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Find the distance between each pair coordinates. Select the correct answer. (-8, -8), (4, 8)

User Kiafiore
by
7.1k points

2 Answers

4 votes

Answer:

Distance = 20 units

Explanation:

Points to remember

Distance formula

Length of a line segment with end points (x1, y1) and (x2, y2) is given by,

Distance = √[(x2 - x1)² + (y2 - y1)²]

To find the distance between give 2 points

Here (x1, y1) = (-8, -8) and (x2, y2) = (4, 8)

Distance = √[(x2 - x1)² + (y2 - y1)²]

= √[(4 - -8)² + (8 - -8)²]

= √[(4 + 8)² + (8 + 8)²]

= √[12² + 16²] = √[144 + 256)

= √400 = 20

Therefore distance = 20 units

User Russell Gallop
by
7.0k points
5 votes

ANSWER

20 units.

EXPLANATION

We want to find the distance between (-8,-8) and (4,8).

We use the distance formula:


d = \sqrt{ {(x_2-x_1)}^(2) + {(y_2-y_1)}^(2) }

We substitute the points into the formula to get:


d = \sqrt{ {(4 - - 8)}^(2) + {(8 - - 8)}^(2) }

We simplify to get;


d = \sqrt{ {(12)}^(2) + {(16)}^(2) }


d = √(144+ 256)


d = √(400)


d = 20

The distance between the two points is 20 units.

User Edward Chiang
by
6.6k points