Giving lots of points and brainlest what are the vertices, foci, and directrix of the equation (x-3)^2+(y+1)^2=25

The given equation represents a circle centered at (3,-1) with radius 5.

Step-by-step explanation:

The given equation is

           ....(1)

The higher degree of both variables is 2, therefore the equation does not represents a parabola because in case of parabola the degree of both variables are not same.

The given equation is in the standard form of a circle.

The standard form of a circle is

        .... (2)

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

On comparing equations (1) and (2), we get

Therefore the center of the circle is (3,-1) and radius of the circle is 5.

£56

step-by-step explanation:

u divide 24 by 3 and u get 8 so if u do 8 time 7 or 8+8+8+8+8+8+8 u get 56 and 56 divided by 7 is 8.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is