1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
astraxan [27]
3 years ago
6

Whats the y intercept of 7y+3x-21=0

Mathematics
2 answers:
dmitriy555 [2]3 years ago
7 0
7y = -3x +21
y = -3/7x +3
So the y intercept is 3
gladu [14]3 years ago
3 0
It's (0,3)

y intercept means x =0
so when x = 0
<span>7y+3x-21=0
</span><span>7y+3(0)-21=0
7y -21 =0
7y = 21
y =21/7
y =3</span>
You might be interested in
There are 12 boys and 8 girls in a class, including a brother and a sister. If one boy and one girl are selected at random from
kupik [55]

I think the answer is 1/10.

7 0
3 years ago
Kyle is buying a $220 bicycle. If the bicycle is on sale for 35% off, how much will he save? ​
Mrac [35]

Answer:

D

Step-by-step explanation:

Discount = 35% of 220

              = \dfrac{35}{100}*220\\\\= 7 * 11

              = $ 77

Amount saved =$ 77

8 0
2 years ago
Use the Divergence Theorem to evaluate S F · dS, where F(x, y, z) = z2xi + y3 3 + sin z j + (x2z + y2)k and S is the top half of
GenaCL600 [577]

Close off the hemisphere S by attaching to it the disk D of radius 3 centered at the origin in the plane z=0. By the divergence theorem, we have

\displaystyle\iint_{S\cup D}\vec F(x,y,z)\cdot\mathrm d\vec S=\iiint_R\mathrm{div}\vec F(x,y,z)\,\mathrm dV

where R is the interior of the joined surfaces S\cup D.

Compute the divergence of \vec F:

\mathrm{div}\vec F(x,y,z)=\dfrac{\partial(xz^2)}{\partial x}+\dfrac{\partial\left(\frac{y^3}3+\sin z\right)}{\partial y}+\dfrac{\partial(x^2z+y^2)}{\partial k}=z^2+y^2+x^2

Compute the integral of the divergence over R. Easily done by converting to cylindrical or spherical coordinates. I'll do the latter:

\begin{cases}x(\rho,\theta,\varphi)=\rho\cos\theta\sin\varphi\\y(\rho,\theta,\varphi)=\rho\sin\theta\sin\varphi\\z(\rho,\theta,\varphi)=\rho\cos\varphi\end{cases}\implies\begin{cases}x^2+y^2+z^2=\rho^2\\\mathrm dV=\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\varphi\end{cases}

So the volume integral is

\displaystyle\iiint_Rx^2+y^2+z^2\,\mathrm dV=\int_0^{\pi/2}\int_0^{2\pi}\int_0^3\rho^4\sin\varphi\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\varphi=\frac{486\pi}5

From this we need to subtract the contribution of

\displaystyle\iint_D\vec F(x,y,z)\cdot\mathrm d\vec S

that is, the integral of \vec F over the disk, oriented downward. Since z=0 in D, we have

\vec F(x,y,0)=\dfrac{y^3}3\,\vec\jmath+y^2\,\vec k

Parameterize D by

\vec r(u,v)=u\cos v\,\vec\imath+u\sin v\,\vec\jmath

where 0\le u\le 3 and 0\le v\le2\pi. Take the normal vector to be

\dfrac{\partial\vec r}{\partial v}\times\dfrac{\partial\vec r}{\partial u}=-u\,\vec k

Then taking the dot product of \vec F with the normal vector gives

\vec F(x(u,v),y(u,v),0)\cdot(-u\,\vec k)=-y(u,v)^2u=-u^3\sin^2v

So the contribution of integrating \vec F over D is

\displaystyle\int_0^{2\pi}\int_0^3-u^3\sin^2v\,\mathrm du\,\mathrm dv=-\frac{81\pi}4

and the value of the integral we want is

(integral of divergence of <em>F</em>) - (integral over <em>D</em>) = integral over <em>S</em>

==>  486π/5 - (-81π/4) = 2349π/20

5 0
4 years ago
What are the approximate values of the non-integral roots of the polynomial equation?
Nookie1986 [14]

Answer:

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
What function is it when an objective function is maximized.
Leokris [45]

Answer:

Linear Objective Function

7 0
2 years ago
Other questions:
  • HELP ME!!!
    11·1 answer
  • After reading 80\%80% of her e-mails in her inbox, Danette still has MM unread e-mails.
    9·1 answer
  • Find the zeros of the function y=x^2-4x-16 by completing the square. Express your answer in simple redical form. Graph the parab
    6·1 answer
  • How many meters are in 1259 centimeters?
    11·1 answer
  • Evaluate bc1 for b= 8 and c= -4.
    15·1 answer
  • Solve 8.88 = 4.44 (x - 7)
    7·2 answers
  • Evaluate the definite integrals
    14·1 answer
  • X cannot equal 3 on a number line
    10·2 answers
  • The equation of the horizontal line passing through the point (-3, 8) is y = 8. O True O False​
    12·2 answers
  • What is the value of this expression when x=-1 and Y = 2?<br> 4x3y²<br> Mark this and return
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!