Question

The distance between P and T on the coordinate grid is ___ units. (Input whole numbers only.) Please walk me through the question!

Answer 1

25 units

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

Algebra II

• Distance Formula:
  `d = √((x_2-x_1)^2+(y_2-y_1)^2)`

Explanation:

Step 1: Define

Point P (-10, 15)

Point T (15, 15)

Step 2: Find distance d

1. Substitute:
   `d = √((15+10)^2+(15-15)^2)`
2. Add/Subtract:
   `d = √((25)^2+(0)^2)`
3. Simplify:
   `d = √((25)^2)`
4. Simplify:
   `d = 25`