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:
x=7.2cm.........................
Answer:
We have the function g(x) = x^3 -15*x
First, to find extrema, we can find the zeros of the first derivative.
g'(x) = 3*x^2 -15
g'(x) = 0 = 3*x^2 - 15
x^2 = 15/3 = 5
x = √5
x = -√5
Now, watching at the second derivative we have:
g''(x) = 6*x
so when we have
g''(√5) = 6*√5 > 0 then x = √5 is a local minimum
g''(-√5) = -6*√5 < 0, then x = -√5 is a local maximum.
Answer:
No solution
Step-by-step explanation:
Answer:
50
Step-by-step explanation:
the answer is 50 because you have to add 22+15+23=50 then you add the makes which is 8+7+10=25. Then time both by 2 because percent means per one hundred which means the bottom has to equal 100 so time 50x2=100, So 25x2=50