First question:
1. Set equations equal to each other so 5x-9=2x+6
2. Put x's on one side so that 3x=15
3. Divide by 3 so that x=15
4. Substitute 15 in for x so that y=2(15)+6
5. Solve for y so that y=36
6. Thus the equations intersect at (15,36)
Second question:
1. Since for lines y=mx+b, and m=slope=3 you only need to write an equation with slope 3
2. y=3x+b, b can be any number
Answer:
Step-by-step explanation:
First you add 4 on both sides
X^2=0
Then you take square on both sides
X=+- the square root of 4
Simplify that
X=plus or minus 2
The answer can be either -2 or +2 (which is just 2)
Answer:
The perimeter of the garden, in meters, is 
Step-by-step explanation:
Diagonal of a square:
The diagonal of a square is found applying the Pythagorean Theorem.
The diagonal of the square is the hypothenuse, while we have two sides.
Diagonal of 12m:
This means that
, side s. So





Factoring 72:
Factoring 72 into prime factors, we have that:
72|2
36|2
18|2
9|3
3|3
1
So

So, in simplest radical form:

Perimeter of the garden:
The perimeter of a square with side of s units is given by:

In this question, since 

The perimeter of the garden, in meters, is 
Ok, so this is a simple problem
since its 7/8 of the price now, you do $43 divided by 8 to get the unit rate...
5.375 which rounds up to $5.38.
now since theres only 7/8, do 5.38x7 and your answer will be $37.66