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2 years ago

Convert the following standard form linear inequality into slope-intercept form: 2x + 5y ≤ 10

Mathematics

1 answer:

Brums [2.3K]2 years ago

5 0

Answer: x ≤ −5/2 y + 5

Step-by-step explanation:

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Write the equation of the line shown in the graph in slope intercept form

AnnZ [28]

Answer:

y= 4x +3

Step-by-step explanation:

slope= rise over run

y-intercept = where the line hits the y axis

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2 years ago

Determine whether or not F is a conservative vector field. If it is, find a function f such that F = ∇f. (If the vector field is

kodGreya [7K]

We're looking for a scalar function $f(x,y)$ such that $\nabla f(x,y)=\vec F(x,y)$ . That is,

$\dfrac{\partial f}{\partial x}=2x-6y$

$\dfrac{\partial f}{\partial y}=-6x+6y-7$

Integrate the first equation with respect to $x$ :

$f(x,y)=x^2-6xy+g(y)$

Differentiate with respect to $y$ :

$-6x+6y-7=-6x+\dfrac{\mathrm dg}{\mathrm dy}\implies\dfrac{\mathrm dg}{\mathrm dy}=6y-7$

Integrate with respect to $y$ :

$g(y)=3y^2-7y+C$

So $\vec F$ is indeed conservative with the scalar potential function

$f(x,y)=x^2-6xy+3y^2-7y+C$

where $C$ is an arbitrary constant.

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2 years ago

HELPPP WILL MARK BRAINLYIST IF RIGHT

Bingel [31]

Answer:

550.92

Step-by-step explanation:

plz mark brainliest even if im wrong, i really need this, and if im wrong tell me im wrong so I cant correct it

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2 years ago

What is 21 inches to 9 feet in simplest form

Olenka [21]

2.41667, you can also find a converter online.

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2 years ago

Helpppppp pllzzzzzzzzz

fgiga [73]

Answer:

The length of side of largest square is 15 inches

Step-by-step explanation:

The given suares are when joined in the way as shown in picture their sides form a right agnled triangle.

Area of square 1 and perimeter of square 2 will be used to calculate the sides of the triangle.

So,

<u>Area of square 1: 81 square inches</u>

$s^2 = A\\s^2 = 81\\\sqrt{s^2} = \sqrt{81}\\s = 9$

<u>Perimeter of square 2: 48 inches</u>

$4*side = P\\4* side = 48\\side = \frac{48}{4}\\side = 12\ inches$

We can see that a right angled triangle is formed.

Here

Base = 12 inches

Perpendicular = 9 inches

And the side of largest square will be hypotenuse.

Pythagoras theorem can be used to find the length.

$(H)^2 = (P)^2+(B)^2\\H^2 = (9)^2+(12)^2\\H^2 = 81+144\\H^2 = 225\\\sqrt{H^2} = \sqrt{225}\\H = 15$

Hence,

The length of side of largest square is 15 inches

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2 years ago