Santiagocelia832idn
Answered

From health tips to tech hacks, find it all on IDNLearn.com. Whether your question is simple or complex, our community is here to provide detailed and trustworthy answers quickly and effectively.

Determine the equation of the circle graphed below.
y
10
8
6
o
2
-10
-8
-6
4
-2
4
6
8
10
-2
-6
-10

Determine The Equation Of The Circle Graphed Below Y 10 8 6 O 2 10 8 6 4 2 4 6 8 10 2 6 10 class=

Sagot :

Nayefxidn

Answer:

(x-7)²+(y-4)²=3²

Step-by-step explanation:

to understand this

you need to know about:

  • circle equation
  • PEMDAS

tips and formulas:

  • circle equation standard form: (x-a)²+(y-b)²=r²

given:

  • (a,b)=(7,4)
  • r=3

let's solve:

  1. substitute the values of a,b and r :(x-7)²+(y-4)²=3³

and

we are done

View image Nayefx
MrRoyalidn

The equation of a circle is a measure of its center and its radius.

The equation of the circle is: [tex]x^2 + y^2 - 14x -8y + 56 = 0[/tex]

The general equation of a circle is [tex](x - a)^2 + (y - b)^2 + r^2[/tex]. Where:

[tex](a,b) \to[/tex] center

[tex]r \to[/tex] radius

From the given figure, we have:

[tex]r = 3[/tex]

[tex](a,b) = (7,4)[/tex]

So, the equation of the circle is:

[tex](x - a)^2 + (y - b)^2 + r^2[/tex]

[tex](x - 7)^2 + (y - 4)^2 = 3^2[/tex]

[tex](x - 7)^2 + (y - 4)^2 = 9[/tex]

Open brackets

[tex]x^2 - 14x + 49 + y^2 -8y + 16 = 9[/tex]

Collect like terms

[tex]x^2 + y^2 - 14x -8y + 49 + 16 - 9 = 0[/tex]

[tex]x^2 + y^2 - 14x -8y + 56 = 0[/tex]

Hence, the equation of the given circle is: [tex]x^2 + y^2 - 14x -8y + 56 = 0[/tex]

Read more about equations of circles at:

https://brainly.com/question/23988015

Your participation means a lot to us. Keep sharing information and solutions. This community grows thanks to the amazing contributions from members like you. IDNLearn.com has the answers you need. Thank you for visiting, and we look forward to helping you again soon.