A is at (-1, -2) and B is at (-10, -1) .p is at (x, -6) and PA = PB find the value of x?
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Step-by-step explanation:
given A(-1.-2),B(-10,-1) p(x,-6).
=. AP=PB. (Given)
so, distance of Ap=distance ofPB √(x2-x1)²+(y2-y1)²=√(x2-x1)²+(y2+y1)²
putting value
(x+1)²+(-6+2)²=(x+10)²+(-6+1)²
x²+2x+1+16=x²+100 +20x+25
2x+17=20x+125
2x-20x=125-17
-18x=108
-x=108/18
so, value of x is -6
hope it's helpful
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