The first two vertices are (-7,3) (-6,1)
Slope = (3 - 1)/(-7 + 6) = -2
Opposite side of the first two vertices so the lines are parallel.
Parallel lines, slope is the same so slope is also -2
Passing thru (-4,5)
y = mx + b
b = y - mx
b = 5 - (-2)(-4)
b = 1 - 8
b = -7
Equation:
y = -2x - 7
Hope it helps.
The
Answer:
0 and 1 have the same y values for the x values.
Domain represents all of the values that "x" can be.
In the illustration above, x represents time. Can time be negative? (No - unless you have a time machine!). So the smallest value that x can be is 0.
Now let's look at what happens when x is greater than 8....the y-value would be negative. In the illustration above, y represents depth. Can depth be negative? (No!) So the largest value that x can be is 8.
Answer: B. Real numbers from 0 to 8
Answer:
It would be 15 inches.
Step-by-step explanation:
Because the windows have to have the same area, you would have to make the base x height equal to 90. 90 divided by 6 is 15
Answer:
1) V = 12 π ㏑ 3
2) 
Step-by-step explanation:
Given that:
the graphs of the equations about each given line is:
Using Shell method to determine the required volume,
where;
shell radius = x; &
height of the shell = 
∴
Volume V = 
V = 12 π ( ㏑ 3 - ㏑ 1)
V = 12 π ( ㏑ 3 - 0)
V = 12 π ㏑ 3
2) Find the line y=6
Using the disk method here;
where,
Inner radius 
outer radius R(x) = 6
Thus, the volume of the solid is as follows:
Recall that:
Then:
The graph of equation for 1 and 2 is also attached in the file below.
