What is the length of the hypotenuse? If necessary, round to the nearest tenth.

c = 7.6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

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: Define

Identify variables

a = 7

b = 3

Step 2: Solve for c

Substitute in variables [Pythagorean Theorem]:                                            7² + 3² = c²Evaluate exponents:                                                                                         49 + 9 = c²Add:                                                                                                                   58 = c²[Equality Property] Square root both sides:                                                    √58 = cRewrite:                                                                                                             c = √58Evaluate:                                                                                                           c = 7.61577Round:                                                                                                               c = 7.6

6(2x + 5y)6 (2x) = 12x6 (5y) = 30y12x + 30y