Answer:
(2) / ((x + 5)(x - 1))
&
(3x) / ((x - 6)(x - 1))
Step-by-step explanation:
The question is asking you to factor the denominator. In this case, you cannot simplify either of the numerators. You can factor the denominator by asking yourself the question: which two numbers multiply to equal the final number in the quadratic and add to equal the middle number in the quadratic?
1.) 2 / (x² + 4x - 5)
-----> Which two numbers multiply to -5 and add to 4? These numbers are 5 and -1. This makes the factors (x + 5) and (x - 1). The fully simplified answer: (2) / ((x + 5)(x - 1))
2.) 3x / (x² - 7x + 6)
------> Which two numbers multiply to 6 and add to -7? These numbers are -6 and -1. This makes the factors (x - 6) and (x - 1). The fully simplified answer: (3x) / ((x - 6)(x - 1))
*Please let me know if I misinterpreted the question or you need further clarification <3
Answer:
x ≈ 4
Step-by-step explanation:
We use tan∅ to solve this:
tan30° = x/7
7(tan30°) = x
x = 4.04145
Remember that tangent is opposite over adjacent.
Answer: 11
Step-by-step explanation:
plug in 4 any instance you see "x"
f(x) = 3x - 1
f(4) = 3(4) - 1 = 11
The area of the shaded sector of the circle is: 4π/3 units².
<h3>What is the Area of a Sector?</h3>
Area of sector of a circle = ∅/360 × πr², where r is the radius of the circle and ∅ is the central angle.
Given:
∅ = 120°
r = FG = 2
Thus:
Area of sector of a circle = 120/360 × π(2²)
Area of sector of a circle = 1/3 × π(4)
Area of sector of a circle = 4π/3 units²
Thus, the area of the shaded sector of the circle is: 4π/3 units².
Learn more about the area of a sector on:
brainly.com/question/22972014