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balandron [24]
3 years ago
12

Consider the following system of equations. {-10x^2 - 10y^2 = -300 and 5x^2 + 5y^2 = 150 Which statement describes why the syste

m has infinite solutions?
A. The equations represent parabolas that result in graphs that do not intersect.
C. The equations represent parabolas that result in the same graph.
D. The equations represent circles that result in the same graph.
Mathematics
2 answers:
shusha [124]3 years ago
8 0
Answer: D. The equations represent circles that result in the same graphs.

When two equations result in one graph, it means they will have infinite solutions. Solutions are what do you call the points of intersection of two equations being graph together. In the problem, these two equations are equations of a circle with a radius of 12.25.

-10x^2 - 10y^2 = -300 simplified.. will be, 5x^2 + 5y^2 = 150 which is the same with the next equation.
pychu [463]3 years ago
6 0

Answer:

D

Step-by-step explanation:

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For every quarter he spends, Reggie receives 50 food pebbles to feed the fish. Reggie has thrown 350 food pebbles into the fish
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7 quarters are spent for throwing 350 food pebbles in pond.

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Now, using proportion and cross multiplication method, we can find 'x'.

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