A rope is swinging In such a way that the length of the arc traced by a knot at its bottom end is
1 answer:
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Answer:
(1, 2) and (- 1, - 2)
Step-by-step explanation:
Given the 2 equations
x² + y² = 5 → (1)
y = 2x → (2)
Substitute y = 2x into (1)
x² + (2x)² = 5, that is
x² + 4x² = 5
5x² = 5 ( divide both sides by 5 )
x² = 1 ( take the square root of both sides )
x = ± = ± 1
Substitute these values into (2) for corresponding values of y
x = 1 → y = 2(1) = 2 ⇒ (1, 2)
x = - 1 → y = 2(- 1) = - 2 ⇒ (- 1, - 2)
