What is the set of x-intercepts of this graphed function ? A.{-3,-1} B. {-3,-1,3} C. {-3,3} D.{-3}
1 answer:
You might be interested in
Answer:
Trapezoid 1 (left side):
Base 1 = 2
Base 2 = 5
Trapezoid 2 (right side):
Base 1 = 6
Base 2 = 8
Step-by-step explanation:
<u>1st trapezoid:</u>
b_1 = x
b_2 = x + 3
h = 4
Hence, area (from formula) would be:
<u>2nd trapezoid:</u>
b_1 = 3x
b_2 = 4x
h = 2
Putting into formula, we get:
Let's equate both equations for area and find x first:
We can plug in 2 into x and find length of each base of each trapezoid.
Trapezoid 1 (left side):
Base 1 = x = 2
Base 2 = x + 3 = 2 + 3 = 5
Trapezoid 2 (right side):
Base 1 = 3x = 3(2) = 6
Base 2 = 4x = 4(2) = 8
The formula for the volume of pyramid is,
Here, B is base area and height of pyramid.
The volume expression for group 4 is,
Here, expression,
represents the base area and 9 represent the height of pyramid.
So height of the pyramid created by group 4 is 9.
Answer: 9