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Minchanka [31]
3 years ago
12

The equation of a line is given by 4x-3y=12.How do you solve for x

Mathematics
1 answer:
maria [59]3 years ago
5 0

Simplifying

4x + -3y = 12

Solving

4x + -3y = 12

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3y' to each side of the equation.

4x + -3y + 3y = 12 + 3y

Combine like terms: -3y + 3y = 0

4x + 0 = 12 + 3y

4x = 12 + 3y

Divide each side by '4'.

x = 3 + 0.75y

Simplifying

x = 3 + 0.75y

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Mrrafil [7]
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5 0
2 years ago
A duck has 1,100 feathers. It went for a swim in a pond and lost 2/100 of its feathers. How many feathers did it lose?
svetlana [45]

Answer:

It lost 22 feathers.

Step-by-step explanation:

To complete this problem, this expression will be used: 2x/100.

2(1100)/100 {Multiply 2 by 1100}

2200/100 {Simplify by cancelling out 100}

22/1 {Divide}

22 feathers were lost.

3 0
3 years ago
Andrew claims the initial value and y - intercept are the same thing on a graph. Is he correct?
Agata [3.3K]

Answer:

We conclude that the initial value and y-intercept are the same thing on a graph.

Please check the attached graph of the equation y = 2x+1.

Step-by-step explanation:

We know that the initial value on a graph is basically the out-put value y of the point where the line meets or crosses the y-axis.

In other words, the initial value is the y-value or output of the point at x = 0

For example,

Let the equation

y = 2x+1

substitute x = 0

y = 2(0)+1

y = 0+1

y = 1

Thus, the initial value of the equation y = 2x+1 is: y = 1

Please check the attached graph of the equation y = 2x+1.

It is clear from the graph that at x = 0, the value of y = 1.

Thus, at y = 1, the line meets the y-axis.

Hence, the initial value of the line is: y = 1

Similarly, we know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

For example,

Let the equation

y = 2x+1

substitute x = 0

y = 2(0)+1

y = 0+1

y = 1

Thus, the y-intercept of y = 2x+1 is y = 1.

Please check the attached graph of the equation y = 2x+1.

It is clear from the graph that at x = 0, the value of y = 1.

Therefore, the y-intercept of y = 2x+1 is y = 1.

Conclusion:

Therefore, we conclude that the initial value and y-intercept are the same thing on a graph.

Please check the attached graph of the equation y = 2x+1.

6 0
3 years ago
Which is an equation in point-slope form for the given point and slope?
Akimi4 [234]

Answer:

The answer to your question is the letter D. (step 2)

Step-by-step explanation:

Data

P (7, 4) slope = 6

Process

1.- Write the equation of the line

          y - y1 = m(x - x1)

   x1 = 7    y1 = 4

2.- Substitution

          y - 4 = 6(x - 7)

- Simplification

         y - 4 = 6x - 42

- Solve for y

         y = 6x - 42 + 4

         y = 6x - 38        This is the equation in the point-slope form

3.- According to the choices the answer is letter D.

7 0
3 years ago
Suppose that YM has a length of 12in and its distance from point L is 5in find the radius of circle L to the nearest tenth
Mashcka [7]
The answer would be b
7 0
3 years ago
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