Answer:
c
Step-by-step explanation:
Answer:
y=1/8(-x^2+4x+44
Step-by-step explanation:
In this question the given focus is (2,4) and a directrix of y = 8 and we have to derive the equation of the parabola.
Let (x,y) is a point on the given parabola.Then the distance between the point (x,y) to (2,4) and the distance from (x,y) to diractrix will be same.
Distance between (x,y) and (2,4)
= √(x-2)²+(y-4)²
And the distance between (x,y) and directrix y=8
= (y-8)
Now √(x-2)²+(y-4)² = (y-8)
(x-2)²+(y-4)² = (y-8)²
x²+4-4x+y²+16-8y = y²+64-16y
x²+20+y²-4x-8y = y²-16y+64
x²+20-4x-8y+16y-64=0
x²+8y-4x-44 = 0
8y = -x²+4x+44
Answer:
3a²b
Step-by-step explanation:
The product of two algebraic
terms is 6a3b2. If one of the terms is
2ab, find the other term.
Let us represent
First term = a
Other term = b
a × b = 6a³b²
a = 2ab
b = ?
b = 6a³b²/a
b = 6a³b²/2ab
b = 6a³b²/2a¹b¹
b = (6 ÷ 2) × a^3 - 1 × b ^2 - 1
b = 3a²b
Therefore, the other term = 3a²b
The antiderivate of 5x is 5x^2 / 2 .
Answer: 8.55 feet
Step-by-step explanation:
We should equal the average depth to 1, so if it raises 3%, it raises 0.03. Simply add the original (1) plus what it rose (0.03) and multiply the original by that, so 8.3 × 1.03 = new depth. The result is 8.549 feets.