Answer:
17550 solutions
Step-by-step explanation:
Given that:
y1 +y2+y3+y4=27
where;
(yi ≥ 0 and yi
)
The no. of a nonnegative integer determines the number of ways to choose 27 objects from (4) distinct objects with repetition regardless of the order.
i.e

∴
The number of nonnegative integer solution is 





= 17550 solutions
Answer:
GE = 3 cm
Step-by-step explanation:
BE = 9 cm
Since G is the centroid, therefore:
=> Centroid theorem
Plug in the value

GE = 3 cm
Answer:
C) [-4,0)
Step-by-step explanation:
Look at the endpoints. You have (-3,0) which isn't included in the function and you have (1,-4) which is included in the function.
We use interval notation when we are describing the subset of numbers in a function by using parentheses to show an endpoint is not included and brackets to show an endpoint is included.
In this case, since we are being asked to find the range of the function, that only pertains to y-coordinates.
Given that (1,-4) is included in the function, this means that y=-4 is included in the function. Therefore the answer's interval notation will start with a bracket to show it's included.
Given that (-3,0) isn't included in the function, this means that y=0 isn't included in the function. Therefore the answer's interval notation will end with a parenthesis to show it's not included.
Combining the two elements, we have an interval notation of [-4,0) which means C is the correct answer
1.)

2.)

<em>Hope it helps and is useful :)</em>