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2 years ago

Given:

Mathematics

1 answer:

Molodets [167]2 years ago

5 0

Answer:

Third one

<1 = <4 and <2 = <3

Step-by-step explanation:

When two parallel lines form a Z shape, we call the angles at the vertices of Z to be alternate interior angles, which are equal

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İn the system equations above, n is a constant. İf the system has no solution, what is the value of n

jarptica [38.1K]

Answer:

n = - 6

Step-by-step explanation:

Given is the system of linear equations:

nx + 3y = 6
12x - 6y = 0

Convert both equations into slope intercept form:

nx + 3y = 6 ⇒ 3y = - nx + 6 ⇒ y = - 1/3nx + 2
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The system has no solution if lines have equal slopes with different y-intercepts:

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2 years ago

Find the distance round to the nearest tenth (-8, -6) (-3,-2)

lina2011 [118]

Answer:

$\displaystyle d \approx 6.4$

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

Point (-8, -6)

Point (-3, -2)

Step 2: Find distance d

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

Substitute in points [Distance Formula]: $\displaystyle d = \sqrt{(-3+8)^2+(-2+6)^2}$
[√Radical] (Parenthesis) Add: $\displaystyle d = \sqrt{(5)^2+(4)^2}$
[√Radical] Evaluate exponents: $\displaystyle d = \sqrt{25+16}$
[√Radical] Add: $\displaystyle d = \sqrt{41}$
[√Radical] Evaluate: $\displaystyle d = 6.40312$
Round: $\displaystyle d \approx 6.4$

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2 years ago

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