Answer:
1. x = - 1 -y over 2
2. x = -4(2+y) over 3
Step-by-step explanation:
Answer:
+ 6°F
Step-by-step explanation:
Change is (Final - Initial) [Change is subtract old value from new value]
(0°F -(-6°F)) = +6°F
Catherine has 12.
2 times 3 is 6. 6 times 2 is 12. Final answer is 12.
Basically, what this asks you is to maximize the are A=ab where a and b are the sides of the recatangular area (b is the long side opposite to the river, a is the short side that also is the common fence of both corrals). Your maximization is constrained by the length of the fence, so you have to maximize subject to 3a+b=450 (drawing a sketch helps - again, b is the longer side opposite to the river, a are the three smaller parts restricting the corrals)
3a+b = 450
b = 450 - 3a
so the maximization max(ab) becomes
max(a(450-3a)=max(450a-3a^2)
Since this is in one variable, we can just take the derivative and set it equal to zero:
450-6a=0
6a=450
a=75
Plugging back into b=450-3a yields
b=450-3*75
b=450-225
b=215
Hope that helps!
The answer is:
11) The midpoint is (0,3)
12) The midpoint is (1,3)
