Answer:
Step-by-step explanation:
24)
200= 3(21) + 4x
200= 63 +4x
-63 -63
137= 4x
divide each side by 4
34 = x
c
25)
.5(pi)= about 1.6
1.6(2.5)= 4
c
44)
equation- T= 12.17+0.75v
105.75= 12.17 + .75v
-12.17 -12.17
93.58= .75v
divide each side by .75
answer 125
Answer:
Step-by-step explanation:
Use the slope-intercept form to write the equation if the line of the graph given.
, where,
b = y-intercept, which is where the line cuts across the y-axis = 4.
m = slope = 
Substitute m = ⁴/3 and b = 4, into the slope-intercept formula to get the equation of the line:
Answer:
x = -180
Step-by-step explanation:
0 = 0.65x + 117
-117 = 65x/100
cross-multiply to solve for 'x':
65x = -11700
x = -11700/65
x = -180
Answer:
Length = 21
Width = 16
Step-by-step explanation:
We know that the formula for perimeter is:
P=2W+2L
And we also know that:
L=W+5
So then we put all that we know in the formula:
74=2W+2(W+5)
Now we expand the brackets and do some algebra:
74=4W+10 (-10)
64=4W (÷4)
16=W
Now that we know the width we can pop that into the length equation:
L=16+5
L=21
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.
