Step-by-step explanation:
If the parabola has the form
(vertex form)
then its vertex is located at the point (h, k). Therefore, the vertex of the parabola

is located at the point (8, 6).
To find the length of the parabola's latus rectum, we need to find its focal length <em>f</em>. Luckily, since our equation is in vertex form, we can easily find from the focus (or focal point) coordinate, which is

where
is called the focal length or distance of the focus from the vertex. So from our equation, we can see that the focal length <em>f</em> is

By definition, the length of the latus rectum is four times the focal length so therefore, its value is

Answer:
240
Step-by-step explanation:
length x width x height
6 x 5 x 8
Amy(A): D + 12
Doug(D):D
Ginger(G):2D
SumOfAll(S)=208 : Total points / sum of all three friends
(D+12)+D+2D=208
D+12+3D=208 - transpose 12 to the right side
4D=208-12
4D = 196 - divide both sides by 4
D=49
Therefore, Doug scored 49
Answer:
A. {16}
Step-by-step explanation:
1/4 = x^-1/2
We have the exponent rule a^-1 = 1/a^1
Applying the rule, we get
1/4 = 1/x^1/2
x^1/2 = √x
1/4 = 1/√x
Now let's cross multiplying, we get
√x = 4
Taking square on both sides, we get
x = 16
The answer: A. {16}
Hope this will helpful.
Thank you.