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Acuve12348.910?Which graph shows the system[x² + y2 = 9[ x+y=2N54

Acuve12348.910?Which graph shows the system[x² + y2 = 9[ x+y=2N54-example-1
User Pondigi
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1 Answer

3 votes

Answer:

Step-by-step explanation:

The system consists of two equations

The first is


x^2+y=2

which when rearranged gives


y=2-x^2

In the above form, we know that the equation represents a concave down parabola with a vertex at (0, 2).

Therefore, we must look for a graph that has a concave down parabola.

The second equation is


x^2+y^2=9

which is that of a circle centred at (0,0) with radius 3.

Therefore, we must look for a graph that is a circle of radius 3 centred at (0.0).

The graph that has the above-mentioned qualities is shown below.

Acuve12348.910?Which graph shows the system[x² + y2 = 9[ x+y=2N54-example-1
Acuve12348.910?Which graph shows the system[x² + y2 = 9[ x+y=2N54-example-2
User William GP
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3.7k points