Simplify: n(8n−6)+10(7−n)=2

Mathematics

2 answers:

garik1379 [7]3 years ago

8 0

I think i’m may be ‘B’ i’m so sorry if i’m incorrect!!

damaskus [11]3 years ago

8 0

Answer:

B. 8n²−16n=−68

Step-by-step explanation:

First - Distribute the n & 10

n * 8n & n * -6 = 8n² - 6n

10 * -n & 10 * 7 = -10n +70

Second - Move the 2 by subtracting

8n² - 6n - 10n +70 = 2 -> 8n² - 6n - 10n +70 - 2 = 2 - 2

Third - Combine like terms

-6n - 10n = -16n

70 - 2 = 68

8n² - 16n + 68 = 0

Fourth - Move 68 by subtracting

8n² - 16n + 68 - 68 = 0 - 68

8n² - 16n = -68

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3 years ago

What is the distance between the points (21 , 13) and (3 , 13) in the coordinate plane?

Oxana [17]

Answer:

$\displaystyle d = 18$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinates (x, y)

Algebra II

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

Step-by-step explanation:

Step 1: Define

Identify

Point (21, 13)

Point (3, 13)

Step 2: Find distance d

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

Substitute in points [Distance Formula]: $\displaystyle d = \sqrt{(3-21)^2+(13-13)^2}$
[√Radical] (Parenthesis) Subtract: $\displaystyle d = \sqrt{(-18)^2+(0)^2}$
[√Radical] Evaluate exponents: $\displaystyle d = \sqrt{324+0}$
[√Radical] Add: $\displaystyle d = \sqrt{324}$
[√Radical] Evaluate: $\displaystyle d = 18$