Kiara is hosting a s'mores bonfire for ten of her friends. In how many ways can she distribute 20 marshmallows, 30 graham crackers, and 15 chocolate bars (we cannot distinguish between two marshmallows but we can distinguish a marshmallow form a cracker, etc.) to her ten (distinguishable) friends so that each one of them gets at least one marshmallow, at least one graham cracker, and at least one chocolate bar?

do i do it on a graph?

step-by-step explanation:

step-by-step explanation:

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guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation:

180-142=38 for the acute angle next to the entry

90+38=128

180-128=52

a=52

step-by-step explanation: