Answer:

Step-by-step explanation:
The distance between point (x1,y1) and (x2,y2) on a coordinate plane is given by expression 
In the problem given coordinate points are
(0, a) and (a, 0).
Thus, distance between these points are given by

Thus , expression
gives the distance between point (0, a) and point (a, 0) on a coordinate grid.
Im not sure but it think its 410 mile long, idk double check by changing it into eighths
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For this case we have that the commutative property establishes that the order of the factors does not alter the product. Example:

Then we have the following options illustrate the property:

It is necessary to emphasize that option b illustrates the associative property and in option c equality is not fulfilled
Answer:
Option A, D, E, F
One line passes through the points (-2,3) and (0,-3) , it means the y intercept is b=-3
and slope m = 

So the equation of line will be 
And the inequality should be 
Or 
And the other line passes through (-2,3) and (0,2)
So the y intercept is b=2
and the slope is 
So the equation of line will be 
Or

So answer is 
We factor the equation to get:
-(x-25)^2+361
In the form a(x-h)^2+k, the vertex is (h, k), so the vertex is (25, 361). This means that the studio makes the most profit from selling 25 memberships, and thus makes 361 dollars.
B. The x-intercepts are the values of x for which f(x) is 0. This equation can be factored as (-a+6)(a-44)=0, with solutions 6 and 44. Therefore, by selling either 6 memberships or 44 memberships, the studio breaks even, neither making nor losing money.