Question

Can someone help me on the steps for this?

Answer 1

x = 13

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Equality Properties

• Multiplication Property of Equality
• Division Property of Equality
• Addition Property of Equality
• Subtract Property of Equality

Algebra I

• Multiple Roots

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

• a is a leg
• b is another leg
• c is the hypotenuse

Explanation:

Step 1: Identify

a = 12

b = 5

c = x

Step 2: Solve for x

1. Substitute in variables [PT]: 12² + 5² = x²
2. Evaluate exponents: 144 + 25 = x²
3. Add: 169 = x²
4. [Equality] Square root both sides: ±13 = x
5. Rewrite: x = ±13

Since we are dealing with positive numbers, we can disregard the negative root.

∴ x = 13