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Please someone help

The point (0, 5) is the midpoint between (-18, -10) and what other point?

A. (18, 20)
B. (18, 15)
C. (20, 18)
D. (20, 20)

User Katrina
by
8.5k points

2 Answers

11 votes

Answer:

(x₂, y₂) = (18, 20)

Explanation:

I hope this helps (✿◡‿◡)

User Warren Benedetto
by
7.7k points
6 votes

Answer:

The coordinates of the other point are:

(x₂, y₂) = (18, 20)

Hence, option A is correct.

Explanation:

Given

  • The midpoint (x, y) = (0, 5)
  • The first point (x₁, y₁) = (-18, -10)

To determine

  • The second point (x₂, y₂) = ?

Using the Mid-point formula between (x₁, y₁) and (x₂, y₂)


\left(x,\:y\right)=\:\left((x_2+x_1)/(2),\:\:(y_2+y_1)/(2)\right)

Here:

(x, y) is the midpoint between (x₁, y₁) and (x₂, y₂)

substituting (x, y) = (0, 5) and (x₁, y₁) = (-18, -10) in the formula


\left(0,\:5\right)=\:\left((x_2+\left(-18\right))/(2),\:\:(y_2+\left(-10\right))/(2)\right)

equating


0=(x_2+\left(-18\right))/(2)


x_2-18=0

Add 18 to both sides


x_2-18+18=0+18


x_2=18

also


5=(y_2+\left(-10\right))/(2)


10=y_2+\left(-10\right)


10=y_2-10


10+10=y_2


10+10=y_2


y_2=20

Therefore, the coordinates of the other point are:

(x₂, y₂) = (18, 20)

Hence, option A is correct.

User Jim Andreas
by
8.0k points

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