Co-ordinate of point P on a number line is -7 then find the co-ordinate of point on the number line which are at a distance of 8 unit from point P
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Answered by
18
Answer:
1 & -15
Step-by-step explanation:
number line is x-axis
Point P on number line -7 is actually (-7, 0)
to find coordinates which are at a distance of 8 units on number line itself.
only x co-ordinate will change and y will remain same.
let's a new point would be (x,0)
distance between (x,0) & (-7,0) = 8
Distance= √(x-(-7))² + (0-0)²
= 8 =√(x+7)²
squaring both sides
=(x+7)² = 64
taking square root both sides
= x+7 = +8
=x+7 =8 or x+7 = -8
= x = 1 or x = 15
show coordinates of point of number line which are at a distance of 8 units from point P are 1 & -15
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