Answer:
The total number of balls in the pyramid will be 55.
Step-by-step explanation:
Cannonballs are stacked In a pyramid shape with a base of 5 cannonballs on a side.
Therefore, at the base, the number of balls is 5².
In the layer above the base layer, there are 4 balls on each side.
So, in the layer above the base layer, the number of balls is 4².
Similarly, in the next levels, the number of balls will be 3², 2² and 1.
Therefore, the total number of balls in the pyramid will be (5² + 4² + 3² + 2² + 1) = 55. (Answer)
Answer:
p=-7 :)
Step-by-step explanation:
-13-8=3p
-13+(-8)=3p
-21=3p
÷3
-7=p
Answer:
24x^2+112x+120
Step-by-step explanation:
distribute the 2
(6x+10)(4x+12)
foil it
24x^2+112x+120
It is B because the equation for slope is x/y and when x=1 y=2 so it is 1/2
Answer:
Except k=7, any real number for k would cause the system of equations to have no solution.
Step-by-step explanation:
In general a system of equations can be represented as ax+by=c and dx+ey=f. In order this system of equations to have NO SOLUTIONS a/d=b/a≠c/f. In our example a=6, b=4, c=14, d=3, e=2 and f=k. To apply the formula above, 6/3=4/2≠14/k. Hence k≠7. It can be concluded that except k=7, any real number for k would cause the system of equations to have no solutions.
Just for information, if k=7 the system will have infinitely many solutions.