40 goes into 32 0 times 40 goes into 321 8 times 40 times 8 equls 320 so 8r1
a+2 a +1
= ------- / ------------------
a -5 (a - 3)(a - 5)
a+2 (a - 3)(a - 5)
= ------- * ------------------
a -5 a +1
(a+2)(a - 3)
= ----------------
a +1
a NOT equal 5 and -1
That's true. Opposite sides of a parallelogram are parallel, which implies that the opposite angles are congruent.
Answer:
x = ±i√2
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
Subtraction Property of Equality<u>
</u>
<u>Algebra II</u>
Imaginary root <em>i</em>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
5x² - 2 = -12
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Addition Property of Equality] Add 2 on both sides: 5x² = -10
- [Division Property of Equality] Divide 5 on both sides: x² = -2
- [Equality Property] Square root both sides: x = ±√-2
- Rewrite: x = ±√-1 · √2
- Simplify: x = ±i√2
The amount of soil that the pot can hold is best approximated by calculating for the volume of the cylinder through the equation,
V = πr²h
We first calculate for the radius, r, given the circumference, C
C = 2πr; r = C/2π = 66 in/2(π) = 10.5 in
Then, substituting the known values.
V = π(10.5 in)²(30 in)
V = 10,390.81 in³
Thus, the volume of the soil is approximately 10,400. The answer is the third set.
