Answer:
B. -1
Step-by-step explanation:
I calculated it logically
A dilation is a transformation (notation) that produces an image that is the same shape as the original, but is a different size.
***(2x²+6x-8):(x+5)=2x-4
-2x²-10x
⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻
-4x-8
4x+20
⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻
12 ⇒ A. statement is true.
***When x=-5⇒2*(-5)²+6*(-5)-8=12⇒B. statement is true.
***2x²+6x-8 can also be written as (x+5)*(2x-4)+12 so (x+5) is a factor of 2x²+6x-8⇒C. statement is true.
***When x=5⇒2*5²+6*5-8=72 is not 12⇒D. statement is not true
***(2x²+6x-8):(x+5)=2x+16
-2x²+10x
⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻
16x-8
-16x+80
⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻
72⇒F. statement is not true
***E. statement is not true.
Answer:
Step-by-step explanation:
Solve for z:
-2(z + 3) = -z - 4(z + 2)
-4(z + 2) = -4z - 8:
-2(z + 3) = -z -4z - 8
Grouping like terms, -z - 4z - 8 = (-z - 4z) - 8:
-2(z + 3) = (-z - 4z) - 8
-z - 4z = -5z:
-2 (z + 3) = -5z - 8
Expand out terms of the left hand side:
-2z - 6 = -5 z - 8
Add 5z to both sides:
(5z - 2z) - 6 = (5z - 5z) - 8
5z - 5z = 0:
(5z - 2z) - 6 = -8
5z - 2z = 3z:
3z - 6 = -8
Add 6 to both sides:
3z + (6 - 6) = 6 - 8
6 - 6 = 0:
3z = 6 - 8
6 - 8 = -2:
3z = -2
Divide both sides of 3z = -2 by 3:
