Question

can someone help me on the steps for this?

Answer 1

Answer:

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

Step-by-step 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