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chubhunter [2.5K]

3 years ago

6

What is the sum of -4/7 and 6/7 A) -2/7 B) 2/7 C) -10/7 D) 10/7

1 answer:

kari74 [83]3 years ago

3 0

2/7. just add the -4 and 6 together and use the 7 as the denominator

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4 0

3 years ago

5) Find the area of a rectangle<br> with points at (-8,5), (2,5),<br> (2,-3) and (-8,-3).

Lady bird [3.3K]

Answer:

80 units²

Step-by-step explanation:

Given <u>vertices</u> of a rectangle:

A = (-8, 5)
B = (2, 5)
C = (2, -3)
D = (-8, -3)

As points A and D share the <u>same x-coordinate</u>, and points B and C share the <u>same x-coordinate</u>, the difference between the different <u>x-coordinates</u> is the length of the rectangle:

$\begin{aligned}\implies \textsf{Length} & = x_B-x_A\\& = 2-(-8)\\& = 2+8\\& = 10\; \sf units\end{aligned}$

As points A and B share the <u>same y-coordinate</u>, and points C and D share the <u>same y-coordinate</u>, the difference between the different <u>y-coordinates</u> is the width of the rectangle:

$\begin{aligned}\implies \textsf{Width} & = y_A-y_D\\& = 5-(-3)\\& = 5+3\\& = 8\; \sf units\end{aligned}$

Therefore:

$\begin{aligned}\textsf{Area of a rectangle} & = \sf width \times length\\&=8 \times 10\\&=80 \sf \; units^2\end{aligned}$

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2 years ago

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