Use the expression below. -4b + 8c + 12 - 8b - 2c + 6
Part A
Simplify the expression.

Part B
Factor the simplified expression using
the GCF.

Part C
What is the value of the expression
when b = 2 and c = -3?

Part A) − 12 b  +  6 c  +  18

Part B) -2b + 1c + 3

Part C) -4

Step-by-step explanation:

Part A)

Step 1:

-4b + -8b = -12b

Step 2:

8c + 2c = 6c

Step 3:

12 + 6 = 18

− 12 b  +  6 c  +  18

Part B)

GCF = 6

Step 1:

-12 divided by 6 = -2b

Step 2:

6 divided by 6 = 1c

Step 3:

18 divide by 6 = 3

-2b + 1c + 3

Part C)

Step 1: Subsitute 2 for b and 3 for c

(− 2 x 2 )  +  (1  x -3) +  3

Step 2: Multiply (− 2 x 2 )  +  (1  x -3) +  3

-4 + (-3) + 3

Step 2: Add -4 + (-3) + 3

-7 + 3 = -4

-4

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm

answer: 8

step-by-step explanation: if you add the possibilities 5 different flavor and 3 different sizes 5+3=8