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3 years ago

Given points G( 2, 10) and H ( -6, -10), find the coordinates of the midpoint of line GH.

Mathematics

1 answer:

sladkih [1.3K]3 years ago

4 0

(-2, 0)

You can find this by getting the average of the x's and the average of the y's.

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The length of a rectangle is twice its width. Find its area, if its perimeter is 7 1/3 cm The area of the rectangle is _sq. cm.

Harman [31]

Answer:

The area of rectangle is $2\frac{80}{81}\ cm^2$

Step-by-step explanation:

we know that

The perimeter of a rectangle is equal to

$P=2(L+W)$

we have

$P=7\frac{1}{3}\ cm=7+\frac{1}{3}=\frac{22}{3}\ cm$

$\frac{22}{3}=2(L+W)$

$\frac{11}{3}=(L+W)$ ----> equation A

Remember that

The length of a rectangle is twice its width.

$L=2W$ ----> equation B

substitute equation B in equation A

$\frac{11}{3}=(2W+W)$

solve for W

$W=\frac{11}{9}\ cm$

Find the value of L

$L=2(\frac{11}{9})$

$L=\frac{22}{9}\ cm$

<em>Find the area of rectangle</em>

$A=LW$

substitute the values

$A=(\frac{22}{9})(\frac{11}{9})$

$A=\frac{242}{81}\ cm^2$

Convert to mixed number

$\frac{242}{81}\ cm^2=\frac{162}{81}+\frac{80}{81}=2\frac{80}{81}\ cm^2$

7 0

2 years ago

A watering can dispenses water at a rate of 0.40 gallon per minute. the original volume of water in the can was 10 gallons. whic

kondor19780726 [428]

The last one. because you are starting 1sec after the can has begun to pour. So, (1, 9.60) and the subsequent ordered pairs are correct

8 0

3 years ago

Read 2 more answers

AC is diagonal of square ABCD, and the length of AC is 4. What is the area of the square?

dybincka [34]

Option d.
as we know the corner of a square is always 90°. So we can apply that (side of the square)^2+(side of the square)^2 = (diagonal of the side)^2

(side of the square)^2+(side of the square)^2 = 16
16/2=8
8=(side of the square)^2
side of square= squareroot of 8
area of square= squareroot of 8^2=8
hence answer is 8

8 0

2 years ago

Draw a graph of 2x - 3y = 6

dolphi86 [110]

Answer:

Slope: $\frac{2}{3}$