Which expression has the greatest value when x = -2 and y = -3?
(7.ns.3)
f. - xy
h. x - y
g. xy
i. -x- y

G) the expression has the greatest value when 6.

ie,

Step-by-step explanation:

F) Given expression is -xy and to find the greatest value of that expression when and

Substitute the given values of and is the given expression

h) x-y

Given expression is x-y

substitute x=-2, y=-3 is above expression we get

G, xy

Given expression is xy

Substitute x=-2, y=-3 in above expression

I) -x-y

Given expression is -x-y

put x=-2, y=-3 in above expression

Now comparing the greatest values equation (1), (2), (3) and (4) we get

Equation (3) xy=6 has the greatest value

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'.