2 years ago

What is the ratio of the radius of a circle to its circumference

Mathematics

1 answer:

maksim [4K]2 years ago

5 0

ANSWER:

r : 2 ( Pi ) r

Hope this helps! <3

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Does the data below describe a linear, quadratic, or exponential function?

laiz [17]

Answer:

Linear

Step-by-step explanation:

all values for y have a constant difference of -4.

That makes it linear due to a constant difference

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2 years ago

Evaluate the line integral, where c is the given curve. (x + 9y) dx + x2 dy, c c consists of line segments from (0, 0) to (9, 1)

viktelen [127]

$\displaystyle\int_C(x+9y)\,\mathrm dx+x^2\,\mathrm dy=\int_C\langle x+9y,x^2\rangle\cdot\underbrace{\langle\mathrm dx,\mathrm dy\rangle}_{\mathrm d\mathbf r}$

The first line segment can be parameterized by $\mathbf r_1(t)=\langle0,0\rangle(1-t)+\langle9,1\rangle t=\langle9t,t\rangle$ with $0\le t\le1$ . Denote this first segment by $C_1$ . Then

$\displaystyle\int_{C_1}\langle x+9y,x^2\rangle\cdot\mathbf dr_1=\int_{t=0}^{t=1}\langle9t+9t,81t^2\rangle\cdot\langle9,1\rangle\,\mathrm dt$
$=\displaystyle\int_0^1(162t+81t^2)\,\mathrm dt$
$=108$

The second line segment ( $C_2$ ) can be described by $\mathbf r_2(t)=\langle9,1\rangle(1-t)+\langle10,0\rangle t=\langle9+t,1-t\rangle$ , again with $0\le t\le1$ . Then

$\displaystyle\int_{C_2}\langle x+9y,x^2\rangle\cdot\mathrm d\mathbf r_2=\int_{t=0}^{t=1}\langle9+t+9-9t,(9+t)^2\rangle\cdot\langle1,-1\rangle\,\mathrm dt$
$=\displaystyle\int_0^1(18-8t-(9+t)^2)\,\mathrm dt$
$=-\dfrac{229}3$

Finally,

$\displaystyle\int_C(x+9y)\,\mathrm dx+x^2\,\mathrm dy=108-\dfrac{229}3=\dfrac{95}3$

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3 years ago

The table below represents a linear relationship.

Ede4ka [16]

Answer:i think it 3

Step-by-step explanation:

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2 years ago

Need help due today will give brainiest and the first of a string of questions just like this one PLZ SHOW WORK NEEDED TO TURN I

sleet_krkn [62]

Answer:

Sorry bro you are going to get it

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2 years ago

What would be the second step in solving the equation y−16=3y?

stiv31 [10]

Answer:

Divide both sides by 4

Step-by-step explanation:

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2 years ago

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