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pentagon [3]
2 years ago
15

Can I get help please?

Mathematics
1 answer:
Annette [7]2 years ago
6 0

Answer:

x = 1/4, y = 1/2

Step-by-step explanation:

First we can solve for y in each equation.

3x - 1/4 = y

y = 1/2(x) + 3/8

This means 3x - 1/4 = 1/2(x) + 3/8.

Simplifying, we get 5/2(x) = 5/8. This means x = 1/4. Now, we plug in x = 1/4 into the first equation to get

3(1/4) - 1/4 = y

3/4 - 1/4 = y

y = 2/4 = 1/2

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Suppose that surface σ is parameterized by r(u,v)=⟨ucos(3v),usin(3v),v⟩, 0≤u≤7 and 0≤v≤2π3 and f(x,y,z)=x2+y2+z2. Set up the sur
Bad White [126]

Looks like you have most of the details already, but you're missing one crucial piece.

\sigma is parameterized by

\vec r(u,v)=\langle u\cos3v,u\sin3v,v\rangle

for 0\le u\le7 and 0\le v\le\frac{2\pi}3, and a normal vector to this surface is

\dfrac{\partial\vec r}{\partial u}\times\dfrac{\partial\vec r}{\partial v}=\left\langle\sin3v,-\cos3v,3u\right\rangle

with norm

\left\|\dfrac{\partial\vec r}{\partial u}\times\dfrac{\partial\vec r}{\partial v}\right\|=\sqrt{\sin^23v+(-\cos3v)^2+(3u)^2}=\sqrt{9u^2+1}

So the integral of f(x,y,z)=x^2+y^2+z^2 is

\displaystyle\iint_\sigma f(x,y,z)\,\mathrm dA=\boxed{\int_0^{2\pi/3}\int_0^7(u^2+v^2)\sqrt{9u^2+1}\,\mathrm du\,\mathrm dv}

6 0
2 years ago
Simplify. (2/5)^4... words to fill in minimum space
Stella [2.4K]
When you have a power to a fraction, you simply take it by the top and then by the bottm.

So, split it into two: (2)^4 and (5)^4

Solve: (2)^4=16
(5)^4=625

So the fraction is: 16/625

Check to see if it reduces: It doesn't. (Odd and even numbers that have no common multiples).

Therefore, that's the answer.
3 0
3 years ago
What is (14,-12) translated 6 units left
marissa [1.9K]
Going to the right or left when doing translation effects the x coordinate. In this case, the x coordinate is 14. Since we are moving 6 units to the left, we must subtract 6 from 14. Moving to the left is negative and moving to the right is positive.

14 - 6 = 8

The answer is (8,-12)
7 0
3 years ago
Pls help! Asap brainliest to helpful answers
riadik2000 [5.3K]

Answer:

125

Step-by-step explanation:

3 0
2 years ago
As an estimation we are told £3 is €4. <br> Convert £22.50 to euros.
Talja [164]

Answer:

€16.875 is the answer

Step-by-step explanation:

£22.50/3*100

=16.875

5 0
2 years ago
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