find the length of $ \overline { m b } $.

$ m b = \sqrt { ( x _ { 2 } - x _ { 1 } ) ^ { 2 } + ( y _ { 2 } - y _ { 1 } ) ^ { 2 } } $

14

5

25

$ \sqrt { 13 } $

Question

find the length of $ \overline { m b } $.

$ m b = \sqrt { ( x _ { 2 } - x _ { 1 } ) ^ { 2 } + ( y _ { 2 } - y _ { 1 } ) ^ { 2 } } $

14

5

25

$ \sqrt { 13 } $

Accepted Answer

# Explanation:
## Step1: Identify the coordinates
Given $ M(4,3) $ and $ B(8,0) $. Here $ x_1 = 4,y_1 = 3,x_2=8,y_2 = 0 $.
## Step2: Substitute into the distance formula
$$
\begin{align*}
MB&=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\
&=\sqrt{(8 - 4)^2+(0 - 3)^2}\
&=\sqrt{4^2+(- 3)^2}\
&=\sqrt{16 + 9}\
&=\sqrt{25}\
&=5
\end{align*}
$$

# Answer:
5

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QUESTION IMAGE

Question

Explanation:

Step1: Identify the coordinates

Step2: Substitute into the distance formula

Answer: