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lesya692 [45]
2 years ago
7

Given the points (2,k) and (0,−6), for which values of k would the distance between the points be 5–√ ?

Mathematics
1 answer:
natka813 [3]2 years ago
8 0

The value of k are -5 and -7 if the distance between points (2,k) and (0,−6) is √5

<h3>What is a distance formula?</h3>

It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.

The distance formula can be given as:

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

The question is:

Given the points (2,k) and (0,−6), for which values of k would the distance between the points be √5

\rm \sqrt{5}=\sqrt{(0-2)^2+(-6-k)^2}

5 = 4 + (6 + k)²

After solving:

\rm 4+\left(6+k\right)^2-4=5-4

(6 + k)² = 1

k = -5 or -7

Thus, the value of k are -5 and -7 if the distance between points (2,k) and (0,−6) is √5

Learn more about the distance formula here:

brainly.com/question/18296211

#SPJ1

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solve for  a single variable
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