samiah
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construct the graph of x^2+y^2=9 what would this graph look like and what are its coordinates please help?

Sagot :

geerky42
It would looks like circle with radius of 3 and its center at (0,0).


View image geerky42

Answer:

The coordinates (3,0), (-3,0), (0,3) ,and (0,-3) helps us to draw the graph of the circle. Below is the explanation

Step-by-step explanation:

Given:

   The equation of a circle is [tex]x^{2} +y^{2} =9[/tex].

To find:

    Graph the given equation.

Let's find the center and radius by comparing the given equation with the standard form.

   [tex](x-h)^{2} +(y-k)^{2} =r^{2}[/tex]

 

We can rewrite our equation as [tex](x-0)^{2}+ (y-0)^{2}= 3^{2}[/tex]

Now, compare them

[tex](x-h)^{2} +(y-k)^{2} =r^{2}[/tex]

[tex](x-0)^{2}+ (y-0)^{2}= 3^{2}[/tex]

Center (h,k)=(0,0)

Radius r=3

Now, draw the graph of the circle by placing the center and radius.

So, the coordinates which are 3 units exactly from the center (0,0) help us to find the graph of the circle. So, (0,3), (0,-3), (3,0) ,and (-3,0) would help us to graph the circle.

You can learn more:

https://brainly.com/question/2870743

View image ConcepcionPetillo
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