Add another triangle to make it a square/rectangle. Then find the perimeter of that. Then divide the answer by 2. That will be the perimeter of the shape.
1) In a proportion: y/x=k
k is your constant of proportionality.
x is your independent variable and y is your dependent variable.
Since you need 3 oz of flour for each 2 oz of sugar, y=3 and x=2.
So k=1.5 (3/2)
3)
a) y/x as a showed above. This question is very similar to #1.
b) y/x=k
Answer: (7x^2+144)/x^2
Step-by-step explanation:
f(h(x))=
f(12/x)=
(12/x)^2+7=
12^2/x^2 + 7=
144/x^2 +7=
144/x^2 +7*x^2/x^2=
144/x^2+7x^2/x^2=(7x^2+144)/x^2
a) The students who are members of both sets can be described by
... a ∩ b
b) The students who are members of a but not b can be described by
... a ∩ b'
c) The students who are members of one or both sets can be described by
... a ∪ b
d) The students who are not in one set or not in the other set can be described by
... a' ∪ b' . . . . = (a ∩ b)'