The diameter of Circle Q terminates on the circumference of the circle at (3,0) and (-4,0). Write the equation of the circle in standard form. Show all of your work for full credit.

Step-by-step explanation:

Given

The diameter of circle terminates on the circumference with coordinates

(3,0) and (-4,0)

Distance between the two points is the diameter of the circle. The distance is given by distance formula i.e.

Insert the values

The center of the circle is the mid-point of the two points i.e.

The equation of the circle is given by

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

none of these

step-by-step explanation:

23 + 34 add up to 57 so just inform the teacher of this really stupid mistake