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3 years ago

11

Convert 2,000 cm to kilometers. * fraction form *

1 answer:

Ad libitum [116K]3 years ago

7 0

Answer:

1/50

Step-by-step explanation:

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Suppose z equals f (x comma y ), where x (u comma v )space equals space 2 u plus space v squared, y (u comma v )space equals spa

barxatty [35]

$z=f(x(u,v),y(u,v)),\begin{cases}x(u,v)=2u+v^2\\y(u,v)=3u-v\end{cases}$

We're given that $f_x(6,1)=3$ and $f_y(6,1)=-1$ , and want to find $\frac{\partial z}{\partial v}(1,2)$ .

By the chain rule, we have

$\dfrac{\partial z}{\partial v}=\dfrac{\partial z}{\partial x}\dfrac{\partial x}{\partial v}+\dfrac{\partial z}{\partial y}\dfrac{\partial y}{\partial v}$

and

$\dfrac{\partial x}{\partial v}=2v$

$\dfrac{\partial y}{\partial v}=-1$

Then

$\dfrac{\partial z}{\partial v}(1,2)=\dfrac{\partial z}{\partial x}(6,1)\dfrac{\partial x}{\partial v}(1,2)+\dfrac{\partial z}{\partial y}(6,1)\dfrac{\partial y}{\partial v}(1,2)$

(because the point $(x,y)=(6,1)$ corresponds to $(u,v)=(1,2)$ )

$\implies\dfrac{\partial z}{\partial v}(1,2)=3\cdot2\cdot2+(-1)\cdot(-1)=\boxed{13}$

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3 years ago

Please help! I can't find any tutorial videos

Lena [83]

The two horizontal lines are parallel ( This is given by the red triangles)

Because the lines are parallel, the two angles 1 & 2 would be the same.

Set the two equations for the angle to equal each other and solve:

8y-6 = 7y

Add 6 to each side:

8y = 7y+6

Subtract 7y from each side:

y = 6

Now you have the value for y, solve for angle 2 by replacing y with 6:

Angle 2 = 7y = 7(6) = 42 degrees.

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3 years ago

Find the length of side x in simplest radical form with a rational denominator.

IRINA_888 [86]

Answer: 10√3 / 3

Step-by-step explanation:

cos 30 = 5 / x

x = 5 / cos 30

= 5 / √3 / 2

= 10 √3

= 10√3 / 3

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3 years ago

Which pair of triangles appear to be congruent? check all that apply

Ratling [72]

All three sides are the same size

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3 years ago

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Will give brainliest answer

Fiesta28 [93]

Answer:

$153.86 \: {units}^{2}$

Step-by-step explanation:

$area = \pi {r}^{2} \\ = 3.14 \times 7 \times 7 \\ = 3.14 \times 49 \\ = 153.86 \: {units}^{2}$

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3 years ago

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