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Licemer1 [7]
3 years ago
9

Which graph shows the solution to the system of linear inequalities below? Y>-1/3x+2. Y>2x-3

Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
4 0
<h2>Answer:</h2>

The graph that shows the solution to the system of linear inequalities is:

                        Graph D.

<h2>Step-by-step explanation:</h2>

We are given first inequality as:

              y>\dfrac{-1}{3}x+2

The graph of this inequality is a dotted straight line( since the inequality is strict) that passes through (6,0) and (0,2) with shaded region away from the origin ( since it fails zero test)

Second inequality is given by:

              y>2x-3

The graph of this inequality is a dotted straight line( since the inequality is strict) that passes through (3/2,0) and (0,-3) with shaded region away towards the origin ( since it passes zero test)

On plotting it's graph we get the solution.

          Hence, the solution is represented by:

                  Graph D

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Answer:

The center of the circle is

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Step-by-step explanation:

Let the equation of the circle be

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The points lying the circle must satisfy the equation of this circle.

A(0,0)

We substitute this point to get;

0^2+0^2+2a(0)+2b(0)+c=0

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B(-3,0)

(-3)^2+0^2+2a(-3)+2b(0)+c=0

\implies 9+0-6a+0+c=0

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But c=0

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C(1,2)

1^2+2^2+2a(1)+2b(2)+c=0

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2(\frac{3}{2})+4b+0=-5

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<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

Sine rule is used to show the relationship between the sides and angles of a trinagles.

Using sine rule on triangle XYZ:

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