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Natali [406]
3 years ago
11

Three vertices of a rectangle have coordinates (–3, 1), (7,1), and (7, –4). What are the coordinates of the fourth vertex of the

rectangle? A. (–3, –4) B. (–3, –1) C. (7, –3) D. (7, 4)
Mathematics
1 answer:
Vinil7 [7]3 years ago
3 0
You have to match up the sides. So you have two x values of 7, and one of -3, so that suggest that the x value you're looking for is -3. You have two y-values of 1, and one of -4, so i'd say look for a negative four. My answer would be A. (-3,-4)
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Answer:

(a)

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(b)

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(c)

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Step-by-step explanation:

(a)

\mathbf{F}(x,y) = (-10x+7y,7x+6y)

Notice that

\frac{\partial\mathbf{F}_y}{\partial x} = 7

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(b)

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\mathbf{F}(x,y) = (-5y,-4x)

and

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but

\frac{\partial\mathbf{F}_x}{\partial y} = -5

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(c)

Notice that

To prove that the vector field is conservative you have to compute the curl of the vector field and you would get that.

\mathbf{F}(x,y,z) = (-5x,-4y,1)

\nabla \times \mathbf{F} =  (0,0,0)

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4 years ago
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Step-by-step explanation:

7 0
3 years ago
-3x^2+7x=-5<br> I need the steps, I cant find it
yKpoI14uk [10]

Answer:

Step-by-step explanation:

Let's solve your equation step-by-step.

−

3

x

2

+

7

x

=

−

5

Step 1: Subtract -5 from both sides.

−

3

x

2

+

7

x

−

(

−

5

)

=

−

5

−

(

−

5

)

−

3

x

2

+

7

x

+

5

=

0

For this equation: a=-3, b=7, c=5

−

3

x

2

+

7

x

+

5

=

0

Step 2: Use quadratic formula with a=-3, b=7, c=5.

x

=

−

b

±

b

2

−

4

a

c

2

a

x

=

−

(

7

)

±

(

7

)

2

−

4

(

−

3

)

(

5

)

2

(

−

3

)

x

=

−

7

±

109

−

6

x

=

7

6

+

−

1

6

109

or

x

=

7

6

+

1

6

109

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4 years ago
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