Respuesta :
{x-(-3/4)}^2=3^2
(x+3/4)^2=9
{(4x+3)/4}^2=9
(4x+3)^2/16=9
(4x+3)^2=9*16
16x^2+2*4x*3+3^2=144
16x^2+24x+9=144
16x^2+24x+9-144=0
16x^2+24x-135=0
(x+3/4)^2=9
{(4x+3)/4}^2=9
(4x+3)^2/16=9
(4x+3)^2=9*16
16x^2+2*4x*3+3^2=144
16x^2+24x+9=144
16x^2+24x+9-144=0
16x^2+24x-135=0
Answer:
[tex](x+3)^2+(y-4)^2=9[/tex]
Step-by-step explanation:
We are given a circle which is centered at the point (-3,4) and has a radius of length 3.
We have to find the equation of the circle.
The equation of circle centered at (a,b) and radius r is:
[tex](x-a)^2+(y-b)^2=r^2[/tex]
Here a=-3 , b=4 and r=3
Hence, equation of circle is:
[tex](x+3)^2+(y-4)^2=3^2[/tex]
[tex](x+3)^2+(y-4)^2=9[/tex]