Answer:
D. N = w² + 8w + 12
Step-by-step explanation:
The current size is w by w+4, so the area is ...
A = w(w+4)
When each dimension is increased by 2, the new size is (w+2) by (w+4+2). The latter dimension can be simplified to (w+6). Now, the new area is ...
N = (w+2)(w+6) = w² +8w +12 . . . . . . . matches choice D
Answer:
x = -
, x = 3
Step-by-step explanation:
Given
(4x - 5)² = 49 ( take the square root of both sides )
4x - 5 = ±
= ± 7 ( add 5 to both sides )
4x = 5 ± 7, thus
4x = 5 - 7 = - 2 ( divide both sides by 4 )
x =
= - 
or
4x = 5 + 7 = 12 ( divide both sides by 4 )
x = 3
As a check
Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.
x = - 
left side = (- 2 - 5)² = (- 7)² = 49 = right side ⇒ solution
x = 3
left side = (12 - 5)² = 7² = 49 = right side ⇒ solution
Answer: The correct answer is “this is a reflection across the x-axis”
Answer:
-1
Step-by-step explanation:
Has to be the opposite