What is the equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (-2, 4)?
O y=
--x-1
Oy=-x+5
O y=-x-1
O y=x+5
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Answer 1

The equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (-2, 4) is y = [tex]-\frac{5}{x} x-1[/tex]

Parallel lines

Parallel lines have the same slope. Therefore, using slope intercept form.

y = mx + b

m = slope

b = y-intercept

Therefore,

5x + 2y = 12

2y = -5x + 12

[tex]y = -\frac{5}{2} x+12[/tex]

The slope of the line is [tex]-\frac{5}{2}[/tex]

Base on parallelism, for the line that passes through (-2, 4)

y = mx + b

4 = [tex]-\frac{5}{2} (-2)+b[/tex]

b = -1

Therefore,

y =

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98 hours long or somewhat

The number of hours to work to pay for the new computer is 111 hours

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

The cost difference between the new and refurbished computer is $800.00 - $640.00 = $160.00. This means that you would save $160.00 by buying the refurbished computer instead of the new one.

Let's say you work for "x" hours, then your gross pay will be:

A = 10x dollars

Your FICA deduction will be 7.65% of your gross pay:

0.0765 ( 10x ) = 0.765x dollars

Your federal tax withholding will be 12% of your gross pay:

0.12 ( 10x ) = 1.2x dollars

Your state tax withholding will be 8% of your gross pay:

0.08 ( 10x ) = 0.8x dollars

The total amount of taxes that will be deducted from your paycheck is the sum of these three amounts:

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So your net pay will be:

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Now, we can calculate the number of hours you would need to work to pay for the new computer:

800 = 7.235x

x ≈ 110.5 hours

Hence , the number of hours is x = 111 hours

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Jace buys 12 bottles of orange juice at the corner store for a total cost of $8.04. If each bottle costs the same amount, how much is each bottle of juice?

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Question 8
1 pts
Solve the problem.
Paul has grades of 68 and 90 on his first two tests. What must he score on his third test in
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Answers

Answer:

At least 52

Step-by-step explanation:

Paul's current average is a 79. It wouldn't be any of the "at most" answers because the question is looking for an average of "at least" 70. And "at least 79" wouldn't be correct because he could get much less than a 79 and still have an overall average of 70. The answer is at least 52. Hope this helps! Good luck.

Solve the following system.
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x=
y=
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Answers

Answer:

x = - 2

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Step-by-step explanation:

z = 9/3

z = 3

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6-5 = y

y = 1

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4x + 3 - 3 = -8

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When we analyze the relationships between different quantities, identify their units of measurement, and convert these quantities for equal comparison, we are using dimensional analysis. Dimensional analysis uses a or conversion factor, to change units of measurement while maintaining the value of the measurement. In a conversion factor, the numerator and equal the same amount, just in different For example, to convert 3 miles into feet, you would 3 miles by a conversion factor created from the units of miles and feet. Because 1 mile equals 5,280 feet, two conversion factors can be created:1 mile or 5,280 feet/1 mileMultiplying any number, such as 3 miles, by either of these does not change the number's over value. To determine which conversion factor we use, we place the unit we do want in the bottom, while we put the unit we want to get rid of on th

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The steps involved in using dimensional analysis for unit conversion is highlighted below :

The question is incomplete, however, from the portion given, we can see that the text is based on using dimensional analysis to convert units of measurement.

We relate our given unit to the desired or expected unit :

From the text:

To convert 3 miles into feets :

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The relationship between Given and desired unit :

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With the unit we want or desire placed at the bottom

To convert a given number of miles to feets ;

Multiply the given value by the relation defined :

Hence,

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3 miles × (5280 feets / 1 mile)

Miles cancels out

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Another example :

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Relationship = (60 seconds / 1 unit)

10 minutes × (60 seconds / 1 minute)

Minute cancels out :

10 × 60 seconds = 600 seconds

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Answer:

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Answer:

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Step-by-step explanation:

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5√10, answer C

Step-by-step explanation:

You can use Pythagoras for this.

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Answers

Answer:

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Step-by-step explanation:

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Hey there!

Answer:

- 21

Step-by-step explanation:

[tex] - 14 + ( - 7) \\ \\ - 14 - 7 \\ \\ - 21[/tex]

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Step-by-step explanation:

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We can set up this problem by making an equation.

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Answers

Answer:

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-2/5 and -1/5

Since -1 > -2

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[tex] \large \mathfrak{Solution : }[/tex]

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Step-by-step explanation:

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Find the equation of the lines perpendicular and parallel to 2x-3y=8 line through the point (-2,-4)

Answers

Answer:

y= -1.5x-7 is the equation of the perpendicular line

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Answers

Answer:

7. M = (-1.5,7)

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Step-by-step explanation:

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2(20)+6

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46

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Step-by-step explanation:

Answer:

Step-by-step explanation: 168 +2d=180

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