-25x is the slope
-42 is the y-intercept
When looking at a rectangular prism, we know that Volume = length * width * height
If we are given that the volume of the prism is 280 cubic meters (m^3), the length is 8 meters, and the width is 7 meters, we can fill in our equation.
280 = 8 * 7 * height
280 = 56 * height
Because we are solving for the height, we divide both sides by 56
280/56 = height
height = 5 meters
Answer:
The width of the frame is 0.0746 meters
Step-by-step explanation:
We are told that after the frame has been attached to the solar collector, the area that is left exposed is
. As we see in the figure, the dimensions of this area are
and 
where
is the width of the frame.
The product of these dimensions must equal the exposed area:

Now since
and
we have:

we expand this and solve for x using the quadratic formula:


we get two solutions:


We take the second solution i.e
, because first one gives a width larger than the dimensions of the solar collector which cannot be possible.
Thus the width of the frame is 0.0746 meters.
Answer:
.
Step-by-step explanation:
Start by finding the slope of this line.
If a slanting line goes through
and
, where
, the slope of this line would be:
.
The line in this question goes through
and
. Hence, the slope of this line would be:
.
If a slanting line with a slope of
and goes through the point
, the equation of this line in the point-slope form would be:
.
For the line in this question, the slope is
. Take
as the chosen point on this line. The point-slope form equation of this line would be:
.
Rewrite to obtain the equation of this line in the slope-intercept form:
.