Find an equation of the circle that passes through points (6,3) and (-4,-3) and has its center on line y-2x-7.

Step-by-step explanation:

We can use the general formula method:

We substitute point 1 (6,3) into the equation:

We substitute point 2 into the equation

We know that he centre is (-g,-f) and we substitute it into equation y-2x-7=0

We have 3 equations and we have 3 unknowns. We can eliminate c by subtracting the first two equations:

now we can solve in terms of f and g:

into the above equation:

Solve for g:

f is

Therefore c is:

The equation of the circle is:

d. 9

step-by-step explanation:

in the table given in the picture, x is the input of the function and f(x) is the output on the given input. in the given table, it can be read as the value of function at -3 is it's respective value of f(x) which is -9.

as we have to find the value of f(3), we will see that what is the value of output on input 3. we can see in the table that the output value at x=3 is 9.

so, option d is the correct answer ..

fourth month

step-by-step explanation:

it is the one with the most keychains.