What is the length of the missing leg?

a = 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 = a

b = 8

c = 10

Step 2: Solve for a

Substitute in variables [Pythagorean Theorem]:                                            a² + 8² = 10²Evaluate exponents:                                                                                         a² + 64 = 100[Subtraction Property of Equality] Subtract 64 on both sides:                      a² = 36[Equality Property] Square root both sides:                                                    a = 6

the image of (6, 9) under a dilation is (4, 6). the scale factor is

b. 2/3