Question

The distance between the points (4,-8)and(k,0)is 10.Find k

Answer 1

Answer:

k=10

here is ur answer..

Answer 2

Answer:

Step-by-step explanation:

BY USING DISTANCE FORMULA

$= \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2\,}$

$=\sqrt{(K-4)^{2}+(0+8)^{2} }$ = 10

$\sqrt{K^{2} +16-8K+64}=10\\\\SQUARING BOTH SIDES$

$K^{2} +16-8K+64}=100\\\\K^{2} -8K+80-100=0\\\\K^{2} -8K-20=0$

$K^{2} -10K+2K-20=0\\\\K(K-10)+2(K-10)=0\\\\(K+2)(K-10)=0\\\\K=-2,K=10$

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