9514 1404 393
Answer:
1250 square feet
Step-by-step explanation:
If x is the length of the side perpendicular to the creek, then the third side is (100 -2x) = 2(50 -x). The area is the product of length and width:
A = x(2)(50-x)
We observe that this is a quadratic function with zeros at x=0 and x=50. The vertex (maximum) of a quadratic function is on the line of symmetry, halfway between the zeros. The value of x there is (0 +50)/2 = 25.
Then the maximum area is ...
A = (25)(2)(50 -25) = 1250 . . . . square feet
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<em>Additional comment</em>
Note that half the length of the fence is used in one direction (parallel to the creek), and half is used in the other direction (perpendicular to the creek). This 50/50 split is the generic solution to all sorts of rectangular corral problems, with or without a creek, with or without internal partitions.
Half the fence is perpendicular to the other half. (If the costs are different in different directions, then the cost is what is split 50/50.)
Answer:
-5n^2 +2n +5
Step-by-step explanation:
( -4n^2 +2n) - (n^2 -5)
Distribute the minus sign
( -4n^2 +2n) - n^2 +5
Combine like terms
-5n^2 +2n +5
Step-by-step answer:
It is a glide reflection.
The order of sliding and reflection is not important if the gliding is parallel to the line of reflection, which is the case here.
So the equivalent is translate five units down, and then reflect over the y-axis.
Note in general that rotations will not be equivalent to an odd number of reflections. So looking for an equivalent, look for reflection.
Answer:
b
Step-by-step explanation:
you can use trial and error to solve this btw that's what I used and once I got to answer choice b, i plugged in the 2 numbers into the equation based of of their axis once i did that the equation now looked like this 9=3+3, when you solve this the equation would then look like this 9=6 and we both know that 9 doesn't not equal 6 so that is your answer.