Widths = 23.5feet
Lengths = 47feet
23.5 + 23.5 + 47 + 47 = 141
Answer:
center: (-10,-4)
radius: 9
Step-by-step explanation:
Let's start off by moving the 35 to the other side and grouping the x and y terms we have
(x²+20x)+(y²+8y)= -35
Next we take the term with the x coeficcent, divide it by 2, and square it
so
for the x we would do (20/2)²=100
and make sure we add that to the 35
(x²+20x+100)+(y²+8y+16)= -35+100+16
next factor everythign to get
(x+10)²+(y+4)²=81
therefore the center is (-10,-4)
and the radius is √81 or 9
Answer:
65 divided by 1300 is 20.
Answer: Hello mate!
we know that p(x,y) means "Student x has taken class y"
and the used symbols are:
∃: this means "existence", you use this symbol to say that there exists at least one object that makes true the sentence.
∀: this means "for all", you use this symbol to say that the sentence is true for all the elements, then:
a) ∃x∃yP (x, y)
"exist at least one student x, that took at least one class y"
b) ∃x∀yP (x, y)
"exist at least one student x, that took all the classes y"
c) ∀x∃yP (x, y)
"every student x, took at least one class y"
d) ∃y∀xP (x, y)
"exist at least one class y, that has been taken by all the students x"
e) ∀y∃xP (x, y)
"for every class y, there is at least one student x that took the class"
f) ∀x∀yP (x, y)
"all the students x took all the classes y"
