Solution:
we have been asked to find the equation of the line that passes through (7, 4) and (4, -2).
First we will find the slope of the line using the formula
Plugin the given values we get
Now using the point slope form of a straight line
Plugin the values
Hence the correct option is a.
Hi
96 miles ⇒ 3.2 gallons
x miles ⇒ 12.5 gallons
3.2x = 96·(12.5)
3.2x = 1,200
x = 1,200/3.2
x = 12,000/32
x = 375 miles
or
96/3.2 = 960/32 = 30 miles/gallon
1 gallon ⇒ 30 miles
12.5 gallons ⇒ x miles
x = 30·(12.5)
x = 375 miles
Answer: 375 miles
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.