Let point (x, y) be any point on the graph, than the distance between (x, y) and the focus (3, 6) is sqrt((x - 3)^2 + (y - 6)^2) and the distance between (x, y) and the directrix, y = 4 is |y - 4|
Thus sqrt((x - 3)^2 + (y - 6)^2) = |y - 4|
(x - 3)^2 + (y - 6)^2 = (y - 4)^2
x^2 - 6x + 9 + y^2 - 12y + 36 = y^2 - 8y + 16
x^2 - 6x + 29 = -8y + 12y = 4y
(x - 3)^2 + 20 = 4y
y = 1/4(x - 3)^2 + 5
Required answer is f(x) = one fourth (x - 3)^2 + 5
Answer:
72 cans
Step-by-step explanation:
step 1
Find the number of people
we know that
She ordered 1 pizza for every 4 people
using proportion
Find out the number of people for 6 pizzas
step 2
Find the number of cans ordered
we know that
Charissa ordered 3 cans of lemonade for each person
so
using proportion
Find out the number of cans of lemonade she ordered for 24 people
Answer:
x = -8
Step-by-step explanation:
Solve for x by getting rid of the fraction.
414/(x-10) = -23
414 = -23(x-10)
414 = -23x + 230
184 = -23x
-8 = x
Step-by-step explanation:
a. 6 £/hr
b. 6.8 £/hr.....is this right?
The coefficient of X is -2