step explanation:

We'd need more information to answer this question, namely, the unit price for organic apples.  Without this info there is nothing to compare.  Answer D

Steepness of a line is measured by its slope. For the considered case: Option D: We need more information to answer this question.

A straight line of the form [tex]y = mx + c[/tex] has its slope as 'm'

It is constant for a line. The more the slope is, the steeper the line is.

Sign convention takes bottom left to top right going line as positive sloped. And that line which goes from bottom right to top left is taken to have negative slope. Horizontal line has 0 slope and vertical line has infinite slope, as it is now at maximum steepness.

For the given case, we're not given the price of organic apples. If we assume that the price of organic apples is given by [tex]y = Ax[/tex] [tex]y = Px[/tex]

Then, if A > 2.75, then graph of organic apples is steeper, else if A < 2.75, then the graph of pears is steeper.

Otherwise, if A = 2.75 (which means price of pears = price of organic appples), then both are of same steepness.

Since we don't know A's value here, thus:

For the considered case: Option D: We need more information to answer this question.

Learn more about slope of a straight line here:

https://brainly.com/question/2503591

Answer:

3x3 in.

Why did you need to know that?

Well, anyway...hope it helped anyway...

Step-by-step explanation:

Answer:

See the picture below for the graph.

To solve the given system of equations, we have to find the intersecting point of the two lines.

As shown in the picture below, the intersecting point is (3, -1).

Therefore, x = 3 and y = -1.

Answer:

Step-by-step explanation:

y = -x + 2

2x - y = 7

I think you would benefit from graphing these equations yourself and then identifying the coordinates of their intersection.  To help you get started out:

Line 1:  Here the slope is -1 and the y-intercept is 2.  Plot a dark dot at (0, 2).  Now, starting with your pencil point on that dot, move 1 unit to the right and from this new location move 1 unit down.  Plot another dark dot there.  Now draw a line through these two dots.

Line 2:  2x - y = 7 when solved for y is   y = 2x - 7, which has a slope of 2 and y-intercept of -7.  Plot a dot at (0, -7).  From that point, move 1 unit to the right and from this new location move 7 units down.  Plot another dot there.  Draw a line thru these two dots.

Identify the coordinates of the point of intersection of these two lines.  For your reference I will find the solution using elimination by addition and subtraction.  Rewrite 2x - y = 7 as y = 2x - 7:

y = 2x - 7

y = -x   +2

--------------     SUBTRACT the second equation from the first, obtaining:

0  = 3x - 9.  Then 3x = 9 and x = 3.  Subbing 3 for x in y = 2x - 7, we get y = 2(3) - 7, or y = -1.

The two lines intersect at the point (3, -1).

Answer:

MsEHolt Brainly Teacher

The y-coordinate of the solution is 11.

Both equations have y isolated.  We will use substitution for this system:

5x-9=x²-3x+7

We want to gather all of the variables on one side, so we will subtract 5x from each side:

5x-9-5x=x²-3x+7-5x

-9=x²-8x+7

We want the equation to be equal to 0 to solve it, so we will add 9 to both sides:

-9+9=x²-8x+7+9

0=x²-8x+16

This is easy to factor; factors of 16 that sum to -8 are -4 and -4:

0=(x-4)(x-4)

Since these are the same factor, we solve it to get our answer:

x-4=0

x-4+4=0+4

x=4

Substitute this into the first, linear, equation:

y=5(4)-9=20-9=11

Read more on Brainly.com - https://brainly.com/question/9222432#readmore

Step-by-step explanation:

i copied and psted by the way its a forum

Answer:

(4, 11)

Step-by-step explanation:

Given the 2 equations

y = 5x - 9 → (1)

y = x² - 3x + 7 → (2)

Substitute y = x² - 3x + 7 into (1)

x² - 3x + 7 = 5x - 9 ( subtract 5x - 9 from both sides )

x² - 8x + 16 = 0 ← in standard form

(x - 4)² = 0 ← in factored form

x - 4 = 0 ⇒ x = 4

Substitute x = 4 into (1) for corresponding value of y

y = (5 × 4) - 9 = 20 - 9 = 11

Solution is (4, 11)