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.
SeconAnswer:
Step-by-step explanation:
First question answer is 390.66 m
1 mile_1609.34 m
1000m=1km
2km=2x1000=2000m
2000km - 1609.34m=390.66m
Se ond question 6x10000=60000cm2
i think the answer is(1,0) im not sure
Complete question :
What is the average amount of milk used for an order of pancakes? Enter your answer as a fraction or mixed number in simplest form.
1/2c, 1/4c, 1/2c, 3/4c, 1/2c, 3/4c, 1/2c, 1/4c, 1/2c, 1/2c
Answer:
1/2c
Step-by-step explanation:
Taking the sum :
1/2c + 1/4c + 1/2c + 3/4c + 1/2c + 3/4c + 1/2c + 1/4c + 1/2c + 1/2c = 6/2c + 2/4c + 6/4c
6/2c + 2/4c + 6/4c
3/1 + 1/2 + 3/2 = (6 + 1 + 3) / 2 = 10 /2
= 5
Total number of orders = 10
Average = 5 / 10 = 1 /2 c
The answer for the 2nd one is c ur welcome btw idk what 1 is sry
