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The distance between the points (−3, −4) and (q, 5) is 15. find the possible values of q.

User Moore
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Final answer:

To find the possible values of q in the distance formula, we can simplify the equation and solve for q.

Step-by-step explanation:

To find the possible values of q, we can use the distance formula to calculate the distance between the two points given.

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

Given points: (-3, -4) and (q, 5)

Distance: sqrt((-3 - q)^2 + (5 - (-4))^2) = 15

Simplifying the equation and solving for q, we get:

(-3 - q)^2 + 81 = 225

(-3 - q)^2 = 144

-3 - q = ±12

q = -3 + 12 or q = -3 - 12

q = 9 or q = -15

Therefore, the possible values of q are 9 and -15.

User Casaout
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