The length of a rectangle is three times it’s width. The area of the rectangle is 48 square centimeters. Find the measures of th
1 answer:
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Answer:
x = 11.1
Its a right angle triangle with the values of its adjacent and hypotenuse given so cos is used.
We analyze the chart and observe that the linear function is 
, since this relation holds for all values in the table. Drawing this line over the quadratic function shows that they intersect twice, at both the positive and negative x-coordinates.
This is by far the easiest way to solve this problem, but if you're interested in learning how to do it algebraically, read on! To prove this more rigorously, we can find that the equation of the parabola is
Substituting in , we find that the intersection points occur where 
, or 
or 
This equation doesn't factor nicely, so we use the quadratic formula to learn that
Hence, the x-coordinates of the intersection points are 
, which is positive, and 
, which is negative. This proves that there are intersection points on both ends of the axis.
This is by far the easiest way to solve this problem, but if you're interested in learning how to do it algebraically, read on! To prove this more rigorously, we can find that the equation of the parabola is
This equation doesn't factor nicely, so we use the quadratic formula to learn that