Question

PLEASE HELP

Answer 1

Answer: Choice B

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Explanation:

Let's say we had segment PQ. So the endpoints are P and Q. Let M be the midpoint of segment PQ.

Furthermore, let P have coordinates (x+6, y/3). Dividing by 3 is the same as multiplying by 1/3. So (1/3)y is the same as y/3.

Let Q have the coordinates (r,s). The goal is to express r and s in terms of x and y, as the answer choices indicate.

The midpoint M is located at (2,-5)

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For now, let's focus on the x coordinates of each point

• x coordinate of P is x+6
• x coordinate of Q is r
• x coordinate of M is 2

If we average the x coordinates of P and Q, we'll get the x coordinate of M

So we add up (x+6) and r, then divide by 2, and we should get 2 as a result

( (x coord of P) + (x coord of Q) )/2 = x coord of M

( (x+6) + (r) )/2 = 2

(x+6+r)/2 = 2

Let's solve for r

(x+6+r)/2 = 2

x+6+r = 2*2

x+6+r = 4

r = 4-x-6

r = -2-x

The x coordinate of point Q is -2-x

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We'll follow the same basic idea for the y coordinates

• The y coordinate of P is y/3
• The y coordinate of Q is s
• The y coordinate of M is -5

We then get

( (y coord of P) + (y coord of Q) )/2 = y coord of M

( (y/3) + (s) )/2 = -5

(y/3) + s = -5*2

(y/3) + s = -10

Now solve for s

(y/3) + s = -10

s = -10-(y/3)

This is the y coordinate of point Q.

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We found

• x coordinate of Q is -2-x
• y coordinate of Q is -10-(y/3)

Point Q is therefore located at (-2-x,  -10-(y/3) )

This points to choice B as the final answer.

Answer 2

Answer:

B I think

Step-by-step explanation: