Answer:
9.5
Step-by-step explanation:
Answer:
Quadrant IV (Quadrant 4)
Step-by-step explanation:
As it is a positive x yet negative y so it has to be in quadrant 4 otherwise known as quadrant IV.
First we should figure out the volume of the prism (ignoring the cylinder at the moment)
(base * height/2)*depth
We need to find the height of the triangle which can be done with pythagoras because this is a right angled triangle (as shown by the little square at the bottom)
12 is the hypotenuse.
√12²-10² =6.63 (rounded)
Now we have the height of the triangle and can find the volume.
12*6.63/2*15=596.7
Now we find the volume of the cylinder.
area of circle * depth
area=3.14*1.5²
3.14*2.25
7.065
7.065*15=105.975
Now we subtract the volume of the cylinder from the volume of the prism and you have:
596.7-105.975
490.725 which is your answer
Hope this helps :)
Answer:
5/6
Step-by-step explanation:
Change in y over change in x
Answer:
A. f(x) = (4x+5)(x-3)
B. Since +4 > 0, the graph opens up
as always, the vertex is at x = -b/2a = 7/8
C. plot the vertex at (7/8, -18 1/16)
pick a point or two, say at x=0,1,2 and plot them. then draw a curve through them.
Step-by-step explanation:
f(x) = 4x^2 − 7x − 15
Part A: What are the x-intercepts of the graph of f(x)? Show your work.
Part B: Is the vertex of the graph of f(x) going to be a maximum or minimum? What are the coordinates of the vertex? Justify your answers and show your work.
Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph.