Answer:
Option C. (2x+3)(6x – 5) is the correct answer.
Step-by-step explanation:
Given polynomial(trinomial) is:

The given trinomial is quadratic. Factorization will be as follows:
Multiplying the co-efficient of x^2 and the constant results in 180. We have to make factors of 180 in such a way that their sum of difference is equal to the co-efficient of x.
The required factors are 18 and 10
So,

Hence,
Option C. (2x+3)(6x – 5) is the correct answer.
To find the slope between two coordinates, you use the formula:
m = y2 - y1/x2 - x1
If coordinate A is (-2, 5) and coordinate B is (3, -4), then:
y2 = -4
y1 = 5
x2 = 3
x1 = -2
So, just substitute the points into the formula.
m = -4 - 5/3 - (-2)
m = -9/5
The slope of the line is -9/5.
Answer:
D. <em>a</em> = 11.71 and <em>b</em> = 15.56
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Trigonometry</u>
- All angles in a triangle add up to 180°
<u>Pre-Calculus</u>
- Law of Sines:

Step-by-step explanation:
<u>Step 1: Define</u>
AC = b
CB = a
AB = 7
m∠A = 45°
m∠B = 110°
m∠C = ?
<u>Step 2: Find missing ∠</u>
- Set up equation: m∠C + 45° + 110° = 180°
- Combine like terms: m∠C + 115° = 180°
- Isolate unknown: m∠C = 25°
<u>Step 3: Find measure of </u><em><u>b</u></em>
- Substitute:

- Cross-multiply:

- Isolate <em>b</em>:

- Evaluate:

- Round:

<u>Step 4: Find measure of </u><em><u>a</u></em>
- Substitute:

- Cross-multiply:

- Isolate <em>a</em>:

- Evaluate:

- Round:

Answer:
y = 40.96
Step-by-step explanation:
Given
4 =
( multiply both sides by 10.24 to clear the fraction )
4 × 10.24 = y , that is
y = 40.96