Answer:
part A: expression 1: 6(8m+2)
expression 2: 6m+12+42m
Part B: 6(m+2+7m)= 6(8m+2)
combine like terms is 6(m+2+7m), so it is 6(2+8m) or 6(8m+2)
6(8m+2)= 6(8m+2)
Part C: 6m+12+42m=6(m+2+7m)
m=0
6(0+2+7(0))=6(0)+12+42(0)
6(2)= 12
12=12
Answer:
Part 1) The area is 
Part 2) The circumference is 
Step-by-step explanation:
step 1
Find the area
we know that
The area of a circle (circular tablecloth) is equal to

we have
------> the radius is half the diameter

substitute


step 2
Find the circumference
we know that
The circumference of a circle (circular tablecloth) is equal to

we have

substitute


Answer:
a. 
b. 
Step-by-step explanation:
a.


Where, 


Where, 

Volume of the shaded figure = 
b.
expressed in factored form:
Look for the term that is common to 9a³ and 9ab², then take outside the parenthesis.

Answer:
b= 12
Step-by-step explanation:
3/b = 5/20
3/b = 1/4
b= 12
Answer:
C, z = 45°
Step-by-step explanation:
Statements Reasons
2z + 90° = 180° PWP, Def. of Right Δ
2z = 90° Algebra
z = 45° Algebra
(PWP stands for Partial-Whole-Postulate)
Hope this helps and good luck with the rest of your assignment :)