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BlackZzzverrR [31]
3 years ago
14

Which of the following equations will produce the graph shown below?

Mathematics
2 answers:
a_sh-v [17]3 years ago
8 0

Answer:

Option (B) is correct.

\frac{x^2}{20}+\frac{y^2}{20}=1  equation will produce the graph shown.

Step-by-step explanation:

Given  a graph showing circle .

We have to determine the equation that will produce the graph shown.

Consider the given graph.

It shows a circle with radius 4.5

The general equation of circle is represented by x^2+y^2=r^2    

Since option (A) represents the equation of hyperbola.

Option (C) represents the equation of circle with radius 4, but the given graph has radius grater than 4 .

Option (D) can be rewritten as  by dividing by 6,

x^2+y^2=\frac{144}{6}=24  which is a equation of circle with radius 4.9 (approx)

Thus, only Option (B) works for the given graph.

\frac{x^2}{20}+\frac{y^2}{20}=1

Multiply , by 20 , we get,

x^2+y^2=20 also, \sqrt{20}=4.47(approx)

Thus, Option (B) is correct.

\frac{x^2}{20}+\frac{y^2}{20}=1

 

         

natta225 [31]3 years ago
5 0

Answer: B

Step-by-step explanation:

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