mid point is basically the mean of the x coordiante and the y coordinate. that means that the x coordinate in M, whihc is -1, is the mean of the x coordinate in F and G. the x coordinate in F is -2, so that means that the x coordinate og G must be 0, because 0+(-2) / 2 = -1 so -1 is the x coordinate of G.

To find the y coordinate of G, do the exact same thing. the y coordinate of M is 3, and the y coordinate of F is 5, which means that the Y coordinate of G must be 1. so the points for G are:

(-1,1)

5 0

2 years ago

we need to make a number code with 4 digits. how many codes have at least two equal digits? and how many codes have exactly 3 eq

Blizzard [7]

Answer:

First do the case in which none of the digits is 0.

There are 9 ways to choose the digit that repeats 3 times and 8 ways to pick the other, after this there are 4 ways to order the digits. So 9×8×4.

Now we look at the cases in which the digit 0 repeats 3 times. Clearly the 9 numbers are 1000,2000,3000,…,9000.

Lastly we look at the cases in which 0 appears once. There are 9 ways to pick the other digit and 3 ways to order.

So the final answer is 9×8×4+9+9×3.

6 0

3 years ago