Answer: The slope is 
Step-by-step explanation:
1. You need to apply the following formula for calculate the slope:

2. Given the points, (3,-4) and (7,6), you have:

3. Substitute these values into the formula for calculate the slope, as following:

4. Simplify the result. Therefore, you obtain that the slope is:

Answer:
1) 
2) 
Step-by-step explanation:
1)
Given

Equating above equation.



Solving for both the equation







2)
Given




Solving for both equation






The tax is found by mult. the total purchase by 1.07:
1.07(3)($0.99) = $3.18 (rounded up to the nearest cent)
Answer: yes, it is
Step-by-step explanation:
A number is divisible by 6 if it is divisible by 2 and 3 simultaniously.
n = k(k+1)(k-1)
If k-1 is a multiple of 3, n is divisible by 3, so one of the requirements is ok.
Now, if k-1 is a multiple of 3, it can be even or odd.
if k-1 is even, then it is divisible by 2 and as it is divisible by 3 as well, n is divisible by 6
if k-1 is odd, then k and k+1 is even, hence, divisible by 2.
As n = k(k+1)(k-1), n is also divisible by 6.
Perimeter of a square = 4s = 20ft
s = 20/4 = 5 feet
New length = 5 + 2 = 7 ft
New width = 5 - 1 = 4ft
New perimeter = 2(7 + 4) = 2(11) = 22ft