Question

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

1. a(-10, -5), b(9, 14) 17. a(7, -4), b(1, 6)

16.
17.
m (1 3/4, 2 4/8) m (6, 1) m (0, 2.5) m (1.1, - 0.1) m (3, 1) m (2.5, 10)
m (5, - 6) b(3, 8) b(-3, 2) b(7, 14) b(6, 0) 4 5 5.3 5.7 6.7
7.2 7.6 8 8.5 9.2 11.7 12 14 26.9

Explanation:

Step1: Recall distance formula

The distance $d$ between points $(x_1,y_1)$ and $(x_2,y_2)$ is $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Step2: Solve for problem 16

Substitute $A(-10,-5), B(9,14)$:
$d=\sqrt{(9-(-10))^2+(14-(-5))^2}=\sqrt{(19)^2+(19)^2}=\sqrt{361+361}=\sqrt{722}\approx26.9$

Step3: Solve for problem 17

Substitute $A(7,-4), B(1,6)$:
$d=\sqrt{(1-7)^2+(6-(-4))^2}=\sqrt{(-6)^2+(10)^2}=\sqrt{36+100}=\sqrt{136}\approx11.7$

Answer:

1. 26.9
2. 11.7