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Question 9(Multiple Choice Worth 2 points)

(Pythagorean Theorem and the Coordinate Plane MC)

Determine the distance between the points (-3, -6) and (5,0).

©22 units

10 units

8 units

05 units

Sagot :

Therefore, the distance between the points (-3, -6) and (5,0) is 10 units. This is option A.

What is the distance formula?

A mathematical procedure called the distance formula is used to calculate the separation between two locations on a plane. The Pythagorean theorem, which asserts that the square of a distance between two locations is equal to the sum of the squares of a difference in their coordinates, is where the formula is derived from.

To utilise the distance formula, you must first have the coordinates of the two places. These coordinates are usually expressed as (x1, y1) and (x2, y2), where x1 and y1 stand for the coordinates of the first point and x2 and y2 stand for the coordinates of the second point, respectively.

d = √((x2 - x1)^2 + (y2 - y1)^2)

How to solve?

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

d = sqrt((5 - (-3))^2 + (0 - (-6))^2)

 = sqrt((8)^2 + (6)^2)

 = sqrt(64 + 36)

 = sqrt(100)

 = 10

To learn more about the distance formula, visit:

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