Area of fountain is 147.58 and area of path is 28.26
The 4 Pack is the better value ;)
Step 1: Trying to factor as a Difference of Squares:
Factoring: x²⁰⁰² - 1
Theory : A difference of two perfect squares, A² - B² can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A² - AB + BA - B² =
A² - AB + AB - B²
A² - B²
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 1 is the square of 1
Check: x²⁰⁰² is the square of x¹⁰⁰¹
Factorization is : (x¹⁰⁰¹ + 1) × (x¹⁰⁰¹ - 1)
The answer would be 5 hours and 50 minuets. It would be this because 2230 equals 10:30 count the hours between 1030 and 430 6 hrs then minus 10 min because the last hr isnt a full hour because it doesnt make it to 430.
Let's solve your system by substitution.
y=2x+1;y=4x−1
Step: Solve y=2x+1for y:
y=2x+1
Step: Substitute2x+1foryiny=4x−1:
y=4x−1
2x+1=4x−1
2x+1+−4x=4x−1+−4x(Add -4x to both sides)
−2x+1=−1
−2x+1+−1=−1+−1(Add -1 to both sides)
−2x=−2
−2x
−2
=
−2
−2
(Divide both sides by -2)
x=1
Step: Substitute1forxiny=2x+1:
y=2x+1
y=(2)(1)+1
y=3(Simplify both sides of the equation)
Answer:
x=1 and y=3
