find the distance between the points (-8, 10) and (4, -6).
round decimals to the nearest tenth.
22.0
18.0
20.0
16.0

Question

Accepted Answer

# Explanation:
## Step1: Identify the coordinates
Let $(x_1,y_1)=(-8,10)$ and $(x_2,y_2)=(4,-6)$
## Step2: Use the distance formula
The distance formula is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$
Substitute the values:
$$
\begin{align*}
d&=\sqrt{(4-(-8))^2+(-6 - 10)^2}\
&=\sqrt{(4 + 8)^2+(-16)^2}\
&=\sqrt{12^2+(-16)^2}\
&=\sqrt{144 + 256}\
&=\sqrt{400}\
&=20
\end{align*}
$$

# Answer:
20.0

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Step1: Identify the coordinates

Step2: Use the distance formula

Answer: