Pentagon A'B'C'D'E'A ′
B
′
C
′
D
′
E
′
A, prime, B, prime, C, prime, D, prime, E, prime is the image of pentagon ABCDEABCDEA, B, C, D, E under a dilation with a scale factor of \dfrac{1}{2}
2
1
​

9 sandwiches per hour

step-by-step explanation:

when we have a rate, we want a 1 in the denominator

27/3 = 9

27 sandwiches/ 3 hours = 9 sandwiches/hour

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:

answer: 8d

step-by-step explanation:

45+5= 50+5=55+5=60