Answer:

Step-by-step explanation:
Given two points are (-1,7) and (7,7).
We are told to find a point which is in between them at a ratio of 6:5.
Formula for calculating a point at distance of ratio m:n is given by

where
are the inital and final points.

also m:n=6:5 ,
by substituting all the values we get,


Let the integers be x and x+1.
x = 6 + 2(x + 1)
x = 6 + 2x + 2
x = -8
Hence, the integers are -8 and -7.
Answer:
2 sides of the patio are 9ft and another 2 sides are 15ft
Step-by-step explanation:
To solve this problem we have to know thata rectangle has 4 sides and 2 of them are equal to each other
This is the formula to calculate perimeter
p = perimeter 48 ft
a = side a = 9 ft
b = side b
p = 2a + 2b
we replace the known values
48ft = 2*9ft + 2b
48ft = 18ft + 2b
48ft - 18ft = 2b
30 / 2 = b
15 = b
2 sides of the patio are 9ft and another 2 sides are 15ft
The square of a binomial is written like

In your case, you have
, which implies 
So, we want to write

But our left hand side is

If we add 26 to both sides, we have
