<u>Answer:</u>
D) 6x^2 - 8y^2 = 50
-6x^2 - 2y^2 = 11
<u>Step-by-step explanation:</u>
We are given the following two expressions:
and
Now if we look at the option D) and
, we can observe that the earlier part in the given expression is just a simplification of 6x^2 - 8y^2 = 50.
and the later part is already the same.
Therefore, the correct answer option is D) 6x^2 - 8y^2 = 50
-6x^2 - 2y^2 = 11.
13. The equation of the given function is
14. The equation of the cotangent function is
Step-by-step explanation:
Let us revise the transformation of the trigonometric function:
y = a f[b(x + c)] + d, where
13.
∵ y = a sin( ), where a is the amplitude
and T is the wave in seconds
∵ The amplitude is 4
∴ a = 4
∵ The period is 4π
∴ T = 4π
From the rules above
∵ The period is 2π/b
∴ T =
∴ 4π =
- By using cross multiplication
∴ 4π(b) = 2π
- Divide both sides by 4π
∴ b =
∵ The phase shift is
∵ c is the phase shift
∴ c =
∵ The vertical shift is -2
∵ d is the vertical shift
∴ d = -2
Now substitutes the values of a, b, c and d in the form of the equation below
∵ y = a sin[b(t + c)] + d
∴
You can write it as
The equation of the given function is
14.
y = cot[b(t + c)] + d
∵ The period = π
∵ The period is 2π/b
- Equate π by 2π/b to find b
∴ π =
- By using cross multiplication
∴ π(b) = 2π
- Divide both sides by π
∴ b = 2
∵ The phase shift is
∵ c is the phase shift
∴ c =
∵ The vertical shift is 2
∵ d is the vertical shift
∴ d = 2
Now substitutes the values of b, c and d in the form of the equation below
∵ y = cot[b(t + c)] + d
∴
The equation of the cotangent function is
Learn more:
You can learn more about trigonometry function in brainly.com/question/3568205
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