Write the general equation for the circle that passes through the points: (0,0) (6,0) (0,-8)

Step-by-step explanation:

We start by writing the general form of the equation of a circle of radius R centered at and creating three equations (one for each unknown: , , and the radius R):

1) If the circle passes through (0,0) then we should have that the equation above holds true:

2) If the circle passes through (6,0) then we should have that the equation above holds true, and we also can use the important result from part 1) () to solve for :

3) If the circle passes through (0,-8) then we should have that the general equation of the circle above holds true, and we also can use the important result from part 1) () to solve for :

4) and finally, we use the results for and of parts 2) and 3) back into the equation in part 1) to solve for :

Then, replacing , , and for the values we found, the equation of the circle becomes:

the expected value of the random variable : 0, 1 and 2

step-by-step explanation:

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!