find if the length of the line segment is 5 cm and whose coordinates of one end is (2 ,2) and that of the other is (-1,m)
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Answer:
answer for the given problem is given
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5
Step-by-step explanation:
use distance formula
distance=√{(x2-x1)^2+(y2-y1)^2}
5=√{(2+1)^2+(2-m)^2}
5=√{(3)^2+(2-m)^2}
25=9+4-4m+m^2. (squaring
on both sides)
m^2-4m+13-25=0
m^2-4m-12=0
m^2-(6-2)m-12=0
m^2-6m+2m-12=0
m(m-6)+2(m-6)=0
(m+2)(m-6)=0
m= -2. or m=6
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