Answer:
A
Step-by-step explanation:
For any point (x, y ) on the parabola the focus and directrix are equidistant
Using the distance formula
= | y - 8 |
Squaring both sides gives
(x - 2)² + (y - 4)² = (y - 8)²
(x - 2)² + y² - 8y + 16 = y² - 16y + 64 ( rearrange and simplify )
(x - 2)² = - 8y + 48
8y = - (x - 2)² + 48
y = - 
(x - 2)² + 6 → A
Answer:
A. annually I believe it's the answer bc you add interest every year that way
Answer: $ 125987.80
Step-by-step explanation:
Given: The value, V(t) of $393,000 worth of assets after t years, that depreciate at 15% per year, is given by the formula
, here 
is the initial asset value and b is the multiplicative decay factor.
The exponential decay function is given by ;-
, where A is the initial value , x is the times period and b is the multiplicative decay factor.
where b = 1-r, r is the rate of decay.
Since r = 15%=0.15
Therefore, b = 1-0.15=0.85
Now ,for 7 years , the value of assets is given by :-
Hence, the assets valued at after 7 years = $ 125987.80
They are the same measurements, because:
from 10x + 5, first do vertical angle.
then, alternate interior angle,
then vertical angle again,
and another alternate interior angle.
For each vertical and alternate interior angles, the measurements stay the same.
Set them equal to each other, isolate and solve for x.
10x + 5 = 11x - 1
First, isolate the x. Subtract 10x from both sides, and add 1 to both sides
10x (-10x) + 5 (+1) = 11x (-10x) -1 (+1)
Simplify
5 + 1 = 11x - 10x
6 = x
x = 6
6 is your answer for x.
hope this helps
Answer:
8
Step-by-step explanation:
Varies directly think y=kx
Varies indirectly think y=k/x
We have first option so y=kx
x=6 and y=15 means we have 15=k(6)
So k=15/6 or reducing gives=5/2
So we just found our constant of proportionality, this number never changes. It stays the same no matter what x or y they give you...
So the equation is y=5/2 *x
Now what is x if y=20
Plug in 20=5/2 *x
So x=20*2/5=40/5=8
