Answer:
The x-intercept of CD is -19/5
Step-by-step explanation:
If the coordinates of the first point is (-3, 2) and the coordinates of the point B are (7, 6) then we need first to find the equation of the line CD:
We know that the general equation of the line is:
y-y0 = m(x-x0) where (x0, y0) represents a point that belongs to the line and m, is the slope which can be calculated by using the following formula:
m = (x1 - x0) / (y1 - y0)
In this case:
(x1, y1) = (7, 6)
(x0, y0) = (-3, 2)
Then:
m = (7 - (-3))/(6-2) = 10/4 = 5/2.
Then, the equation of the line is:
y-y0 = m(x-x0)
y - 2 = 5/2 (x -(-3))
y = 5/2(x+3) + 2
To find the x intercept we make y=0.
Then y = 5/2(x+3) + 2 = 0
Then:
x = -4/5 - 3 = -19/5
If the diameter of the cylinder's base is 10, then the radius is half that, or 5.
The exact answer is
but if you round it up it will equal
Check the picture below.
5 is 1*5, or 5 times greater than 1.
Answer: The answer you are looking for is A.
Step-by-step explanation:
Simplifying
15xz + 21yz
Factor out the Greatest Common Factor (GCF), '3z'.
3z(5x + 7y)
Final result:
3z(5x + 7y)
