Answer:
Step-by-step explanation:
We need to factor out numerator and denominator in order to simplify the rational expression by cancelling common factors.
Numerator : x^3 - 4 x = x (x^2 - 4) = x (x - 2) (x + 2)
Denominator (factoring by grouping):
x^2 - 5 x + 6 = x^2 - 3 x - 2 x + 6 = x (x - 3) - 2 (x - 3) = (x - 3) (x - 2)
Then we can cancel out the common factor (x - 2) in both numerator and denominator, leading to:
x (x + 2) / (x - 3) = (x^2 + 2)/ (x-3)
Answer:
A. 17°
Step-by-step explanation:
Recall: measure of an inscribed angle = ½(intercepted arc)
Inscribed angle = m<MTH
Intercepted arc = arc MH = 34°
Therefore,
m<MTH = ½(Arc MH)
Substitute
m<MTH = ½(34)
m<MTH = 17°
Answer:
b. -84
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<u />
<u />
<u />
<u>Step 2: Solve for </u><em><u>a</u></em>
- Addition Property of Equality:
- [Simplify] Add:
- Multiplication Property of Equality:
- [Simplify] Multiply:
<u>Step 3: Check</u>
<em>Plug in a into the original equation to verify it's a solution.</em>
- Substitute in <em>a</em>:
- [Frac] Divide:
- Subtract:
Here we see that 5 does indeed equal 5.
∴ a = -84 is the solution to the equation.
Answer:
6 rolls
Step-by-step explanation:
7 × 6.5 is 45.5
45.5 ÷ 8 is 5.6875
5.6875≈6
So 6!
When reflecting over y = -x
The x and y values change places and the signs change.
(-2,5) becomes (-5,2)
