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:
x = -y + 7
or
x = 7 - y
Step-by-step explanation:
x + y = 7
Step 1: Subtract y from both sides to get x alone.
x + y = 7
-y -y
x = 7 - y
Since x is alone and y is a variable & not a number, there's nothing else to do to the equation.
The diagonal of a square forms two 45-45-90 triangles.
The ratios of the lengths of the sides of a 45-45-90 triangle are

The hypotenuse is

times the length of the legs.
Each leg is the length of the hypotenuse divided by

.




Answer: he will need 96.2 ft of fencing.
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