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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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Answer:4

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7 0
2 years ago
Write an exponential function in the form y=ab^xy=ab x that goes through points (0, 20)(0,20) and (6, 1280)(6,1280).
Phoenix [80]

Answer:

y=20(2)^x

Step-by-step explanation:

We want to write an exponential function that goes through the points (0, 20) and (6, 1280).

The standard exponential function is given by:

y=ab^x

The point (0, 20) tells us that <em>y</em> = 20 when <em>x</em> = 0. Hence:

20=a(b)^0

Simplify:

20=a(1)\Rightarrow a=20

So, our exponential function is now:

y=20(b)^x

Next, the point (6, 1280) tells us that <em>y</em> = 1280 when <em>x</em> = 6. Thus:

1280=20(b)^6

Solve for <em>b</em>. Divide both sides by 20:

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Hence, our function is:

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8 0
3 years ago
1) Complete the following items dealing with sets.
Ivanshal [37]
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3 years ago
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X = integer one
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x = 12y + 4

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Solve the system of equations
8 0
3 years ago
Read 2 more answers
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