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2 years ago

6

The components of vector are given as follows: ax = +6.1 ay = -8.6 the angle measured counterclockwise from the x-axis to vector

, in degrees, is closest to:

1 answer:

r-ruslan [8.4K]2 years ago

8 0

The tangent of the angle is

... tan(α) = ay/ax = -8.6/6.1

Then the angle (measured CCW from +x) is

... α = arctan(-86/61) ≈ 305°

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Two mechanics worked on a car. The first mechanic worked for 5

ArbitrLikvidat [17]

<u>Answer:</u>

$50 and $115

<u>Step-by-step explanation:</u>

We know that,

the sum of the two rates = $165 per hour

Let x and (165 - x) represent the $/hour of the 15hr and 5hr mechanics respectively.

Then combining their charges together to get:

$(x*15)hour+(165-x)*5 hour=1325$

Solving for x to get:

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Step-by-step explanation:

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2 years ago

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4. What value of x makes the inequality true?<br> 3(2x - 1) - 11x S -3x + 5

NNADVOKAT [17]

Answer:

A. {x: x ≥ -4}

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Distributive Property

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality<u> </u>

<u>Algebra I</u>

Terms/Coefficients
{Builder Set Notation}

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

3(2x - 1) - 11x ≤ -3x + 5

<u>Step 2: Solve for </u><em><u>x</u></em>

[Distributive Property Distribute 3: 6x - 3 - 11x ≤ -3x + 5
[Subtraction] Combine like terms: -5x - 3 ≤ -3x + 5
[Addition Property of Equality] Add 5x on both sides: -3 ≤ 2x + 5
[Subtraction Property of Equality] Subtract 5 on both sides: -8 ≤ 2x
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2 years ago

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Butoxors [25]

Answer:

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Step-by-step explanation:

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2 years ago

What is the equation that goes through (4,5) and is parallel to y=2x+1

forsale [732]

Answer:

The equation would be y = 2x - 3

Step-by-step explanation:

To start, we need to note that they will have the same slope, since parallel lines have the same slope. Then, we can use the point-slope form to find the equation.

y - y1 = m(x - x1)

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3 years ago