Answer:
Angle 1 and angle 3 are vertical angles.
Step-by-step explanation:
They are diagonal from each other causing it to be vertical angles and equal.
Answer:
{-7, 2, 8}
Step-by-step explanation:
We see that the domain is limited to three x-values: -3, 0 and 2. To find the range (which is the set of all y-values) we just need to plug-in these x-values and find the corresponding y-values.
So our equation is:
y = 3x + 2
Then we substitute for the x-values:
y = 3(-3) + 2
y = -9 + 2
y = -7
y = 3(0) + 2
y = 0 + 2
y = 2
y = 3(2) + 2
y = 6 + 2
y = 8
So our range would be {-7, 2, 8}.
Answer:
B. 5
Step-by-step explanation:
Let x = length of shorter leg
longer leg =
times the shorter leg
5
= x
x = 5
Answer: Third option.
Step-by-step explanation:
These are some transformations for a function f(x):
If
, then the function is shifted down "k" units.
If
, then the function is shifted right "k" units.
Knowing this we can describe the transformation from the graph of the function
to the graph of the function
. This is:
The function
is the function
but shifted right 3 units and shifted down 1 units.
Therefore, the correct option is the third one.
Answer:
Option C. 
Step-by-step explanation:
we know that
The volume of the solid Eva created is equal to the volume of the triangular prism minus the volume of the rectangular prism notch
step 1
<em>Find the volume of the triangular prism</em>
The volume is equal to

where
B is the area of the triangular base
h is the height of the triangular prism
substitute

step 2
Find the volume of the rectangular prism notch
The volume is equal to

step 3
Find the volume of the solid Eva created
