find the point on the y-axis that is equidistant from 5,-2 and -3,2
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formula =√{(x2-x1)square + (y2-y1)square}
according to question
when the point is on y axis then x will be zero
x=0
y=0
now there are two points and distance between 0,y and 5,-2 = first
0,y and -3,2 = second
using distance formula
I am doing here sort
[ 25+4+(y)square+4y ] is of first distance and second = 9+4+(y)square-4y
putting both in =
25+4+(y)square+4y = 9+4+(y)square-4y
29+4y=13-4y
29-13=-4y-4y
16=-8y
y=16/-8= -2
Ans= x =0 and y = -2
(one problem you may face (-2-y)square =2+y whole square)
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