Question

Find the distance between the two points. round Your solution to w decimal points

Answer 1

`AB=\sqrt[]{90}=9.48`

Step-by-step explanation

Step 1

the distance between two points is given by

`\begin{gathered} \text{distance AB=}\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2} \\ \text{where } \\ (x_1,y_1)^{}and(x_2,y_2)\text{ are the coordinates of the points A and B} \end{gathered}`

Step 2

look in the graph the coordinate of A and B

Let

A(-5,-2)

B(4,1)

Step 3

replace,

`\begin{gathered} \text{distance AB=}\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2} \\ \text{ AB=}\sqrt[]{(4-(-5))^2+(1-(-2))^2} \\ \text{AB=}\sqrt[]{(9)^2+(3)^2} \\ \text{AB=}\sqrt[]{90} \\ \end{gathered}`

rouded 9.48

I hope this helps you