Answer:
D
Step-by-step explanation:
From any point (x, y) on the parabola the focus and directrix are equidistant
Using the distance formula
= | y + 1 |
Squaring both sides
(x + 5)² + (y - 5)² = (y + 1)^2 , that is
(y + 1)² = (x + 5)² + (y - 5)² ← subtract (y - 5)² from both sides
(y + 1)² - (y - 5)² = (x + 5)² ← expand left side and simplify
y² + 2y + 1 - y² + 10y - 25 = (x + 5)²
12y - 24 = (x + 5)² ← factor left side
12(y - 2) = (x + 5)² ← divide both sides by 12
y - 2 = (x + 5)² ← add 2 to both sides
y = (x + 5)² + 2
or
f(x) = (x + 5)² + 2 → D
To find the volume of a sphere, you will use the formula for finding volume of a sphere. You will use the diameter to find the radius. r = d/2, so the radius is 5 in
V = 4/3 x pi x r^3
4/3 x 3.14 x 5^3
V = 523.6 cubic inches
The volume of this sphere is approximately 523.6 cubic inches.
Answer:
y = 20.
Step-by-step explanation:
Distribute:
Add 18 to both sides:
Solve for y:
Answer:
Brand 1
Step-by-step explanation:
4 Oz of coffee is 1.15
8 Oz of coffee is another 1.15 added, because it is another 4 Oz of coffee
12 Oz is another 1.15 added, it's another 4 Oz of coffee
And so on.
Answer: It should be 11
Step-by-step explanation:
11 + 3 = 14 14 is three more than 11 and when you add 5 you get 19