What are the coordinates of the center and the
length of the radius of the circle whose equation is
x2 + y2 = 8x - 6y + 39?

The coordinate of the center is (4,-3)

radius = 8

Step-by-step explanation:

Given ;

re - arranging , we have

comparing with the general equation

This means that

also

The coordinate of the center is (-g,-f)

Therefore;

the coordinate of the center = (4,-3)

the formula for calculating r is given by:

METHOD 2

using completing the square method , we have

completing the square , we have

comparing with the general equation

where a and b are the coordinate of the center , that is

the coordinate of the center is ( 4 , -3)

0.6

39mph

step-by-step explanation:

answer:

given the linear inequality :

add 2y to both sides we get;

simplify:

add 12 to both sides of an equation;

simplify:

divide both sides by 2 we get;

or

the related equation for the inequality equation [1] is;

y-intercepts defined as the graph crosses the y-axis.

substitute x =0 in [2] to solve for y;

y = 6

x-intercepts defined as the graph crosses the x-axis.

substitute value y = 0 to solve for x;

subtract 6 from both sides we get

multiply both sides by 2 we get;

or

x = -12

now, plot these point (0, 6) and (-12, 0) on graph as shown below and shade the graph below the solid line.