A.up and to the right is the answer
9514 1404 393
Answer:
8√3 ≈ 13.86 ft
Step-by-step explanation:
The light source is usually placed at the focus, so the focus-vertex distance is p=3 ft. The equation for the parabola with its vertex at the origin is ...
y = 1/(4p)x^2
y = 1/12x^2
The opening for some y-value extends ±x from the axis of symmetry, so is a total of 2x in width.
For y=4, the corresponding value of x is ...
4 = 1/12x^2
48 = x^2
√48 = x = 4√3
Then the width of the searchlight opening is ...
2(4√3 ft) = 8√3 ft ≈ 13.86 ft
Answer:
Range is : { -10, -7, -5, -2 }
Step-by-step explanation:
Given:
The function is given as:

The domain of the function = { -3, 0, 2, 5 }
A function's input is called its domain and a function's output is called its range.
The range depends on the domain values. So, the values of 'y' are the values of range and the values of 'x' are the values of domain.
Here, the domain is given as:
Domain = { -3, 0, 2, 5 }
We need to find the values of 'y' for each value of 'x' taken from the domain set.
Plug in
. This gives,

Plug in
. This gives,

Plug in
. This gives,

Plug in
. This gives,

Therefore, the set of all values of 'y' is the range.
Range is equal to { -10, -7, -5, -2 }.
Answer:
The missing number is 1000
Step-by-step explanation:
0.037 × ? = 37
Divide both sides by 0.037.

Expand
by multiplying both the numerator and the denominator by 1000.

Divide 37000 by 37 to get 1000.

Hope it helps and have a great day! =D
~sunshine~