Answer:
x = ±6
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra II</u>
- Extraneous solutions and multiple answers/roots
Step-by-step explanation:
<u>Step 1: Define</u>
-x² = -36
<u>Step 2: Solve for </u><em><u>x</u></em>
- Divide -1 on both sides: x² = 36
- Square root both sides: x = ±6
<u>Step 3: Check</u>
<em>Plug in x to verify it's a solution.</em>
- Substitute in -6: -(-6)² = -36
- Exponents: -(36) = -36
- Multiply: -36 = -36
- Substitute in 6: -(6)² = -36
- Exponents: -(36) = -36
- Multiply: -36 = -36
Here we see that both -6 and 6 do indeed work as solutions.
∴ x = ±6 are both solutions to the equation.
Answer:
I think it is B. -3x < - 30, but I might be wrong.
Step-by-step explanation:
Solution:
<u>Note that:</u>
- Given angles: w + 8° and 48°
- w + 8 + 48 = 180
<u>Solve for w in the equation "w + 8 + 48 = 180".</u>
- => w + 8 + 48 = 180
- => 56 + w = 180
- => w = 180 - 56
- => w = 124°
The value of w is 124.
