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3 years ago

Given L(-4, 3) and M(-7, -2), what is the length of segment LM?

Mathematics

1 answer:

kati45 [8]3 years ago

4 0

Answer:

$d = \sqrt{34}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra II

Distance Formula: $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Step-by-step explanation:

Step 1: Define

Point L (-4, 3)

Point M (-7, -2)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d.

Substitute [DF]: $d = \sqrt{(-7+4)^2+(-2-3)^2}$
Add/Subtract: $d = \sqrt{(-3)^2+(-5)^2}$
Exponents: $d = \sqrt{9+25}$
Add: $d = \sqrt{34}$

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