Question

find the distance between the points (1,8) and (10,3).
round decimals to the nearest tenth.
10.4
12.0
9.2
10.3
1 point
find the distance between the points (-3,2) and (-3,-6).
round decimals to the nearest tenth.
10.0
6.0
7.0
8.0

Explanation:

Step1: Use the distance formula

The distance formula between two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\).
For the points \((1,8)\) and \((10,3)\):
\(x_1 = 1,y_1 = 8,x_2 = 10,y_2 = 3\)
\(d=\sqrt{(10 - 1)^2+(3 - 8)^2}=\sqrt{9^2+(- 5)^2}=\sqrt{81 + 25}=\sqrt{106}\approx10.3\)

For the points \((-3,2)\) and \((-3,-6)\):
\(x_1=-3,y_1 = 2,x_2=-3,y_2=-6\)
\(d=\sqrt{(-3+3)^2+(-6 - 2)^2}=\sqrt{0+(-8)^2}=\sqrt{64}=8.0\)

Answer:

10.3, 8.0