We know that
The formula for combinations is
C=n!/[(n-r)!*r!]
where
n is the total number of objects you choose from
r is the number that you choose to arrange
in this problem
n=15 students
r=4 students
C=15!/[(15-4)!*4!]-----> C=15!/[11!*4!]---> (15*14*13*12*11!)/(11!*4*3*2*1)
C=(15*14*13*12)/(24)----->C=1365
the answer is
1365
Formula of the area of a triangle:
A = hbb/2
Plug in the numbers.
26 · 26/2
= 338
Therefore, the area of the triangle is 338
9514 1404 393
Answer:
A) 5x+12 = -12x-12
D) 5x+12 = -5x-12
Step-by-step explanation:
If you subtract the right side expression from both sides, you will get an equation with something equal to zero. If the 'something' has a variable in it, there is exactly one solution.
A: (5x+12) -(-12x-12) = 17x+24 = 0 . . . one solution
B: (5x+12) -(5x-5) = 17 = 0 . . . . no solutions
C: (5x+12)-(5x+12) = 0 = 0 . . . . infinite solutions
D: (5x+12) -(-5x-12) = 10x +24 = 0 . . . one solution
The total area painted was 480 inches. 4 cubed is 64, 8 cubed 512. 512 +64= 576. Then you subtract two sides of the 4 inch square because the bottom is not painted and one side is pushed against the 8 inch cube. That means 576-32= 544. Then you subtract the bottom of the 8 inch cube, which means 544-64= 480.
Answer: y2-y1/x2-x1=-1-3/3-3=-4/0=undefined.
Step-by-step explanation: