Answer: ( P - 10 )/12, (2x + 5)(4x + 1)
Step-by-step explanation:
The length of the rectangle = 4x + 1,
The breadth = 2x + 5
Formula for finding perimeter of a rectangle, = 2( L + B )
Now, substitute for L and B in the formula, open the formula and simplify,
= 2(4x + 1 + 2x + 5 )
= 2(6x + 5 )
= 12x + 10
Therefore, the perimeter (p)of the rectangle, = 12x + 10.
If P = 12x + 10
12x = P - 10
x = ( P - 10 )/12
Area of a rectangle = L x B
=( 4x + 1 )( 2x + 5)
We therefore open the brackets
(4x + 1)(2x + 5)= 4x X 2x + 4x X 5+ 1 X 2x + 1 X 5
= 8x² + 20x + 2x + 5
A = 8x² + 22x + 5
A = (2x + 5)(4x + 1)
Answer:
(g o f) (x) = 2x + 16
Step-by-step explanation:
" (g o f) (x) )" is called "the composition of f and g."
Evaluating this involves substituting the function f(x) = 2x + 1 for x in g(x) = x+14:
(g o f) (x) = 2(x+1) + 14, or
(g o f) (x) = 2x + 2 + 14, or
(g o f) (x) = 2x + 16
Collect like terms
x + 4x - 4 = 9 - 2 x - 6
move the terms
5x - 4 = 3 - 2x
collect like terms calculate
5x + 2x = 3 + 4
7x = 7
answer is x = 1
The number is 8 since 9 squared is 81
Answer:
36: 1/4 unit cubes
Step-by-step explanation:
Hope this helps