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Aneli [31]
3 years ago
6

Find the length of the arc. Round your answer to the nearest tenth.

Mathematics
1 answer:
cricket20 [7]3 years ago
5 0

Step-by-step explanation:

length of an arc = teeta. ×2πr

360

<u>135°</u><u> </u> ×2×<u>22</u>×19

360. 7

<u>112860</u>

2520

44.79

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What's the slope and y-intercept of the equation 3x + 4y = 8?
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Answer:

Slope = -3/4

y-intercept = 2

Step-by-step explanation:

3x+4y = 8\\\therefore 4y = -3x +8\\\therefore y = \frac{-3}{4}x+ \frac{8}{4}\\\therefore y = \frac{-3}{4}x+2\\Equating \: it \: with\: \\y=mx+b\\Slope\:(m) = \frac{-3}{4}\\y-intercept\:(b) = 2

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Which expression is equivalent to m^2-13m-30?
sergiy2304 [10]

Answer: First option

Step-by-step explanation:

You have the quadratic equation given in the problem:

m^2-13m-30

To find an equivalent expression you cacn factorize. Find two numbers whose sum is -13 and whose product is -30.

These numbers would be -15 and 2.

Therfore, you obtain the following equivalent expression:

(m-15)(m+2)

If you don't want to apply the method above, you can use the quadratic formula:

x=\frac{-b+/-\sqrt{b^2-4ac}}{2a}

Where:

a=1\\b=-13\\c=-30

When you susbstitute values you obtain that:

x=15\\x=-2

Then you can rewrite the equation as (m-15)(m+2)

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The graph of a linear function passes through the points (-1, -1/4) and (1, -3/4). Which equation represents the function ?
lyudmila [28]

The equation of the line will be given as y = -4x - (- 17/ 4).

<h3>What is an equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.


Given that:-

  • The graph of a linear function passes through the points (-1, -1/4) and (1, -3/4).

The equation of the line will be given as:-

y  -  y₁ = m ( x  -  x₁)

slope m will be calculated as:-

m =\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{1+1}{\dfrac{-3}{4}+\dfrac{1}{4}}=-4

The equation will be:-

y  -  (1/4)  =  -4( x +  1 )

y  = -4x  -  (17/4)

Therefore the equation of the line will be given as y = -4x - (- 17/ 4).

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brainly.com/question/2972832

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