Coordinate of point P on a number line is -3. Then find the coordinates. of points on the number line which are at a distance of 5 units from point P.
Answers
Answer:
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.
:
8 8 . . - . - -7. , . ∴ -7 > ∴ (, ) = -7 - ∴ 8 = -7 – ∴ = – 7 – 8 ∴ = -15 . - . - -7. , . ∴ > -7 ∴ (, ) = 7- (-7) ∴ 8 = + 7 ∴ 8 – 7 = 7 ∴ = 1 ∴ - 8 -15 1.
Given : coordinate of pt. P on a number line is '-3'.
To find : the co-ordinates of points on the number line which are at a distance of 5 units from P
Solution:
coordinate of pt. P on a number line is '-3'.
Let say point B is a distance of 5 units from P
Coordinate of B = x
=> | x - (-3)| = 5
=> | x + 3 | = 5
=> x + 3 = 5 or x + 3 = - 5
=> x = 2 or x = - 8
Hence co-ordinates of points on the number line which are at a distance of 5 units from P are -8 and 2
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