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3 years ago

Question 10 of 10

Mathematics

1 answer:

pychu [463]3 years ago

5 0

Answer:

y=4x−14

Step-by-step explanation:

solve for y.

y+2=4(x−3)

distribute 4

y+2=4x-12

subtract 2 from both sides

y+2+−2=4x−12+−2

y=4x−14

Answer:

y=4x−14

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What is the distance between the points (2, 1) and(6, 7)?

icang [17]

Answer:

$\displaystyle d = 2\sqrt{13}$

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 (2, 1)

Point (6, 7)

Step 2: Find distance d

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

Substitute in points [Distance Formula]: $\displaystyle d = \sqrt{(6 - 2)^2 + (7 - 1)^2}$
[√Radical] (Parenthesis) Subtract: $\displaystyle d = \sqrt{4^2 + 6^2}$
[√Radical] Evaluate exponents: $\displaystyle d = \sqrt{16 + 36}$
[√Radical] Add: $\displaystyle d = \sqrt{52}$
[√Radical] Simplify: $\displaystyle d = 2\sqrt{13}$

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3 years ago

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Read 2 more answers

Determine the exact values of all three trigonometric functions of the angle 4.25pi

Margarita [4]

Answer:

Sin (4.25π)= 0.7071

Cos(4.25π)= 0.7071

Tan(4.25π)= 1

Step-by-step explanation:

$\pi=180º (half circumference)\\ 2\pi= 360º (complete circumference)\\ 4\pi= 720º (2 complete cincumference\\ 4.25\pi= 720º + 45º (2 complete circumference + 45º)$