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3 years ago

Write the expression in factored form. 81m^2-49

Mathematics

1 answer:

ivolga24 [154]3 years ago

5 0

We can use the difference of two squares, which is:

x^2 + y^2 = (x-y)(x+y)

So,

(9m-7)(9m+7)

Hope this helps!

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Let w = x2 + y2 + z2, x = uv, y = u cos(v), z = u sin(v). use the chain rule to find ∂w ∂u when (u, v) = (9, 0).

jasenka [17]

By the chain rule,

$\dfrac{\partial w}{\partial u}=\dfrac{\partial w}{\partial x}\cdot\dfrac{\partial x}{\partial u}+\dfrac{\partial w}{\partial y}\cdot\dfrac{\partial y}{\partial u}+\dfrac{\partial w}{\partial z}\cdot\dfrac{\partial z}{\partial u}$
$\dfrac{\partial w}{\partial u}=2xv+2y\cos v+2z\sin v$

We also have $x(9,0)=0$ , $y(9,0)=9$ , and $z(9,0)=0$ , so at this point we get

$\dfrac{\partial w}{\partial u}(9,0)=2\cdot9\cdot\cos0=18$

7 0

3 years ago

Find the median of the given data if the mean is 4.5.5,7,7,8,x,5,4,3

timama [110]

Find the median of the given data. If the mean is 4.5...

5, 7, 7, 8,x,5,4,3 = x, 3, 4, 5, 5, 7, 7, 8

The median is 5. For the second part... The question is incomplete... “If the mean is 4.5...” Also, I have no idea if x should have been added or not. Even if it was, it doesn’t change the answer.

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3 years ago

I need help please provide with the correct answer. it is due at 11:59 pm

expeople1 [14]

I think the answer is d

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2 years ago

For F (x) =3x+5 Evaluate f (0)

Slav-nsk [51]

F(0)= 5 because 3(0) is the same as 0 and you add 5 so f(0)= 5

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3 years ago

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The Capulet and Montague families love writing. Last year, each Capulet wrote 4 essays, each Montague wrote 6 essays, and both f

Eduardwww [97]

Answer:

Infinite solution

Step-by-step explanation:

Let, number of Capulet family = x and number of Montague family = y.

Since, last year, each Capulet wrote 4 essays and each Montague wrote 6 essays.

Moreover, total essays wrote last year are 100.

So, we get, 4x + 6y = 100.

Again, this year, each Capulet wrote 8 essays and each Montague wrote 12 essays.

Moreover, total essays wrote this year are 200.

So, we get, 8x + 12y = 200.

Thus, the system of equations is given by,

4x + 6y = 100.

8x + 12y = 200.

Dividing first equation by 2 and second equation by 4, we get the equation,

2x + 3y = 50.

Since, there is only one equation and two variables i.e. x and y.

There can be infinite number of possibilities for the values of x and y.

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3 years ago

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