The coordinates of the focus of the parabola are (4 , 0)
Step-by-step explanation:
The standard form of the equation of the parabola is
(x - h)² = 4p(y - k), where
- The vertex of the parabola is (h , k)
- The focus is (h , k + p)
- The directrix is at y = k - p
∵ The equation of the parabola is 12(y + 3) = (x - 4)²
- The form of the equation is (x - h)² = 4p(y - k), compare
between them to find h, k and p
∴ h = 4
∵ - k = 3
- Multiply both sides by -1
∴ k = -3
∵ 4p = 12
- Divide both sides by 4
∴ p = 3
∵ The coordinates of the focus are (h , k + p)
∵ h = 4 , k = -3 , p = 3
∴ k + p = -3 + 3
∴ k + p = 0
∴ The focus is (4 , 0)
The coordinates of the focus of the parabola are (4 , 0)
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I believe the answer is 25% because 6/24 is 1/4 and 1/4= 25%
Answer:
x - 1.7 = 14
Step-by-step explanation:
Sarah thought of a number: x
Then she subtracted 1.7 FROM it: x - 1.7
and gets an answer if 14: x - 1.7 = 14
so the equation is x - 1.7 = 14
Y = (3/4)x + 1<span>y = 0.75x + 1 is also an acceptable answer</span>
Answer:
<h2>(f-g)(x) = x² - 3x - 24 </h2>
Step-by-step explanation:
f(x) = x² - 2x - 24
g(x) = x + 4
To find (f-g)(x) subtract g(x) from f(x)
That's
(f-g)(x) = x² - 2x - 24 - ( x + 4)
(f-g)(x) = x² - 2x - 24 - x - 4
Group like terms
We have
(f-g)(x) = x² - 2x - x - 24 - 4
Simplify
We have the final answer as
<h3>(f-g)(x) = x² - 3x - 28</h3>
Hope this helps you
