<span>13 more than 4 times a number is negative 91
</span>Convert to numbers:
13 more than 4: 4+13
times a number: (x)
is negative 91: = -91
Put it together:
4x+13=-91
x = -26
Given:
The focus of the parabola is at (6,-4).
Directrix at y=-7.
To find:
The equation of the parabola.
Solution:
The general equation of a parabola is:
...(i)
Where, (h,k) is vertex, (h,k+p) is the focus and y=k-p is the directrix.
The focus of the parabola is at (6,-4).

On comparing both sides, we get

...(ii)
Directrix at y=-7. So,
...(iii)
Adding (ii) and (iii), we get



Putting
in (ii), we get



Putting
in (i), we get


Therefore, the equation of the parabola is
.
Answer:
j = (h-4) / k
Step-by-step explanation:
Unless there is more information given about this question somewhere else in the assignment, I'm assuming you are being asked to solve this equation for j.
If so, then its just a matter of rearranging the equation so that it is in the form
j = (expression containing other variables)
(h-4) / j = k (multiply both sides by j)
(h-4) = jk (divide both sides by k)
j = (h-4) / k
Answer:
Hi
If u haven't given the pic it would be easy.
Thanks.
^ - ^
x = sqrt{y}k
K is the constant of proportionality.
128 = sqrt{16}k
128 = 4k
128/4 = k
32 = k
x = sqrt{y}k
x = sqrt{36}•32
x = 6 • 32
x = 192
Find y when x = 48.
x = sqrt{y}k
48 = sqrt{y}32
48/32 = sqrt{y}
(48/32)^2 = [sqrt{y}]^2
2.25 = y