craftyskylark091 craftyskylark091
  • 23-03-2018
  • Mathematics
contestada

I NEED HELP!!!
Write the equation of the circle with center (0, 0) and (−4, 5) a point on the circle.
A) x2 + y2 = 1
B) x2 + y2 = 9
C) x2 + y2 = 41
D) x2 + y2 = 81

Respuesta :

Catya
Catya Catya
  • 23-03-2018
standard equation for a circle is: (x -h)² + (y - k)² = r²
(h,k) is the center which is given to be: (0,0) so you just need the radius.
The radius is the distance from the center to the point (-4,5) on the edge.

Use the distance formula

d = √[(-4 - 0)² + (5 -0)²]
d = √[16 + 25]
d = √[41]

radius is √[41]
so the equation for the circle is: x² + y² = 41
Answer Link

Otras preguntas

What two numbers multiply together and equal 16 and add together and equal -2?
Which solid figure has six vertices? A: Rectangular Prism B: Square Pyramid C: Triangular Prism D: Hexagonal Pyramid
A steel block has a volume of 0.08 m³ and a density of 7,840 kg/m³. What is the force of gravity acting on the block (the weight) in water?
In which continent have the native people used the llama as much as people elsewhere have used the camel?
how does groundwater cause erosion and deposition?
what kind of person do u imagine Bruno's father to be in the boy in the stripped pajamas?
A steel block has a volume of 0.08 m³ and a density of 7,840 kg/m³. What is the force of gravity acting on the block (the weight) in water?
What Does It Mean to Be "In a Rut"?Help please
____________ is the practice of raising fish and other water-dwelling organisms for food A. Land Redamation B. Aquifier C. desertification  D. aquaculture
What does each angle term mean? OAT ITT EAT SATT ?