Question

if the distance between the points p(2,-3) and Q(x,-9) is √85 units then find the value of x​

Answer 1

Step-by-step explanation:

Distance = √(x2 - x1)^2 + (y2 - y1)^2

D = √85

p(2,-3) and Q(x,-9)

√85 = √(x - 2)^2 + (-9 + -3)

(a + b)^2 = a^2 + 2ab + b^2

√85 = √x^2 - 4x + 4 + -12          

square both sides,

85 = x^2 - 4x - 8

x^2 - 4x - 93 = 0

Solve the quadratic equation the reach your answer.

Answer 2

Answer:

hope it helps

Step-by-step explanation:

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