Suppose that z varies jointly with x and y.
Find the constant of proportionality k if z = 455 when y = 5 and x = 14.
k=
Using the k from above write the variation equation in terms of x and y.
z=
Using the k from above find z given that y = 26 and x = 38.
z=
If needed, round answer to 3 decimal places.
Enter DNE for Does Not Exist, oo for Infinity

answer

the correct answer is

explanation

the given function is

the excluded values are obtained by solving:

we factor to obtain:

the excluded values are

the correct answer is 5 6 and 7

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: