Question

Find the distance between the two points. Round to the nearest tenth if necessary.

(8, 8), (12, 11)

7
5
25
28

9.
Find the distance between the two points. Round to the nearest tenth if necessary.

(–2, –6), (3, 9)

15.8
250
3.2
20

Answer 1

1.

option B is correct

2.

Option A is correct.

Explanation:

Using distance formula:

`d = √((x_1-x_2)^2+(y_1-y_2)^2)`

1.

Given the points:

(8, 8) and (12, 11)

then;

`d = √((8-12)^2+(8-11)^2) = √((-4)^2+(-3)^2) = √(16+9) =√(25) = 5`

Therefore, the distance between the two points is, 5 units.

2.

Given the points:

(-2, -6) and (3, 9)

then;

`d = √((-2-3)^2+(-6-9)^2) = √((-5)^2+(-15)^2) = √(25+225) =√(250) = 15.8`

Therefore, the distance between the two points is, 15.8 units

Answer 2

The distance formula is expressed as square root of the square of the difference of y's and the square of the difference of x's.
In 1) d = square root of (11-8)^2 + (12-8)^2 d = 5
In 2) d = square root of (9+6)^2 + (3+2)^2 d = 5 square root of 10 d = 15.81