Find all points having an x coordinate of 1 whose distance from the point (-3,-1) is 5.

1 answer:

8 0

The distance between the points (x₁,y₁) and (x₂,y₂) is calculated through the equation,
d = sqrt ((x₂ - x₁)² + (y₂ - y₁)²)
From our given, we have the point (-3,-1) and (1,y). Substituting these to the equation,
5 = sqrt ((-3 - 1)² + (-1 - y)²)
Squaring both sides,
25 = (-3 - 1)² + (-1 - y)²

The values of y from the equation are 2 and -4.

The answers are therefore: (a) (1, 2) and (b) (1, -4).

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1 is a natural number, whole number, integer, rational number but not irrational number. On the other hand, $\sqrt{2}$ is an irrational number but none of the rest.