Answer:
see below
Step-by-step explanation:
16x^2 − 8x + 1
(4x)^2 -8x +1
Factor
This is a perfect square trinomial
a^2 -2ab +b^2 = (a-b)(a-b)
(4x)^2 -8x +1 = (4x-1) (4x-1)
The area of a square is given by
A = s^2
(4x-1) ^2 = s^2
4x-1 = s
The side length is 4x-1
(81x^2 − 4y^2)
(9x)^2 - (2y)^2
This is the difference of squares
a^2 - b^2 = (a-b) (a+b)
(9x-2) (9x+2)
The area of a rectangle is
A = l*w
(81x^2 − 4y^2) = (9x-2) (9x+2)
The dimensions are (9x-2) (9x+2)
Answer:
C
Step-by-step explanation:
Given
6(x + 4) = 2(y + 5) ← distribute parenthesis on both sides of the equation
6x + 24 = 2y + 10 ( subtract 10 from both sides )
6x + 14 = 2y ( divide all terms by 2 )
3x + 7 = y, hence
y = 3x + 7 → C
Answer:
V = π × 4² × 16
Step-by-step explanation:
The formula for the volume of a cylinder is
V = πr²h
Data:
r = 4 in
h = 16 in
Calculation:
V = πr²h = π × 4² × 16
The answer is 11367736100!
