To use an equation to predict a pattern, we substitute the value of the input variable in the equation.
<h3>What are equations?</h3>
- Equations are used to represent expressions of equal values
- Equations are represented by the "=" sign
<h3>Using equation to predict a pattern</h3>
To use an equation to predict a pattern, we simply substitute the value of the independent variable in the equation.
Take for instance, we have the following equation that represents a pattern
![y = 2x + 1](https://tex.z-dn.net/?f=y%20%3D%202x%20%2B%201)
In the above equation, we have:
- x represents the independent variable i.e. the input
- y represents the dependent variable i.e. the output
When x = 1, y = 3
When x = 2, y = 5
When x = 3, y = 7
So, a pattern from the equation could be 3, 5, 7....
Read more about equation and patterns at:
brainly.com/question/15590116
The difference of the distances traveled by the comets for any given number of minutes is 25t.
Since the first comet travels at a speed of 30,000 miles per hour, the distance it travels in t minutes is d = 30000 mph × 1 h/60 min × t = 500t miles.
Also, the second comet travels at a speed of 28,500 miles per hour, the distance it travels in t minutes is d' = 28,500 mph × 1 h/60 min × t = 475t miles.
So, the difference in the distances traveled by the comets D = d - d'
= 500t - 475t
= 25t
So, the difference of the distances traveled by the comets for any given number of minutes is 25t.
Learn more about distance traveled by comets here:
brainly.com/question/11458136
Some answers are 12:14, 18:21, and 24:28
Arctan (√3 /3) = 30°. = π/6 rad
That is the value searched, in degrees and radians.
You can verifiy that tan(30°) = sin(30°) / cos(30°) = [1/2] / [√3/2] = 1/√3 = √3 / 3
Finding the difference is the same as subtracting the smaller from the larger