Step-by-step explanation:
Let the points on the y−axis be (0,y).
And the distance from the point (8,8)=10 units
We know that the distance formula
=
(x
2
−x
1
)
+(y
−y
10=
(8−0)
+(8−y)
100=64+(8−y)
64+y
−16y=36
y
−16y+28=0
(y−14)(y−2)=0
y=2,14
Hence, the points are (0,2) and (0,14).
Hence, this is the answer.
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Answers & Comments
Step-by-step explanation:
Let the points on the y−axis be (0,y).
And the distance from the point (8,8)=10 units
We know that the distance formula
=
(x
2
−x
1
)
2
+(y
2
−y
1
)
2
10=
(8−0)
2
+(8−y)
2
100=64+(8−y)
2
64+y
2
−16y=36
y
2
−16y+28=0
(y−14)(y−2)=0
y=2,14
Hence, the points are (0,2) and (0,14).
Hence, this is the answer.