The volume of the prism, in cubic units is V = 1/2*x³ + x²
The figure and options are in the figure attached
<h3>What is an Oblique Prism ?</h3>
An oblique prism is a polyhedron figure , with a rectangular base and triangular side faces .
It is given that
The oblique prism below has an isosceles right triangle base.
In the figure attached, the oblique prism is shown.
The volume of the prism is given by
V = b*h
h is the height and b is the Area of the base
It is given that the base is an isosceles right triangle, its area is:
Area of a Triangle = (1/2) base * height
here the base and height is x
b = 1/2*x²
The height of the prism is (x + 2).
Then, the volume is:
V = 1/2*x²*(x + 2)
V = 1/2*x³ + x² cu. units
To know more about Oblique Prism
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Answer:
a. 0.25
Step-by-step explanation:
The given expression is
Factor the denominator using difference of two squares.
Cancel out common factors;
We plug in 2 to get
Answer: 1.5
Step-by-step explanation:
The equation of a line in slope - intercept form is given as :
y = mx + c , where :
m = slope
c = y - intercept
Given:
2y = 3x - 30
What we need to do is to write it in slope - intercept form, we will make y the subject of formula.
Divide the equation through by 2
2y/2 = 3x/2 - 30/2
y = 3x/2 - 15
comparing with y = mx + c
slope = 3/2 = 1.5
Answer:
f(x) = |x|
g(x) = |x| - 2
h(x) = |x| + 3
Step-by-step explanation:
All the functions graphed represent the absolute value functions.
Since function g(x) passes through (0, 0) and (1, 1),
Let the equation of a line passing through these points is,
y = mx + b
Slope of the line passing through these points 'm' = 
m = 1
y-intercept of the line 'b' = 0
Therefore, equation of the line will be,
y = x
And the function representing the two lines (both are the mirror images) joining at the origin will be,
f(x) = |x|
When the parent function is shifted 3 units up, the new function will be
h(x) = |x| + 3
When the parent function is shifted 2 units down,
g(x) = |x| - 2
The answer is 49 because 50 - 1=49 that is one way but i dont know the other way
