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3 years ago

14.) Write an equation of a line with the given slope and y-intercept.

Mathematics

1 answer:

melomori [17]3 years ago

4 0

Answer:

y= x +4

Step-by-step explanation:

m = slope and b= y-intercept.

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How would the sum of cubes formula be used to factor x3y3 + 343? Explain the process. Do not write the factorization.

Svetllana [295]

Answer:

Given : Expression - $x^3y^3+343$

To find : How would the sum of cubes formula be used to factor given expression? Explain the process. Do not write the factorization.

Solution :

The formula of sum of cubes is,

$a^3+b^3=\left(a+b\right)\left(a^2-ab+b^2\right)$

First we convert the given expression in $a^3+b^3$

$x^3y^3+343$

Apply exponent rule : $a^mb^m=(ab)^m$

$x^3y^3=(xy)^3$

Rewrite $343=7^3$

Therefore, $x^3y^3+343$ could be written as $=\left(xy\right)^3+7^3$

On comparison with the formula,

a=xy , b=7

$\left(xy\right)^3+7^3=(xy+7)(xy^2-xy(7)+7^2)$

$\left(xy\right)^3+7^3=(xy+7)((xy)^2-7xy+49)$

5 0

3 years ago

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How do I find the value of x?

Rzqust [24]

To find the value of x , bring the variable to the left side and bring all the remaining values to the right side. simplify the values to find the result.

7 0

3 years ago

3x-12y=216 solve for y fully reduced

Step2247 [10]

3x-12y=216

-3x. -3x

-12y=216-3x

÷-12. ÷-12

Y= -18+1/4x

I think

8 0

3 years ago

Use spherical coordinates. evaluate xyz dv e , where e lies between the spheres ρ = 4 and ρ = 6 and above the cone ϕ = π/3.

sergey [27]

Set

$x=\rho\cos\theta\sin\varphi$

$y=\rho\sin\theta\sin\varphi$

$z=\rho\cos\varphi$

so that the volume element is

$\mathrm dV=\mathrm dx\,\mathrm dy\,\mathrm dz=\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\varphi$

The integral is then

$\displaystyle\iiint_Exyz\,\mathrm dV=\int_{\varphi=0}^{\varphi=\pi/3}\int_{\theta=0}^{\theta=2\pi}\int_{\rho=4}^{\rho=6}\rho^5\cos\theta\sin\theta\sin^3\varphi\cos\varphi\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\rho$

$=\displaystyle\left(\int_0^{\pi/3}\sin^3\varphi\cos\varphi\,\mathrm d\varphi\right)\underbrace{\left(\int_0^{2\pi}\cos\theta\sin\theta\,\mathrm d\theta\right)}_0\left(\int_4^6\rho^5\,\mathrm d\rho\right)$

and so evaluates to 0.

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3 years ago

What is 6times40///////////////////////

andreev551 [17]

Answer:

the answer is 240

5 0

3 years ago

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