Question

Find the distance between the pair of points (- 4,- 4) and (4, -3). If necessary, express the answer in simplified radical form and

then round to twO decimal places.
The distance between the given points is |units.
(Simplify your answer. Type an exact answer, using radicals as needed.)

Answer 1

To find the distance between two points in a plane, use the distance formula. For the given points (-4, -4) and (4, -3), the distance is approximately 8.06 units.

Step-by-step explanation:

To find the distance between two points in a plane, we can use the distance formula:

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

For the given points (-4, -4) and (4, -3), we can substitute these values into the formula:

d = sqrt((4 - (-4))^2 + (-3 - (-4))^2) = sqrt(64 + 1) = sqrt(65)

Therefore, the distance between the two points is √65 units, rounded to two decimal places, approximately 8.06 units.

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