Question

find the distance between the two points. round your answer to the nearest tenth.

1. a(-3, 0), b(2, 0) 11. a(0, 3), b(6, 0)

Explanation:

Step1: Apply distance formula for Q10

The distance formula between $(x_1,y_1)$ and $(x_2,y_2)$ is $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$.
For $A(-3,0), B(2,0)$:
$d=\sqrt{(2-(-3))^2+(0-0)^2}=\sqrt{(5)^2+0}=\sqrt{25}$

Step2: Calculate distance for Q10

$\sqrt{25}=5$

Step3: Apply distance formula for Q11

For $A(0,3), B(6,0)$:
$d=\sqrt{(6-0)^2+(0-3)^2}=\sqrt{6^2+(-3)^2}=\sqrt{36+9}$

Step4: Calculate distance for Q11

$\sqrt{45}\approx6.7$

Answer:

1. 5
2. 6.7