Answer:
C. 144 square feet
Step-by-step explanation:
step 1
we know that
The perimeter of a square is given by the formula
where
P is the perimeter
a is the length side of the square
we have
substitute in the formula
solve for a
divide both sides by 4
step 2
Find the area
The area of a square is given by the formula
we have
substitute
4x^2 + 9xy - y^2 = 8
8x + 9xf'(x) + 9y - 2yf'(x) = 0
f'(x) (2y - 9x) = 8x + 9y
f'(x) = (8x + 9y)/(2y - 9x)
To answer, find the distance from point C to D, point D to E, point E to F, and point F to C. The formula for the distance is,
d = sqrt ((x2 - x1)² + (y2 - y1)²)
Point C to D d1 = sqrt ((-3 - -2)² + (1 - 4)²) = 3.16 units
Point D to E d2 = sqrt ((1 - -3)² + (0 - 1)²) = 4.12 units
Point E to F d3 = sqrt ((-1 - 1)² + (2 - 0)²) = 2.83 units
Point F to C d4 = sqrt ((-1 - -2)² + (2 - 4)²) = 2.23 units
Then, add up all the distances and the answer is 12.34 units. The closest answer is letter D. Credit:Meerkat
Answer: 56.96
Step-by-step explanation: 80.66 - 23.7 = 56.96
HOPE THIS HELP :D
Answer:
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "b2" was replaced by "b^2". 1 more similar replacement(s).
STEP
1
:
5a + 5b
Simplify ———————
a2 - b2
STEP
2
:
Pulling out like terms
2.1 Pull out like factors :
5a + 5b = 5 • (a + b)
Trying to factor as a Difference of Squares:
2.2 Factoring: a2 - b2
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : a2 is the square of a1
Check : b2 is the square of b1
Factorization is : (a + b) • (a - b)
Canceling Out :
2.3 Cancel out (a + b) which appears on both sides of the fraction line.
Final result :
5 / a -b
Step-by-step explanation:
