1. calculate the distance of xy given points x and y below.
x(-7, 10) and y(3, 4)

Question

Accepted Answer

# Explanation:
## Step1: Identify the coordinates
Let $X(x_1,y_1)=(-7,10)$ and $Y(x_2,y_2)=(3,4)$
## Step2: Use the distance formula
The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$
Substitute the values:
$$
\begin{align*}
d&=\sqrt{(3-(-7))^2+(4 - 10)^2}\
&=\sqrt{(3 + 7)^2+(4-10)^2}\
&=\sqrt{(10)^2+(-6)^2}\
&=\sqrt{100 + 36}\
&=\sqrt{136}\
&=2\sqrt{34}\approx 11.66
\end{align*}
$$

# Answer:
The distance of $XY$ is $2\sqrt{34}\approx11.66$

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QUESTION IMAGE

Question

Explanation:

Step1: Identify the coordinates

Step2: Use the distance formula

Answer: