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3 years ago

Quadrilateral with no parallel sides

Mathematics

1 answer:

taurus [48]3 years ago

4 0

Answer:

The answer is a trapezoid.

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Find the directional derivative of the function at the given point in the direction of the vector v. f(x, y, z) = xyz , (3, 3, 9

Anna [14]

The derivative of $f(x,y,z)$ in the direction of a vector $\mathbf u$ is

$\nabla_{\mathbf u}f=\nabla f\cdot\dfrac{\mathbf u}{\|\mathbf u\|}$

With $f(x,y,z)=xyz$ , we get

$\nabla f=(yz,xz,xy)$

and $\mathbf u=(-1,-2,2)$ ,

$\|\mathbf u\|=\sqrt{(-1)^2+(-2)^2+2^2}=3$

Then

$\nabla_{(-1,-2,2)}f(3,3,9)=(27,27,9)\cdot\dfrac{(-1,-2,2)}3=-21$

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3 years ago

PLEASE I need help on these 4 problems you don’t have to do them all but if you can at least do one of them TYSM

Brrunno [24]

Answer:

For right angle triangle,

we use Pythagoras theorem that is:

$c^{2} =a^{2} +b^{2}$

c = $\sqrt{a^{2} +b^{2} }$

For question 1:

c = ?

a = 40

b = 9

putting them in formula,

c = $\sqrt{40^{2} + 9^{2} }$

c = 41

For question 2:

c = ?

a = 12

b = 13

putting them in formula,

c = $\sqrt{12^{2} + 13^{2} }$

c = approximately 17.69181

For question 3:

c = 35

a = 20

b = ?

putting them in formula,

$c^{2} =a^{2} +b^{2}$

$35^{2} = 20^{2} + b^{2}$

1225 = 400 + $b^{2}$

$b^{2}$ = 1225 - 400

$b^{2}$ = 825

$\sqrt{b^{2} } = \sqrt{825}$

b = 5 $\sqrt{33}$

For question 4:

c = 37

a = 20

b = ?

putting them in formula,

$c^{2} =a^{2} +b^{2}$

$37^{2} = 20^{2} + b^{2}$

1369 = 400 + $b^{2}$

$b^{2}$ = 1369 - 400

$b^{2}$ = 969

Taking square root on both sides

b = 31.12

Hope it helps.

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3 years ago

The volume of the rectangular solid below is 1,440 cubic inches. What could be the length and width of this rectangular solid?

Rudik [331]

C. 8 inches by 20 inches

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Johnny walks 3600 feet in 9 minutes. How many miles does he walk per minute?

worty [1.4K]

Answer:

0.075758 miles per minute

Step-by-step explanation:

3600 divided by 9 = 400

400 ft = 0.075758 miles

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4 years ago

Write an equation in slope-intercept form for the line with slope and -intercept .

Mazyrski [523]

Answer:

y = $\frac{2}{5}$ x - 9

Step-by-step explanation:

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3 years ago