Jim's house to the corner is A. Adam's house to the corner is B. Adam's to Jim's is C.
(AxA)+(BxB)=(CxC).
(15x-7)(15x-7) = 225x^2-210x+49 = (AxA)
(23x-2)(23x-2) = 529x^2-92x+4 = (CxC)
(CxC)-(AxA) = (BxB)
529x^2-92x+4-225x^2-210+49 = 304x^2-118x-45
so (BxB) = 304x^2-118x-45
now we would factor that expression but this one isn't factorable.
so your final answer for the distance from Adam's house to the corner is the square root of 304x^2-118x-45.
The average rate of change is 11
Explanation:
The given function is 
We need to determine the average rate of change for the function from 2 to 6
The average rate of change can be determined using the formula,

where
and 
Now, we shall determine the values of f(2) and f(6) by substituting the values for x = 2 and x = 6 in the function 
Thus, we have,



Similarly, substituting x = 6, we get,



Hence, substituting these values in the formula
, we get,

Simplifying, we get,

Thus, the average rate of change for the function from 2 to 6 is 11
Answer:
Im not really sure but take c & d out cuz they are wrong so it would just b and a but Id say it is A:)
So first we need to find the total before tax. Let's add up the two prices:

So we know that the total before tax is $381. Now we are told that the sales tax on these items is 6.5%. It would be easier for us to convert 6.5% to a decimal in order to multiply. Let's convert 6.5% to a decimal by dividing by 100:

Now that we have the sales tax in decimal form, let's multiply this sales tax by the total amount of the items before tax ($381):

This means that $24.77 is the tax for this purchase. To find the total amount that Jon paid for these items after tax, you must add the tax to the total amount before tax to give you:

So now we know that
Jon's total bill for these items is $405.77.