TalisaF777328 TalisaF777328
  • 03-11-2022
  • Mathematics
contestada

write an equation of the circle that passes through (2, 8) with center (-3 4)

Respuesta :

AudenW561337 AudenW561337
  • 03-11-2022

we have, the equation is of the form

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

then, first calculate the radius of the circle

[tex]\begin{gathered} r=\sqrt[]{(x2-x1)^2+(y2-y1)} \\ r=\sqrt[]{(14-14)^2+(-8-1)^2} \\ r=\sqrt[]{0+(-9)^2} \\ r=\sqrt[]{81} \\ r=9 \end{gathered}[/tex]

so, (h,k) is the center and the equation is

[tex]\begin{gathered} (x-14)^2+(y-(-8))^2=9^2 \\ (x-14)^2+(y+8)^2=81 \end{gathered}[/tex]

Answer Link

Otras preguntas

What is the greatest common factor of 42,84,and 105 and how do you find it
rounding 672,831 to the tens place? hundreds place? thousand place? ten thousand place? and hundred thousands place?
In an examination there are four multiple choice questions with 3 options each, of which one option is the correct answer. In how many ways can a student answer
write the ratio as a fraction in simplest form6ft to 4yd
write down everything you know about the equation y=mx+b. you should include what this general equation represents,as well as what each of the different letters
factor completely if the polynomial is not factorable write prime also state the methods used to factor the polynomial. 1. x^2-12x+36 2. r^3-81r 3. 35x^3y
how did Japan's feudal system impact society?
what is 25/99 as a decimal terminating decimal or repeating decimal
T(8,15) is the midpoint of CD. The coordinates of d are (8,20) what are the coordinates of c
what is 62.6 rounded to the nearest tenth