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3 years ago

What is y=− 2/9 x+2 written in standard form?

Mathematics

1 answer:

quester [9]3 years ago

8 0

Answer:

2x+9y=18

Step-by-step explanation:

Distribute the denominator

y=-2/9x+2

9y=-2x+2

9y+2x=2

im sorry if this is wrong

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Suppose a tub has the shape of an elliptical paraboloid given by z = ax2+by2 (where a, b are some positive constants). If a marb

Umnica [9.8K]

Answer:

It would roll in this direction.

$\nu = (-a/\sqrt{a^2+b^2},-b/\sqrt{a^2+b^2})$

Step-by-step explanation:

It would roll to the direction of maximum decrease, which is the -1 times the direction of maximum increase, which is given by the gradient of the function.

Since

$z = ax^2 + by^2$

For this case, the gradient of your function would be

$\nabla z = (2ax , 2by)$

And -1 times the gradient of your function would be

$-\nabla z = (-2ax , -2by)\\$

Then, at

$(1,1,a+b),\\x = 1 \\y = 1$

So it would go towards

$v = (-2a,-2b)$

The magnitud of that vector is

$|v| = 2\sqrt{a^2+b^2}$

and to conclude it would roll in this direction.

$\nu = (-a/\sqrt{a^2+b^2},-b/\sqrt{a^2+b^2})$

6 0

3 years ago

A shipping container will be used to transport several 140-kilogram crates across the

velikii [3]

Answer:

91.42 crates

Step-by-step explanation:

Let

Greatest Number of 140kg crates = x

weight of crate = 140-kilogram

Weight of other shipment = 13200 kilograms

greatest weight of container = 26000 kilograms

Weight of other shipment + (weight of crate * number of crates) ≤ greatest weight of container

13,200 + 140x ≤ 26,000

140x ≤ 26,000 - 13,200

140x ≤ 12,800

x ≤ 12,800/140

x ≤ 91.42 kilograms

Greatest Number of 140kg crates = 91.42 crates

8 0

3 years ago

4x+5-2=3x+7x-15 I dont get how to get the answer for this please help.

fredd [130]

Hello there! How are you today?

4x + 5 -2 = 3x + 7x - 15

First, we need to get the variable (x) on one side. To do that, we must simplify the right side of the equation, and then decide what to do from there, so let's proceed to do so.

3x + 7x = 10x

4x + 5 - 2= 10x - 15

Now we have x simplified on both sides of the equation. However, we need x to be on one side of the equation in order to solve for it.
Subtract 4x from both sides.

4x - 4x = 0
10x - 4x = 6x

We are now left with:
6x - 15 = 5 - 2

Simplify the right side of the equation.

5 - 2 = 3

6x - 15 = 3

Now we need to isolate x. To isolate x, we need to add 15 to both sides, as x is being subtracted by 15, and adding 15 will cancel it out.

-15 + 15 = 0
3 + 15 = 18

We now are left with:
6x = 18

Now we only have one step left, and that is to solve for x. Since x is being multiplied by 6, we need to perform the opposite order of operations to cancel it out. To do that, we must divide both sides by 6 to solve for x.

6x = 18
Divide both sides by 6.

6x / 6 = x
18 / 6 = 3

We are now left with the solution:

x = 3

I hope this helps!

4 0

3 years ago

F(2) if f(x) = 2x - 5

Licemer1 [7]

Answer:

The answer is 4.

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Can anyone answer this i need real help..

Maslowich

Step-by-step explanation:

ok multiply the denominator by the whole number to get 8 and add it to the numerator to get 11. the denominator stays the same so you get 11/4

8 0

3 years ago