Carlos graphs the equations y = 0.5x2 + 3 and y = –4x2 + 24x – 35 and generates the graph below. Which conclusion is supported b
y the graph?
2 answers:
Answer with explanation:
The equation of two parabolas are :
Drawing the graph of both the function on Desmos graphing :
The first parabola has vertex at , (0,3) and axis along positive x axis.
The second parabola is opening Downwards having vertex at, (3,1) and opening Downwards.
The parabola does not have a single point of intersection.
0 intersection point.
Answer:
It has no solution
Step-by-step explanation:
Here we have to draw the graph of y = 0.5x^2 + 3 and y = -4x^2 + 24x - 35.
I have attached the graph of these two functions.
Since the graphs of the functions didn't cut each other.
Therefore, answer is "it has no solution."
Hope this will helpful.
Thank you.
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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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