the distance between point (p,-5) and (2,7) is 13 unit then the value of is
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AB=sq.root (x2-x2)^2 + (y2-y1)^2
5=sq.root (2-p)^2 + (7+5)^2
square both the side
5^2=(2-p)^2 + (7+5)^2
25=2^2-2p+p^2 + 12^2
25=4-2p+p^2 +24
25=26-2p+p^2
-1=-2p+p^2
0=p^2-2p+1
0=p^2-1p-1p+1
0=p (p-1) -1 (p-1)
0=(p-1)(p-1)
p-1=0
p=1
5=sq.root (2-p)^2 + (7+5)^2
square both the side
5^2=(2-p)^2 + (7+5)^2
25=2^2-2p+p^2 + 12^2
25=4-2p+p^2 +24
25=26-2p+p^2
-1=-2p+p^2
0=p^2-2p+1
0=p^2-1p-1p+1
0=p (p-1) -1 (p-1)
0=(p-1)(p-1)
p-1=0
p=1
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17
Answer:
The attachment as the steps.
The value of p is -3, 7
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