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2 years ago

Convert from radian measure to degree measure: 3pi

Mathematics

2 answers:

GenaCL600 [577]2 years ago

6 0

There are 2 PI radians in 360 degrees, so 3 PI radians = 1.5 circles = 360 + 180 = 540 degrees

PolarNik [594]2 years ago

3 0

To convert from radians to degrees, always multiply by 180/pi

3pi*180/pi
The pi's cancel out and you are left with 3*180 or 540°

Hope this helps

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Equation of the line contains the points (-3,2) and (5,-5)

makkiz [27]

For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

$y = mx + b$

Where:

m: It is the slope of the line

b: It is the cut-off point with the y axis

We have the following points through which the line passes:

$(x_ {1}, y_ {1}): (- 3,2)\\(x_ {2}, y_ {2}) :( 5, -5)$

So the slope is:

$m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {-5-2} {5 - (- 3)} = \frac {-7} {5 + 3} = - \frac {7} {8}$

Thus, the equation of the line is of the form:

$y = - \frac {7} {8} x + b$

We substitute one of the points and find "b":

$2 = - \frac {7} {8} (- 3) + b\\2 = \frac {21} {8} + b\\b = 2- \frac {21} {8}\\b = \frac {16-21} {8}\\b = - \frac {5} {8}$

Finally, the equation is:

$y = - \frac {7} {8} x- \frac {5} {8}$

Answer:

$y = - \frac {7} {8} x- \frac {5} {8}$

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2 years ago

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Step-by-step explanation:

Given

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This gives:

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$m = \frac{-8}{- 1}$

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The slope of g(x) can be gotten using the following comparison

$g(x) = mx + b$

$m \to slope$

So:

$g(x) = 3x -2$

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From the table of f(x)

$f(0) = -1$

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