Answer:
201.06
Step-by-step explanation:
Area of circle: 
r = 1/2d = 1/2(16) = 8
Answer:
C=x (x+3)
Step-by-step explanation:
x cannot divide x+3 definitely so the denominators must be multiplied to get the least common denominator.
Answer:
Y=-2x
When x= -6 then y =12
Step-by-step explanation:
If y and x in direct variation then y=c*x for some constant c.
We are told
-4=c2
——> c= -2
So y= -2x
When x= -6 this becomes
Y= (-2) * (-6)
——> y = 12
Answer:
Option C, both functions have an y-intersect equal to 2.
Step-by-step explanation:
When we have a function f(x), the y-intercept is the value f(0). This is the point where the graph of the function intersects the y-axis.
Then, for f(x) = -x^2 + 5*x + 2
The y-intercept is:
f(0) = -0^2 + 5*0 + 2 = 2
f(0) = 2
And for g(x) we do not have the equation, but we have the graph, so we can just look at which value of y does the graph intersects the y-axis.
We can see that the graph intersects the graph at y = 2
Then the y-intersect is: g(0) = 2
So both functions have the same y-intersect. Then the correct option is C.
Answer:
28 m
Step-by-step explanation:
The longer side can be found using the Law of Cosines. The semi-diagonals are of length 12 and 20 m, and the angle between them facing the long side is 180° -60° = 120°.
c^2 = a^2 +b^2 -2ab·cos(C)
c^2 = 12^2 +20^2 -2·12·20·cos(120°) = 144 +400 +240 = 784
c = √784 = 28
The longer side is 28 meters.
