Question

Find the distance between (-8, -3) and (-2,-5). Round your answer to the nearest hundredth, if necessary.

(1 point)
units

Answer 1

To find the distance between two points, use the distance formula and plug in the coordinates.

Step-by-step explanation:

To find the distance between the two points (-8, -3) and (-2, -5), you can use the distance formula. The distance formula is:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Plugging in the values for the x and y coordinates, you get:

d = sqrt((-2 - (-8))^2 + (-5 - (-3))^2)

Simplifying the equation gives:

d = sqrt((-2 + 8)^2 + (-5 + 3)^2)

Finally, evaluating the equation:

d = sqrt((6)^2 + (-2)^2) = sqrt(36 + 4) = sqrt(40)

Rounding to the nearest hundredth, the distance is approximately 6.32 units.

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