Which interval for the graphed function contams the local maximum?
1 answer:
Answer:
Step-by-step explanation:
A local maximum or local minimum is the point where the tangent drawn to it is parallel to the x axis.
The crest of a wave is local maximum and the trough of wave is local minimum.
Here, in the graph, there are 2 troughs and 1 crest.
The crest is at . So, the local maximum is at
.
The interval of the local maximum is between and
.
So, the option that matches with the above interval is .
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Answer: Elizabeth and Manuel have a distance of 4 meters between them.
Step-by-step explanation: Please refer to the picture attached.
From the information given, Elizabeth is directly behind Hannah and directly left of Manuel. That means we have three points which are HEM, that is, we now have triangle HEM. The longest side (hypotenuse) which is the distance between Hannah and Manuel is given as 5 meters while the other side the distance between Hannah and Elizabeth is given as 3 meters.
We shall apply the pythagoras theorem in solving for the unknown side, EM.
The Pythagoras theorem states thus;
AC² = AB² + BC²
Where AC is the hypotenuse, and AB and BC are the other two sides.
Substituting for the known values, we now have;
5² = 3² + EM²
25 = 9 + EM²
Subtract 9 from both sides of the equation
16 = EM²
Add the square root sign to both sides of the equation
√16 = √EM²
4 = EM
Therefore the distance between Elizabeth and Manuel is 4 meters
