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Radda [10]
2 years ago
5

Select all the correct answers.

Mathematics
1 answer:
Ne4ueva [31]2 years ago
4 0

The answers are

5(2x + 1)(3x - 2)

and

-5(-6x^2 + x +2) /  -5(-6x^2 + x +2)

Hope this helps, trust me it's correct.

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What is the slope of the line that passes through the points (9,6) and<br> (5, -8)?
LiRa [457]
Y2-y1
--------
x2-x1

-8-6
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5-9

-14
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-4

= 14/4

= 7/2
4 0
3 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.

6 0
3 years ago
Write a word phrase to represent the algebraic expressions 2x + 4
Yuki888 [10]
When i babysit, i get 4 dollars for showing up, and them 2 dollars for every hour that im there. X=hours
7 0
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If DA = 6 and MD = 4, what is the length of DK?
Leto [7]

Answer:

DK = 9

Step-by-step explanation:

In triangle AMD,

h² = p² + b²

or, h² = 6² + 4²

or, h²= 36 + 16

so, h² = 52

so, AM² = 52

Take x as reference angle,

cos²x = 16/52

Now,

In triangle, AMK,

Taking x as reference angle,

cos²x = b²/h²

cos²x = AM²/MK²

or, cos²x = 52/MK²

Now,

cos²x = 16/52 = 52/MK²

or,

16/52 = 52/MK²

or, 16MK² = 2704

or, MK² = 2704/16

or, MK² = 169

so, MK = 13

Now,

DK = MK - MD

or, DK = 13 - 4

so, DK = 9

3 0
2 years ago
In a candy mix there are 4 green bars for every 3 red bars. How many red bars are there if there are 200 green bars?
UkoKoshka [18]

150 red bars

4/3=200/150

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3 years ago
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