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oksian1 [2.3K]
3 years ago
5

If a line has a slope of 3 and goes through the point (-6,4) write the equation of the line in standard form

Mathematics
1 answer:
Effectus [21]3 years ago
5 0

Answer:

<em>- 3x + y = 22</em>

Step-by-step explanation:

<u>Equation of the line</u>

There are several forms to write the equation of a line.

The point-slope form of the equation of a line is:

y - k = m ( x - h )

Where m is the slope and (h,k) is a point through which the line passes.

The standard form of the equation of a line is:

Ax + By = C

We are given the slope m=3 and the point (-6,4). Substituting into the first equation:

y - 4 = 3 ( x + 6 )

Operating:

y - 4 = 3x + 18

Adding 4:

y = 3x + 18 + 4

Subtracting 3x, we get the standard form:

- 3x + y = 22

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GrogVix [38]

Answer:

y = (1/12)x^2

Step-by-step explanation:

The vertex of this parabola is halfway between (0, 3) and the directrix, y = -3; that is, it's at (0, 0).

The applicable equation for this vertical parabola is 4py = x^2, where p is the distance between the vertex and the focus.  Here that distance is p = 3.

Thus, 4py = x^2 becomes 4(3)y = x^2, or 12y = x^2, or y = (1/12)x^2.

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3 years ago
180 divided into two parts, one part will be 3 times the other part. What is the larger part
Mila [183]
3n + n = 180
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3 years ago
The figure shown below is a rhombus. Give the angle value (numerical, not the letters.
Rzqust [24]

Answer:

90 deg

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Hence angle PXM is 90 deg

6 0
3 years ago
Read 2 more answers
9.
Yanka [14]
I’m not sure if I get the question, but the second one would be a fact and the others are all statements. I hope this helps :)
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3 years ago
Which point on the number line is located at approximately 13/17
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A number line consists only of one axis, conventionally a horizontal axis. Just create a line, and scale it according to practicality and your preference. Usually, it has an interval of 1 unit. But for this case, since it is in fraction form, the interval should be smaller so that you can see clearly where it is located. 

In decimal form, 13/17 is equal to 0.7647058824. Let's just round this off to 0.764, that can suffice already. So, you would expect it to be between 0.7 and 0.8 on the number line. Just estimate visually where it is located. Since, it is more than 0.75, the dot would be just slightly closer to 0.8 than 0.7. The exact location is shown in the attached picture.

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