Answer:
! means factorial . For example 3! (factorial 3) = 3*2*1 = 6
Answer to 14C3 is 364
Step-by-step explanation:
14! = 14*13*12*11*10*9*8*7*6*5*4*3*2*1
14C3 = 14*13*12*11*10*9*8*7*6*5*4*3*2*1 / 3*2*1 * 11*10*9*8*7*6*5*4*3*2*1
= (14*13*12) / 3*2*1
= 14*13*2
= 364
The answer is in the picture .:...
It looks like Brenda did since Michael forgot to take out the parenthesis<span />
Answer:
a. 7 by 21
b. a(-12, 2), b(-12, -5), c(9, -5)
Step-by-step explanation:
AD is 3 times the length of AB. X can be the length of AB. Then 3x would be the length of AD. The perimeter is 56, which would also be 3x + x + 3x + x which is 8x. This gives us 8x = 56, meaning that x is 7, or the length of AB is 7. Because AD is 3 times the length of AB (which is 7), AD = 21. Therefore, the dimensions of the rectangle ABCD is 7 by 21.
Coordinates of A have to be 21 units away from D since AD = 21. It goes in the left direction, meaning that 21 is subtracted from 9 (since this is a horizontal edge involving x coordinates) while the y value remains the same. The result is (-12, 2). For coordinate B, it has to be 7 units away from A downwards since AB = 7. This means that you subtract 7 from 2 (involving only the y coordinates), resulting in (-12, -5). For coordinate C, it has to be 21 units from B since BC = AD = 21. Because C is right compared to B, you have to add 21 to -12 (involving only the x coordinate) resulting in (9, -5).
Answer:
1/3
Step-by-step explanation:
We have 6 slices
2 are yellow
P ( yellow) = number of yellow / total
= 2/6
= 1/3
