Seudónimo Seudónimo
  • 03-12-2017
  • Mathematics
contestada

the line with equation y=kx intersects the circle with equation x^2-10x+y^2-12y+57=0 at two distinct points

Respuesta :

mathstudent55
mathstudent55 mathstudent55
  • 03-12-2017
x^2 - 10x + y^2 - 12y + 57 = 0

x^2 - 10x + 25 + y^2 - 12x + 36 = -57 + 25 + 36

(x - 5)^2 + (y - 6)^2 = 4

(x - 5)^2 + (y - 6)^2 = 2^2

This is the equation of the circle.
The line y = kx is a line that passes through the point (0, 0).
Between two values of k, t intersects the circle at 2 points.
The values of k are the calues that make the lines y = kx tangents to the circle.
Answer Link

Otras preguntas

is a piece of cloth a point, line, or plane?
Write equation in function form 2x+2y=8 and 6x-3y=12
placing 12 tiles side by side, Pete can make a 12-by-1 rectangle. Name two other rectangles Pete can make with 12 tiles
Write equation in function form 2x+2y=8 and 6x-3y=12
Tasha believes that she can rewrite the diffrence 120 - 36 as a product of the GCF of the two numbers and another diffrence.Is she correct?
Deathvalley has an elevation of -282 feet to sea level explain how to use absolute value to describe the elevation of death valley as a positive integer.
help me the area of a rectangular roof of a doghouse is 756 square inches. the length of the roof is 108 inches. how many inches wide is the roof? show the math
is a piece of cloth a point, line, or plane?
what is 69/25 as a terminating decimal
If Olivia and Shawn have another child, which of the following genotypes is possible for the child? A. Mm only B. MM only C. MM or mm only D. MM, Mm, or mm