find k is distance between A(k,-8) and B(-7,-3) is 13
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Answer:
k=-20 or 4
Step-by-step explanation:
(k+8)²+(-8+3)²=13²
k²+64+16k=169-25=144
k²+16k-144+64=0
k²+16k-80=0
k²+20k-4k-80=0
k(k+20)-4(k+20)=0
(k+20)(k-4)=0
k+20=0 or k-4=0
⇒ k=-20 or k=4
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