Who can help me with exponential growth and decay for my homework.
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Answer:
2 sets of possible solutions:
x=3, y = 5
and
x=-1, y = -3
Step-by-step explanation:
Using the graphical method, (see attached)
you can graph both equations and find their intersection points.
From the attached plot, you can see that the graphs intersect at (3,5) and (-1,-3)
Alternatively, you can solve this numerically by solving the following system of equations. You will get the same answer.
y = 2x + 1 ------------------- eq. (1)
y = x² - 4 ------------------- eq. (2)
It has been proven that of all line segments drawn from a given point not on it, the perpendicular line segment is the shortest.
<h3>How to prove a Line Segment?</h3>We know that in a triangle if one angle is 90 degrees, then the other angles have to be acute.
Let us take a line l and from point P as shown in the attached file, that is, not on line l, draw two line segments PN and PM. Let PN be perpendicular to line l and PM is drawn at some other angle.
In ΔPNM, ∠N = 90°
∠P + ∠N + ∠M = 180° (Angle sum property of a triangle)
∠P + ∠M = 90°
Clearly, ∠M is an acute angle.
Thus; ∠M < ∠N
PN < PM (The side opposite to the smaller angle is smaller)
Similarly, by drawing different line segments from P to l, it can be proved that PN is smaller in comparison to all of them. Therefore, it can be observed that of all line segments drawn from a given point not on it, the perpendicular line segment is the shortest.
Read more about Line segment at; brainly.com/question/2437195
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