promotion image of download ymail app
Promoted

Write the standard equation of the circle with center (-4, 3) and a radius of 5.?

Write the standard equation of the circle with center (-4, 3) and a radius of 5.

(x + 4)^2 + (y - 3)^2 = 5

(x - 4)^2 + (y + 3)^2 = 5

(x + 4)^2 + (y - 3)^2 = 25

(x + 3)^2 + (y - 4)^2 = 25

Earthquakes release seismic waves that occur in concentric circles from the epicenter of the earthquake. Suppose a seismograph station determines the epicenter of an earthquake is located 9 kilometers from the station. If the epicenter is located at the origin, write the equation for the circular wave that passes through the station.

x^2 + y^2 = 81

x^2 + y^2 = 9

(x - 9)^2 + (y - 9)^2 = 0

(x + 9)^2 + (y + 9)^2 = 0

2 Answers

Relevance
  • 1 month ago
    Favorite Answer

    The standard equation for a circle is

    (x - h)² + (y - k)² = r² 

    Where (h, k) is the center of the circle and r is the radius

    ---------------------

    circle with center (-4, 3) and a radius of 5

    ( x - -4)² + (y - 3)² = 5² 

    (x + 4)² + (y - 3)² = 25 <––––––

    ---------------------

    • the epicenter of an earthquake is located 9 kilometers from the station

    r = 9

    • epicenter is located at the origin

    (h, k) = 0

    (x - 0)² + (y - 0)² = 9²

    x² + y² = 81 <––––––

    • Commenter avatarLogin to reply the answers
  • David
    Lv 7
    1 month ago

    Equation of circle: (x+4)^2 + (y-3)^2 = 25

    • Commenter avatarLogin to reply the answers
Still have questions? Get your answers by asking now.