Answer:
D m = 
Step-by-step explanation:
factor the expressions in the denominator and the numerator to simplify the expression:
=> 
=> 
to make a fraction undefined, the numerator should be 0, thus, we substitute the values of m from the options into the denominator to make the denominator equals to 0:
=>
=
= 
in this case, the values of m from option D make the denominator of the fraction equals 0.
Answer:
152 in³
Step-by-step explanation:
Each cube's volume is the cube of its edge length, so the total volume is ...
(5 in)³ + (3 in)³ = 125 in³ +27 in³ = 152 in³
Answer:
10) - 45 degrees
12) 0 degrees
Step-by-step explanation:
10)
Find the x and y components that define the vector that joins C with D:
x-component: -4 - (-8) = - 4 + 8 = 4
y-component: 4 - 8 = -4
use the tangent function to find the angle
:

12)
Find the x and y components that define the vector that joins A with B:
x-component: 7 - 4 = 3
y-component: - 1 - (-1) = -1 + 1 = 0
use the tangent function to find the angle
:

Answer:
(x, y ) → (x + 6, y + 12 )
Step-by-step explanation:
We require to determine the horizontal and vertical shift to go from one of the points on the line to the corresponding point on the image
Consider point V with x- coordinate - 8 and y- coordinate - 2
The corresponding point is V'
with x- coordinate - 2 and y- coordinate 10
Thus V → V' is 6 units right in the horizontal direction and 12 units up in the vertical direction.
These are the same shifts for W → W'
Thus the translation rule is
(x, y ) → (x + 6, y + 12 )
Answer:
x=65
Step-by-step explanation:
x-5=60
Add 5 to both sides
x=65