Identify the equation of the circle that has its center at (-27, 120) and passes through the origin.

Solution:

The equation of a circle is given as:

Where,

(a, b) is the centre of the circle

r is the radius

We have the centre of the circle (-27, 120)

Therefore,

a = -27

b = 120

Given that, it passes through origin. which means, (x, y) = (0, 0)

Substitute (a, b) = (-27, 120) and (x, y) = (0, 0) in eqn

Substitute = 15129 and (a, b) = (-27, 120) in eqn

Thus the equation of circle is found

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18

the answer for this question is : 360°

step-by-step explanation:

we have been given a triangle   we need to tell which one of these is a triangle below to map onto itself.

360° rotation is the complete rotation which eventually leads to the same figure which is given.

the correct will be, that is 360° that will cause the triangle below to map onto itself.