Okay soo you got 9•2 it equals to 18 then divide 18 by 4 & that will give you 4.5
Step-by-step explanation:
The equation of a parabola with focus at (h, k) and the directrix y = p is given by the following formula:
(y - k)^2 = 4 * f * (x - h)
In this case, the focus is at the origin (0, 0) and the directrix is the line y = -1.3, so the equation representing the cross section of the reflector is:
y^2 = 4 * f * x
= 4 * (-1.3) * x
= -5.2x
The depth of the reflector is the distance from the vertex to the directrix. In this case, the vertex is at the origin, so the depth is simply the distance from the origin to the line y = -1.3. Since the directrix is a horizontal line, this distance is simply the absolute value of the y-coordinate of the line, which is 1.3 inches. Therefore, the depth of the reflector is approximately 1.3 inches.
Answer: The correct answer is C
-1/4r+6p
Step-by-step explanation:
Answer: =−20
y=2
Step-by-step explanation:
Solve for xx in -5y-10=x−5y−10=x.
x=-5y-10
x=−5y−10
2 Substitute x=-5y-10x=−5y−10 into x+9y=-2x+9y=−2.
4y-10=-2
4y−10=−2
3 Solve for yy in 4y-10=-24y−10=−2.
y=2
y=2
4 Substitute y=2y=2 into x=-5y-10x=−5y−10.
x=-20
x=−20
5 Therefore,
\begin{aligned}&x=-20\\&y=2\end{aligned}
x=−20
y=2
Given:
The given functions are:
To find:
The transformations performed of f(x) to create g(x).
Solution:
The translation is defined as
.... (i)
Where, k is stretch factor, a is horizontal shift and b is vertical shift.
If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
We have,
Using these two function, we get
...(ii)
On comparing (i) and (ii), we get
It means the graph of f(x) is vertically stretched with a scale factor of 3, shifts 5 units left and 2 units down to get g(x).
Therefore, the correct options are A and C.
