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8090 [49]
4 years ago
9

What is the equation of the line, in standard form, that passes through (4, -3) and is parallel to the line whose equation is 4x

+ y - 2 = 0?
answers:
4x - y = 13
4x + y = 13
4x + y = -13
Mathematics
1 answer:
Serggg [28]4 years ago
4 0

Answer:

The equation of this line would be 4x + y = 13

Step-by-step explanation:

In order to find this equation we must first find the slope of the original line. To do this, we solve the original equation for y.

4x + y - 2 = 0

4x + y = 2

y = -4x + 2

The original slope (the coefficient of x) is -4, which means the new slope will also be -4 because parallel lines have the same slope. Now, we can use this slope along with the point in point-slope form to find the equation of the line. Just plug in the numbers and solve for the coefficient.

y - y1 = m(x - x1)

y + 3 = -4(x - 4)

y + 3 = -4x + 16

4x + y + 3 = 16

4x + y = 13

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The minimum or maximum value of a quantity are what are used to maximize or minimize a function.

<em>The method for finding these minimum or maximum value is linear programming.</em>

<em />

Take for instance, the following parameters:

\mathbf{Maximize\ z = 2x + 3y}

Subject to:

\mathbf{2x + y \ge 10}

\mathbf{x - y < 2}

\mathbf{x ,y >0}

The above is an illustration of a linear programming.

It is useful in the following areas:

  • To formulate real life problems
  • To get an optimal solution
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Read more about linear programming at:

brainly.com/question/14225202

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9 x (6+x) = 1

Step-by-step explanation:

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What is the mother land<br><br> A-Mother russia<br><br> B-Morther amica<br><br> C-mother shrek
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3 years ago
If the Mara family drives to Alexandria at a speed of 57 miles per hour, how many miles do they drive in 90 minutes? (Recall: 1
Anettt [7]
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Read 2 more answers
Please show me how you got the answer. Will give brainliest.
umka21 [38]

Answer:          410 possible points

To solve for the possible points in the course, use a proportion and cross multiply.

<h2>What is a proportion?</h2>

A proportion is two fractions that are equal to each other. For the fractions to be equal, they are proportionate. In our math problem, percentage is proportionate the the number of points.

The fractions represent information you have, and one variable will represent what you are solving for.

<h2 /><h3>Given</h3>

Your points = 361

Points to get an 'A' = your points + 8

'A' = 90% of possible points

<h3>Find the points needed for an 'A' at 90%</h3>

Points to get an 'A' = your points + 8

= 361 + 8

= 369

<h3>State variables</h3>

let <em>x</em> be the amount of possible points

<h3 /><h3>Write a proportion</h3>

We know the number of points for 90% is 369 points. Remember that 90% is the same as 90/100.

Keep the information with the same units inside the same fraction. Here, percentage is represented by the first fraction. Points is represented by the second fraction.

\displaystyle{\frac{90}{100}=\frac{369}{x}}

<h3>Solve</h3>

We can solve using cross multiplication. This is when we multiply each numerator by the denominator from the other fraction.

90x = 369*100        Simplify by multiplying.

90x = 36,900            Isolate the variable <em>x</em>.

\displaystyle{\frac{90x}{90} = \frac{36,900}{90}}           Divide both sides by 90 to cancel out 90 on the left.

\displaystyle{x = \frac{36,900}{90}}              Divide.

x = 410                    Solved for <em>x</em>, representing the possible points.

∴ The possible points in the art course is 410.

Learn more about finding a missing number given percentage here: brainly.com/question/26535441

4 0
2 years ago
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