X/7 = -3<br> 1. x = -21<br> 2. x = -10<br> 3. x = 4<br> 4. x = 21

Find the coordinates of the midpoint of the segment.<br> MN with endpoints M (4, 10) and N(-2,-6)

Georgia [21]

Answer:

The answer is

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

$M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

M (4, 10) and N(-2,-6)

The midpoint is

$M = ( \frac{4 - 2}{2} , \: \frac{10 - 6}{2} ) \\ = ( \frac{2}{2} \: , \: \frac{4}{2} )$

We have the final answer as

Hope this helps you

3 0

2 years ago

Two more than a number equals three times the sum of one third of the number plus six. Is this statement true for only one numbe

Ulleksa [173]

Answer:

Step-by-step explanation:

n + 2 = 3(1/3n + 6)

n + 2 = n + 18

NO NUMBERS....because this equation has no solution

4 0

2 years ago

What is the slope between (20,5) and (17,11)

Andre45 [30]

Answer:

2

Step-by-step explanation:

Slope: (y₂ - y₁) / (x₂ - x₁)

Putting in the values we have:

(11 - 5) / (20 - 17) =

6 / 3 = 2

Thus, the slope is 2.

8 0

2 years ago

A rectangular piece of metal is 15 in longer than it is wide. Squares with sides 3 in long are cut from the four corners and the

ziro4ka [17]

Answer:

The original dimensions of the piece of metal are

Length: 36 inches

Width: 21 inches

Step-by-step explanation:

Let

x ----> the original length pf the piece of metal

y ----> the original width pf the piece of metal

we know that

$x=y+15$ ----> equation A

The volume of the box is equal to

$V=LWH$

we have

$V=1,350\ in^3$

$L=(x-3-3)=(x-6)\ in\\W=(y-3-3)=(y-6)\ in$

$H=3\ in$

substitute in the formula of volume

$1,350=(x-6)(y-6)(3)$ ----> equation B

substitute equation A in equation B

$1,350=(y+15-6)(y-6)(3)$

solve for y

$450=(y+9)(y-6)$

$y^2-6y+9y-54=450\\y^2+3y-504=0$

Solve the quadratic equation by graphing

using a graphing tool

The solution is y=21

Find the value of x

$x=21+15=36$

therefore

The original dimensions of the piece of metal are

Length: 36 inches

Width: 21 inches

5 0

2 years ago

3. Look at the map. Explain why Elm Street and Birch Street are not perpendicular.

Temka [501]

Answer:

A. The slope of Birch Street is 0. To be perpendicular to Elm, Birch would have to have a slope of negative 4/7.

Step-by-step explanation:

I had this same question on Gradpoint and got it correct.

4 0

2 years ago

X/7 = -3 1. x = -21 2. x = -10 3. x = 4 4. x = 21