I saw the image of this problem.
For the quadrilateral to be parallelogram, MP = PO
MP = y + 25
PO = 5y + 29
y + 25 = 5y + 29
y - 5y = 29 - 25
-4y = 4
y = 4/-4
y = -1
MO = MP + OP
MO = y + 25 + 5y + 29
MO = -1 + 25 + 5(-1) + 29
MO = -1 + 25 - 5 + 29
MO = -6 + 54
MO = 48 Choice B.
Pretty fast consider 115ft wasn't enough to avoid an accident..
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
#LearnwithBrainly
