All categories

3 years ago

X²+2xy+y²=144, (x+y)³?

Mathematics

2 answers:

Bumek [7]3 years ago

5 0

Answer:

The value of (x + y)³ is 1728.

Step-by-step explanation:

First, you have to find the value of x + y :

x² + 2xy + y² = 144

x² + xy + xy + y² = 144

x(x + y) + y(x + y) = 144

(x + y)(x + y) = 144

(x + y)² = 144

x + y = √144

x + y = 12

Next, the value of (x + y)³ :

(x + y) = 12³ = 1728

Phantasy [73]3 years ago

4 0

Answer:

(x+y)³=1728

Step-by-step explanation:

(x+y)²=144=12²

(x+y)³=12*12*12=1728

You might be interested in

Use Stokes' Theorem to evaluate S curl F · dS. F(x, y, z) = x2 sin(z)i + y2j + xyk, S is the part of the paraboloid z = 9 − x2 −

Korolek [52]

The vector field

$\vec F(x,y,z)=x^2\sin z\,\vec\imath+y^2\,\vec\jmath+xy\,\vec k$

has curl

$\nabla\times\vec F(x,y,z)=x\,\vec\imath+(x^2\cos z-y)\,\vec\jmath$

Parameterize $S$ by

$\vec s(u,v)=x(u,v)\,\vec\imath+y(u,v)\,\vec\jmath+z(u,v)\,\vec k$

where

$\begin{cases}x(u,v)=u\cos v\\y(u,v)=u\sin v\\z(u,v)=(9-u^2)\end{cases}$

with $0\le u\le3$ and $0\le v\le2\pi$ .

Take the normal vector to $S$ to be

$\dfrac{\partial\vec s}{\partial u}\times\dfrac{\partial\vec s}{\partial v}=2u^2\cos v\,\vec\imath+2u^2\sin v\,\vec\jmath+u\,\vec k$

Then by Stokes' theorem we have

$\displaystyle\int_{\partial S}\vec F\cdot\mathrm d\vec r=\iint_S(\nabla\times\vec F)\cdot\mathrm d\vec S$

$=\displaystyle\int_0^{2\pi}\int_0^3(\nabla\times\vec F)(\vec s(u,v))\cdot\left(\dfrac{\partial\vec s}{\partial u}\times\dfrac{\partial\vec s}{\partial v}\right)\,\mathrm du\,\mathrm dv$

$=\displaystyle\int_0^{2\pi}\int_0^3u^3(2u\cos^3v\sin(u^2-9)+\cos^3v\sin v+2u\sin^3v+\cos v\sin^3v)\,\mathrm du\,\mathrm dv$

which has a value of 0, since each component integral is 0:

$\displaystyle\int_0^{2\pi}\cos^3v\,\mathrm dv=0$

$\displaystyle\int_0^{2\pi}\sin v\cos^3v\,\mathrm dv=0$

$\displaystyle\int_0^{2\pi}\sin^3v\,\mathrm dv=0$

$\displaystyle\int_0^{2\pi}\cos v\sin^3v\,\mathrm dv=0$

4 0

3 years ago

Helpp please

telo118 [61]

Answer:

Step-by-step explanation:

12*3=36

36 of 1/3 feet of yarn

7 0

3 years ago

Read 2 more answers

Please help I'm stuck

ss7ja [257]

Answer:

I'm stuck to.

Step-by-step explanation:

is there suppose to be an angle or a triangle?

4 0

3 years ago

Find the measure of angle x. Round your answer to the nearest hundredth. (please type the numerical answer only)

denis23 [38]

The measure of the angle x to the nearest hundredth is 22.62 degrees.

<h3>How to find the measure of an angle in a right triangle?</h3>

A right triangle is a triangle that has one of its angles as 90 degrees.

Therefore, the sides or angles can be found using trigonometric ratios, depending on the parameters given.

Hence, using trigonometric ratios,

cos x° = adjacent / hypotenuse

Therefore,

hypotenuse = 13 units

adjacent side = 12 units

Thus,

cos x = 12 / 13

cos x = 0.92307692307

x = cos ⁻¹ 0.92307692307

x = cos¹ 0.92307692307

x = 22.619864948

x = 22.62 degrees

Therefore, the measure of the angle x to the nearest hundredth is 22.62 degrees.

learn more on right triangle here: brainly.com/question/27996575

#SPJ1

7 0

2 years ago

Two neon lights are turned on at the same time. One blinks every 4 seconds and the other blinks every 6 seconds. In 60 seconds,

lina2011 [118]

4 will blink 15 times and 6 will blink 10. together they will blink 25 times

4 0

4 years ago

Read 2 more answers

X²+2xy+y²=144, (x+y)³?​

X²+2xy+y²=144, (x+y)³?