Question

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)

Answer 1

(x₂, y₂) = (18, 20)

Explanation:

I hope this helps (✿◡‿◡)

Answer 2

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.