Enter the missing numbers in the boxes to complete the table of equivalent ratios of lengths to widths. length (cm) width (cm) ? 30 7 ? 8 ? 9 45

Alright, lets get started.

We have given the ratio 9:45

or

could be written as

Means the given ratio is 1:5.

Means every given number should be in this ratio 1:5.

? : 30 means

Cross multiplying

Hence x = 6

For 7 : ?

Cross multiplying

x = 35

For 8 : ?

Cross multiplying

x = 40

Hence the answers are 6 30, 7 35, 8 40. : Answer

Hope it will help :)

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0

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'.