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Answer:
See Discussion below
Discussion:
A function f is even if f(-x) = f(x)
f(x) f(-x) Are they equal?
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-x^8 + 2x^6-5x -(-x)^8 + 2(-x)^6 + 5x No
3 abs(x) - 4 3 abs(-x) -4 Yes
log5 x^2 log5 (-x)^2 Yes
(6x)^ (1/7) (-6x)^(1/7) No
e^(x^2-x) e^( (-x)^2+x) No
(x^8 +5x^2)^(-1) ( (-x)^8 + 5 (-x)^2) ^(-1) Yes
Answers with Yes, above are even functions.
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MrB
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Answer:
The equation of the circle is (x - 2)² + (y + 5)² = 144 ⇒ A
Step-by-step explanation:
The form of the equation of the circle is (x - h)² + (y - k)² = r², where
- r is the radius of the circle
- h, k are the coordinates of the center of the circle
Let us solve the question
∵ The center of the circle is at (2, -5)
→ From the rule above
∴ h = 2 and k = -5
∵ The radius of the circle is 12
∴ r = 12
→ Substitute the values of r, h, and k in the form of the equation above
∵ (x - 2)² + (y - -5)² = (12)²
∴ (x - 2)² + (y + 5)² = 144
∴ The equation of the circle is (x - 2)² + (y + 5)² = 144