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2 years ago

12

A rectangle is drawn on a coordinate plane. Three vertices of the rectangle are points A(−7,2) , B(3,2) , and D(−7,−2) . Point C

is the fourth vertex of the rectangle.
What is the distance from point B to point C?

Enter your answer in the box.

1 answer:

Alexandra [31]2 years ago

8 0

the distance from point b to c is 4 down the y-axis

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2 years ago

Read 2 more answers

It always confuses me when they make me do the baby steps

fgiga [73]

A. Alright, we want to multiply one equation by a constant to make it cancel out with the second. Since the first equation has a "blank" y, let's multiply the first equation by <em>2</em>.

3x-y=0 → 2(3x-y=0) = 6x - 2y = 0

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The answer for this part would be: 6x - 2y = 0 and 5x + 2y = 22

B. So now we combine them:

6x - 2y = 0

+ + +

5x + 2y = 22

= = =

11x + 0 = 22 ← The answer

C. Now that we have the equation 11x = 22, we solve for x

11x = 22 ← Divide both sides by 11

x = 2 ← The answer

D. Now that we have x=2, we plug that back in to 5x+2y=22 and solve for y:

5(2)+2y = 22

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y = 6

<u>Therefore, the solution to this problem is x = 2 and y = 6</u>

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3 years ago