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mash [69]
3 years ago
6

The graph represents the height y, in meters, above the ground of a water balloon x seconds after it is dropped from a window.

Mathematics
2 answers:
Nezavi [6.7K]3 years ago
6 0
The balloon is in the air for 3sThe max height is 44mThe max height occurs at x=0

kotegsom [21]3 years ago
5 0

Answer:

i)The maximum height of the water balloon occurs at x = 0.

iii) The water balloon travels at 3 m/s .

v)The maximum height of the water balloon is 44 m.

vi)The water balloon is in the air for 3 s.

Step-by-step explanation:

We are given the graph that represents height of a water balloon.

In the given graph, the x-axis represents the time (s) and the y-axis represents the height(m) of the ball.

From the given graph, we can interpret the following information.

i) when s = 0, the height of the ball is 44 meter which is the maximum height of the ball.

ii) when s = 3, the ball reaches the ground.

iii) The ball in the air from s = 0 to 3 seconds.

Therefore, the following statements are true:

i) The maximum height of the water balloon occurs at x = 0.

iii) The water balloon travels at 3 m/s .

v)The maximum height of the water balloon is 44 m.

vi)The water balloon is in the air for 3 s.

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If the polygon is translated 4 units down and 5 units right, what will the coordinates of the new image be? Use prime notation i
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Using prime notation, the new coordinates after translation are;

<em>New coordinates;</em>

A': (-1, 1)

B': (-1, -2)  

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D': (3, 2)

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A(-6, 5)

B(-6, 2)

C(-2, 2)

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  • Translating the polygon down by x units means the value of the y-coordinates will reduce by 4.
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  • Applying these translation numbers to our coordinates, we will now have;

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Simplifying each of them gives us the new coordinates as;

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Which of the following describes the behavior of the graph shown over the interval (-2,2)?
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Hello!

We are trying to describe the behavior of the graph given in the question.

To help us understand how to solve this question, we would need to understand <u>concavity.</u>

There are two types of concavity:

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When a graph is concave up, the slope of the line would look like a "U".

When a graph is concave down, the slope of the line would look like a "U" that is flipped upside down.

In this case, we can see that the graph is concave down.

We can tell that the <em>slope</em> is negative due to the fact that the slope is going <u>down,</u> which results in the graph having a negative slope.

We can also tell that the graph is decreasing due to the fact that the line is doing downward.

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