C. (1,-4)
Vertex is the point where the parabola begins. The vertex is one unit to the right on the x axis and 4 units down on the y axis which gives you the coordinate (1,-4)
The slope is calculated through the formula:
dy/dx.
If you apply this to your question you get:
(4-2)/(4-1) = 2/3 or 0.667
Hope this helps!
Answer:
The equation of a parallel line in point-slope form would be f(x) = -5/3x - 14
Step-by-step explanation:
To find this, we must first find the slope of the original line. We can do this by solving for y.
5x + 3y = 8
3y = -5x + 8
y = -5/3x + 8/3
Now that we have the slope of the original line, we can use the point and slope and put them into the base form of point-slope form. Then we solve for y to get the final result.
y - y1 = m(x - x1)
y + 9 = -5/3(x + 3)
y + 9 = -5/3x - 5
y = -5/3x - 14
Then to get the function notation, we need to replace the y with f(x).
f(x) = -5/3x - 14
So if you have r^2 + 4s and r=4 and s = 1.5 r^2 is 4^2 which is 16 and 4s is 1.5 x 4 which is 6 so you do 16 + 6 which is 22 so the correct answer is a.
Answer:
23.25 m^3
Step-by-step explanation:
First you must find the area of the base you find it like this:
A(area)=1/2(one half)3.1(base)2.5(height)
you get 3.875(this is the area of the base)
now you have to multiply the area of base times the area of height like this:
A(area)=3.875(area of base)6(height)=23.25
so the answer is 23.25m^3
Hope I'm right have a great day!