According to Math Is Fun, real-world examples of the quadratic equation in use can be found in a variety of situations, from throwing a ball to riding a bike. In each example, the predictive qualities of the quadratic equation can be used to assess an outcome.
Know MoreMath Is Fun notes that the quadratic equation can be used to determine where a ball that has been thrown into the air is going to eventually land. The equation is used to calculate the amount of time it takes for the ball to reach its peak height and return to the ground, and the predictable nature of the parabola enables the observer to pinpoint its exact location.
The Monterey Institute explains that the quadratic equation can also be seen in the shape of the cables used on a suspension bridge. Math Is Fun explains that the quadratic equation is put to use under economic conditions as well. It is possible to determine how many units of a product need to be produced in order to result in the desired sales figures by using the parabolic nature of the quadratic equation to determine the amount of revenue that is produced for each unit being sold.
Learn more in TrigonometryIn the real world, sinusoidal functions can be used to describe mechanical functions such as the swinging of a pendulum or natural phenomena such as hours of daylight. Sinusoidal functions graph wave forms.
Full Answer >When a pitcher throws a baseball, it follows a parabolic path, providing a real life example of the graph of a quadratic equation. The parabolic function predicts if the ball arrives in the batting range for the particular hitter and the time between it leaving the pitcher's hand and crossing the plate. There are many real life examples of such shapes ranging from video games to engineering.
Full Answer >To solve the quadratic equation ax^2 + bx + c - 0, plug the corresponding numbers into the quadratic formula. Take the opposite of b, and provide the option of adding or subtracting the square root of (b^2 - 4ac). Divide the result by 2a.
Full Answer >When it is three o’clock, the two hands of the clock are on digits 12 and 3. The seconds hand moves between these two digits and forms a pair of complementary angles in real life. The sum of the two angles formed by the seconds hand is always 90 degrees.
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