A zookeeper recently found out that the lion toby needs surgery on one of his paws. After the surgery, he will need to be isolated from the rest of the lions for a short period of time. The zookeeper decides to build a small cage to house Toby while he recuperates. The zoo has a budget of $30,000 to build a cage with as much volume as possible. The cage will rest on the floor of the lion enclosure, so it does not need a bottom. The material for the ceiling and walls of the cage costs $12 a square foot. Suppose the height of the cage is z feet and the base of the cage is x feet by y feet. In this problem, we want to ___the function___. Our constraint equation is ___.

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.

beluga wheeeaaalle matt

step-by-step explanation:

$75.00

step-by-step explanation:

i = prt

i = 1,5000 * 0.025 * 2

i = 75

320ft

step-by-step explanation:

120 divided by 3 equals 40

40 times 4=160

160 times 2=320