The possible coordinates of the point A is (-3, -5) and (-3, 7)
How the coordinates of point A can be calculated?
The given parameters are:
- Point B = (5, 1)
- Distance between the two points, D = 10 units
- x-coordinate of point A = −3 i.e. A = (-3, y)
The distance between any two points is calculated as
D = √[(x₁ - x₂)² + (y₁ - y₂)²]
Substitute the known values in the above equation
So, we have
10 = √[(-3 - 5)² + (y - 1)²]
Evaluate
100 = 64 + (y - 1)²
Evaluate the like terms
(y - 1)² = 36
Take the square roots
y - 1 = ±6
This gives
y = 1 ± 6
So, we have
y = -5 and 7
Hence, the value of point A are (-3, -5) and (-3, 7)
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