You would is this case use the perfect square rule. So your would squareroot 9r^2 and 25 to get 3r+5 then you would square this equation to get (3r+5)^2
Apples = $.30
Peaches = $.60
You can get this by setting up a system of equations that looks like this.
2x + 3y = 1.65
3x + 2y = 1.60
Where x is the amount of apples and y is the number of peaches. Then you can solve using any of the methods (I would suggest elimination for ease).
Answer:
Step-by-step explanation:
Given a general quadratic formula given as ax²bx+c = 0
To generate the general formula to solve the quadratic equation, we can use the completing the square method as shown;
Step 1:
Bringing c to the other side
ax²+bx = -c
Dividing through by coefficient of x² which is 'a' will give:
x²+(b/a)x = -c/a
- Completing the square at the left hand side of the equation by adding the square of half the coefficient x i.e (b/2a)² and adding it to both sides of the equation we have:
x²+(b/a)x+(b/2a)² = -c/a+(b/2a)²
(x+b/2a)² = -c/a+(b/2a)²
(x+b/2a)² = -c/a + b²/4a²
- Taking the square root of both sides
√(x+b/2a)² = ±√-c/a + b²/√4a²
x+b/2a = ±√(-4ac+b²)/√4a²
x+b/2a =±√b²-4ac/2a
- Taking b/2a to the other side
x = -b/2a±√√b²-4ac/2a
Taking the LCM:
x = {-b±√b²-4ac}/2a
This gives the vertex form with how it is used to Solve a quadratic equation.
Step-by-step explanation:
points (-7,5) and (5,-3)?
This would mean to subtract the y coordinates:
5 - (-3) = 8
Then subtract the x coordinates in the same order:
-7 - 5 = -12
Then divide the y result by the x result for the slope:
8/-12 is the slope.
In simplest form, this is equivalent to -2/3
