Answer:
(3x + 1) • (3x - 1)
Step-by-step explanation:
Step by Step Solution
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STEP
1
:
Equation at the end of step 1
3
x - 1
STEP
2
:
Trying to factor as a Difference of Squares:
2.1 Factoring: 9x-1
Theory : A difference of two perfect squares, A - B can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A - AB + BA - B2 =
A
- AB + AB - B2 =
A - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 9 is the square of 3
Check : 1 is the square of 1
Check : x is the square of x1
Factorization is : (3x + 1) • (3x - 1)
Final result :
(3x + 1) • (3x - 1)
Answer:
D
Step-by-step explanation:
so we know that x + y is greater than or equal to 5 + 2 which is 7.
we also know that y is greater than 2.
therefore our answer cannot be A, E, or F.
now that we know that x + y is greater than or equal to 7, since y is greater than 2, x is less than 5, because 2 + 5 = 7.
that means our answer cannot be C.
the only two answers left are D and E.
if our answer was D, then we would have 3 + 6 is greater than or equal to 7.
this is true, so one of our answers is D.
if our answer was E, then we would have 2 - 5 is greater than or equal to 7.
this is untrue, so our answer is not E.
therefore our answer is D
The approximate length of rail that needs to be replaced is 7.1 ft
<h3>Length of arc</h3>
Since the pool is circular, the approximate length that needs to be replaced is an arc of length, L = Ф/360° × πD where
- Ф = central angle of rail section = 27° and
- D = diameter of circular pool = 30 ft
<h3>Approximate length of rail</h3>
So, substituting the values of the variables into the equation, we have
L = Ф/360° × πD
L = 27°/360° × π × 30 ft
L = 3/40 × π × 30 ft
L = 3/4 × π × 3 ft
L = 9/4 × π ft
L = 2.25 × π ft
L = 7.07 ft
L ≅ 7.1 ft
So, the approximate length of rail that needs to be replaced is 7.1 ft
Learn more about length of an arc here:
brainly.com/question/8402454
1. -2 I hope that helps a little bit
28% = 28 / 100
As a rate per 100 is: 28 per 100.
