Answer:
Either x = 3, y = 2
or
(3,2) is your answer.
Step-by-step explanation:
2x +y = 8 (1)
y = - x+ 5 (2)
Put equation (2) into equation (1). Use the y value in (2) to go into the y value in (1).
2x - x+5 = 8 Combine the x values
x + 5 = 8 Subtract 5 from both sides
x + 5-5 = 8-5
x=3
Now go back to (2). Put x in for the value of -x. Watch the sign.
y = -3+ 5
y = 2
So the answer is (3,2)
Answer:
A
Step-by-step explanation:
Replace x with π/2 - x to get the equivalent integral

but the integrand is even, so this is really just

Substitute x = 1/2 arccot(u/2), which transforms the integral to

There are lots of ways to compute this. What I did was to consider the complex contour integral

where γ is a semicircle in the complex plane with its diameter joining (-R, 0) and (R, 0) on the real axis. A bound for the integral over the arc of the circle is estimated to be

which vanishes as R goes to ∞. Then by the residue theorem, we have in the limit

and it follows that

Answer:
The ranger will need to clear trail for more than 10 2/3 additional hours.
Step-by-step explanation:
Answer: The first one is 2 2/3 and the second one is 10 1/2
Step-by-step explanation: So 2/3 divided by 1/4. First you would do keep, change, flip. Then that would give you 2/3 times 4/1. 2/3 times 4/1 would be 8/3 which can be simplified to 2 2/3. The second one 7 divided by 2/3. Again do keep, change, flip. 7 times 3/2. This would give you 21/2 when you simplify you get 10 1/2.