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OverLord2011 [107]
3 years ago
8

Simplify: 2ab+2/2ab-2 a=1 and b=3

Mathematics
2 answers:
Mila [183]3 years ago
6 0
2(1)(3)+2/2(1)(3)-2=0
Nadusha1986 [10]3 years ago
3 0

Answer:

2

Step-by-step explanation:

a=1 and b=3

\frac{2ab+2}{2ab-2}

\frac{2(1)(3)+2}{2(1)(3)-2}

\frac{6+2}{6-2}

\frac{8}{4} =\frac{2}{1} =2

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How to solve 3x / 4 = 8
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Multiply each side of the equation by  4/3 .
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You bought 34 pound of dry ice for an experiment. When the experiment was over, you found that you had used only 13 of what you
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3 years ago
You are given the parametric equations x=2cos(θ),y=sin(2θ). (a) List all of the points (x,y) where the tangent line is horizonta
vladimir1956 [14]

Answer:

The solutions listed from the smallest to the greatest are:

x:  -\sqrt{2}   -\sqrt{2}  \sqrt{2}  \sqrt{2}

y:      -1         1     -1     1

Step-by-step explanation:

The slope of the tangent line at a point of the curve is:

m = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }

m = -\frac{\cos 2\theta}{\sin \theta}

The tangent line is horizontal when m = 0. Then:

\cos 2\theta = 0

2\theta = \cos^{-1}0

\theta = \frac{1}{2}\cdot \cos^{-1} 0

\theta = \frac{1}{2}\cdot \left(\frac{\pi}{2}+i\cdot \pi \right), for all i \in \mathbb{N}_{O}

\theta = \frac{\pi}{4} + i\cdot \frac{\pi}{2}, for all i \in \mathbb{N}_{O}

The first four solutions are:

x:   \sqrt{2}   -\sqrt{2}  -\sqrt{2}  \sqrt{2}

y:     1        -1        1     -1

The solutions listed from the smallest to the greatest are:

x:  -\sqrt{2}   -\sqrt{2}  \sqrt{2}  \sqrt{2}

y:      -1         1     -1     1

6 0
3 years ago
Which point is part of the solution of the inequality y 2 12x – 11.
Papessa [141]

Answer:

Point (0,0)

Step-by-step explanation:

Given the inequality y > 12x – 11.

We will check which of the given options will be applied for the inequality

A) (1,0)

Substitute with x = 1 and y = 0

0 > 12*1 - 11

0 > 1   ⇒ Wrong

So, Point (1,0) is not part of the solution of the inequality.

B) (3,2)

Substitute with x = 3 and y = 2

2 > 12*3 - 11

0 > 25  ⇒ Wrong

So, Point (3,2) is not part of the solution of the inequality.

C) (1,1)

Substitute with x = 1 and y = 1

1 > 12*1 - 11

1 > 1   ⇒ Wrong

So, Point (1,1) is not part of the solution of the inequality.

D) (0,0)

Substitute with x = 1 and y = 0

0 > 12*0 - 11

0 > -11  ⇒ True

So, Point (0,0) is part of the solution of the inequality.

Also, see the attached figure which represents the given inequality

The shaded area represents the solution of the inequality, and we can note that point (0,0) is part of the solution of the inequality

5 0
3 years ago
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