How do you find all points that have an x -coordinate of –4 and whose distance from point (4, 2) is 10?

valtricotinevh 2022-07-15 Answered
How do you find all points that have an x -coordinate of –4 and whose distance from point (4, 2) is 10?
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Answers (1)

Quenchingof
Answered 2022-07-16 Author has 14 answers
We want D=10
Let ( x 1 , y 1 ) be ( 4 , 2 )
Let ( x 2 , y 2 ) be ( - 4 , y 2 )
10 = ( 4 - ( - 4 ) ) 2 + ( 2 - y 2 ) 2 2
Squaring both sides we have
( 10 = ( 4 - ( - 4 ) ) 2 + ( 2 - y 2 ) 2 2 ) 2
100 = ( 8 2 ) + ( 2 - y 2 ) 2
100 = 64 + ( 4 - 4 y 2 + ( y 2 ) 2 )
( y 2 ) 2 + 4 y 2 + 4 = 36
( y 2 ) 2 + 4 y 2 - 32 = 0
( y 2 + 8 ) ( y 2 - 4 ) = 0
y_2 = -8; 4

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