In the first few steps for deriving the quadratic formula left side of the equation due to the distributive property for balancing the equation.
<h3>What is quadratic equation?</h3>
A quadratic equation is the equation in which the highest power of the variable is two.
Here, The first few steps in deriving the quadratic formula are shown in the table.
Use the substitution property of equality to solve it further,
-c=-ax² +bx
Now factor out the term a, to solve further as,
- c = a (x² + b/a x)
for half of the b value and square it to determine the constant of the perfect square trinomial as,
(b/2a)² = b²/4a²
Now the distributive property needs to be applied to determine the value to add to the left side of the equation to balance the sides of the equation.
-c + b²/4a² = a(x² + b/a x + b²/4a² )
Thus, the distributive property needs to be applied to determine the value to add to the left side of the equation to balance the sides of the equation.
Learn more about Quadratic equation from:
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1 5/6 is the correct answer.
Answer:
About 108 times
Step-by-step explanation:
Given:
An average soccer player travels 7 miles during a game
A typical field is 104 meters long.
To find:
How many times did the average soccer play travel the length of the field?
Solution:
An average soccer player travels during the game = 7 miles
First convert 7 miles into meters, 1 mile = 1609.34 meter
7 mile = 1609.34 \times 7 = 11265.41 m
Length of field = 104 meters
To find number of times average soccer player travel the length of the field, we will divide an average soccer player travels during the game by Length of field
11265.41 m 
104 = 108.32
Therefore, about 108 times average soccer player travel the length of the field
We can find a and b using inverse trig functions,
Hope this helps.
