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4 years ago

Y=-1/3x-9 in standard form

Mathematics

1 answer:

NemiM [27]4 years ago

3 0

The standard form of a linear equation is Ax + By = C

So the answer is; 1x + 3y = 27

<em>Hope this helped! :)</em>

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After 12 years, a deposit of $10,000 into your college account has earned $6,000 in interest payments. What simple interest rate

babymother [125]

Answer:

Step-by-step explanation:

I = PRT/100 where I = interest, P = initial deposit, R = the rate in %, T = number of years.

So substituting the given values:

6000 = 10000*R* 12/100

10000*12*R = 100*6000

R = 100*6000 / (10000 * 12)

R = 600000/120000

= 5%

3 0

3 years ago

Find the area of the part of the paraboloid z = 9 - x^2 - y^2 that lies above the xy-plane.

svetoff [14.1K]

Parameterize this surface (call it $S$ ) by

$\vec r(u,v)=u\cos v\,\vec\imath+u\sin v\,\vec\jmath+(9-u^2)\,\vec k$

with $0\le u\le3$ and $0\le v\le2\pi$ . Take the normal vector to $S$ to be

$\vec r_u\times\vec r_v=2u^2\cos v\,\vec\imath+2u^2\sin v\,\vec\jmath+u\,\vec k$

Then the area of $S$ is

$\displaystyle\iint_S\mathrm dA=\iint_S\|\vec r_u\times\vec r_v\|\,\mathrm du\,\mathrm dv$

$=\displaystyle\int_0^{2\pi}\int_0^3u\sqrt{1+4u^2}\,\mathrm du\,\mathrm dv$

$=\displaystyle2\pi\int_0^3u\sqrt{1+4u^2}\,\mathrm du=\boxed{\frac{37\sqrt{37}-1}6\pi}$

3 0

4 years ago

Write the following exppresion in exponential form 4.5 x 4.5 x 4.5 x 4.5 x 4.5 x 4.5 x 4.5 x 4.5

Lunna [17]

Answer:

4.5^8

Step-by-step explanation:

4.5 multiplied by its self 8 times

3 0

4 years ago

Antoine is making a banner in the shape of a triangle . He wants to add a decorative border around the edges. How long will the

LekaFEV [45]

The border will have to be 33b - 8

Step-by-step explanation:

Antoine is making a banner in the shape of a triangle

He wants to add a decorative border around the edges
The length of the three sides of the triangle are 9b + 8, 12b - 8 and 12b - 8

We need to find the length of the border

The length of the border is the sum of the lengths of the three sides of the triangle

∵ The length of one side = 9b + 8

∵ The length of another side = 12b - 8

∵ The length of the final side = 12b - 8

- Add the lengths of the 3 sides to find the length of the border

∴ The length of the border = 9b + 8 + 12b - 8 + 12b - 8

- Add like terms

∴ The length of the border = (9b + 12b + 12b) + (8 - 8 - 8)

∴ The length of the border = 33b - 8

The border will have to be 33b - 8

Learn more:

You can learn more about the word problems in brainly.com/question/10557938

#LearnwithBrainly

4 0

4 years ago

What is the numerical coefficient of the linear term of the quadratic equation 3x2 − 9 =0?

babunello [35]

Answer:

Step-by-step explanation:

The numerical coefficient of the linear term of the quadratic equation is 0 because there is no linear term, and 0 times any number or term is 0, or nothing.

7 0

3 years ago