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.
Answer: The answer is Yes.
Step-by-step explanation: Given in the question that Radric was asked to define "parallel lines" and he said that parallel lines are lines in a plane that do not have any points in common. We are to decide whether Radric's definition is valid or not.
Parallel lines are defined as lines in a plane which never meets or any two lines in a plane which do not intersect each other at any point are called parallel.
Thus, Radric's definition is valid.
4x = 3y - 8
4 4
x = ³/₄y - 2
-16x + 4y = 32
-16(³/₄y - 2) + 4y = 32
-16(³/₄y) + 16(2) + 4y = 32
-12y + 32 + 4y = 32
-12y + 4y + 32 = 32
-8y + 32 = 32
- 32 - 32
-8y = 0
-8 -8
y = 0
x = ³/₄y - 2
x = ³/₄(0) - 2
x = 0 - 2
x = -2
(x, y) = (-2, 0)
Answer: m = - 
Step-by-step explanation:
I know this because I'm built different (FR FR This answer is correct)
g(x) = 4x + 2
Step-by-step explanation:
f(x) = x + 2
f(4x) = 4x + 2
