Co-ordinate of point P on a number line is - 7. Find the co-ordinates of points on thenumber line which are at a distance of 8 units from point P.
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Answers
Hi beautiful
Here is ur answer
If you move along the number line
right at a distance of 8 units from P,
the coordinates of the point will be 1.
If you move along the number line
Left at a distance of 8 units from P,
the coordinates of the point will be
-15.
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amitnrw
Amitnrw Maths AryaBhatta
Answer:
1 & - 15
Step-by-step explanation:
Co-ordinate of point P on a number line is - 7. Find the co-ordinates of points on the number line which are at a distance of 8 units from point P.
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 & y will remain same
let say 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
Co-ordinates of point of number line which are at a distance of 8 units from point P are 1 & - 15
Step-by-step explanation:
disrance can never be negative so there are two points which are 8 units from -7
