This is a permutation since order matters. If you have a calculator that does statistics there is a button for this nPr. If not, look at it this way, you have three positions to fill, how many runners are there that could come in first place? 7, How many are left to come in second place? 6, How many are lady to come in third place? 5.
Multiply these numbers together to get your answer: 7 x 6 x 5 = 210
<u>x = 8</u>
<u>y = 3</u>
x = 5y - 7
x + y + 1 = 12
Because we have a value for x, we can use it in the second equation to find the value of y.
5y - 7 + y + 1 = 12
<em><u>Combine like terms</u></em>
6y - 6 = 12
<em><u>Add 6 to both sides.</u></em>
6y = 18
<em><u>Divide both sides by 6.</u></em>
y = 3
Now that we have a value for y we can place it back in the equation to find the value of x.
x + 3 + 1 = 12
<em><u>Subtract 4 from both sides.</u></em>
x = 8
You can use the point slope equation (y - y1) = m(x - x1). y1 is the y coordinate of the point you want to pass, m is the slope, and x1 is the x coordinate
(y - 3) = 1/2(x + 3)
Answer:
5/4 8.10.............0.0 5=7=9