43.1436, or round it to 43.1
The answer is
2x - 3 + 15 / 5x + 1
A is the answer
Answer:
Problem #1: Option D, Line 4
Problem #2
PART A: Option 1, 2xy(2x−y)(2x+y)(4x2+y2)
PART B: Option 3, greatest common factor, Option 6, repeated difference of squares
Step-by-step explanation:
Problem #1
Step 1: Factor P(x) = 8x^3 + 20x^2 − 18x − 45
4x^2(2x + 5) - 9(2x + 5)
(4x^2 - 9)(2x + 5)
<em>(2x + 3)(2x - 3)(2x + 5)</em>
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Answer: Option D, Line 4
Problem #2
<u>Part A: Factor</u>
2xy(16x^4 - y^4)
2xy(4x^2 + y^2)(2x + y)(2x - y)
Answer: Option 1, 2xy(2x−y)(2x+y)(4x2+y2)
Part B: Find the methods
Option 3, greatest common factor
Option 6, repeated difference of squares
Answer:
D.) 11.8 cm
Step-by-step explanation:
The short side has length ...
5·sin(30°) = 2.5
The long side has length ...
5·cos(30°) ≈ 4.33
The sum of all side lengths is ...
5 + 2.5 + 4.33 = 11.83 . . . . cm
The perimeter is about 11.8 cm.
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The mnemonic SOH CAH TOA can help you remember the relationship between trig functions and side lengths:
Sin = Opposite/Hypotenuse ⇒ Opposite = Hypotenuse × Sin
Cos = Adjacent/Hypotenuse ⇒ Adjacent = Hypotenuse × Cos