You can use the trigonometric identity
.
The requirement that
eliminates -1/6 from being another solution.
PL= sqrt(4^2+12^2)=4sqrt(1+9)=4sqrt(10)
Using similarity gives that AM=4/3.
ML=40/3
[PLMU]=40/3 * 4 = 160/3 (53.33)
Or
PM= sqrt(4^2+16/9)=sqrt(160/9)=4sqrt(10)/3
4sqrt(10)*4sqrt(10)/3=160/3 or approximately 53.33
Answer:
The answer to the equation should be C
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)
Learn more:
You can learn more about the equation of the parabola in brainly.com/question/9390381
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