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Luda [366]
2 years ago
14

The foot of a ladder is placed 7meters from a wall. If the top of the ladder rests ,How long is the ladder

Mathematics
1 answer:
Virty [35]2 years ago
6 0

Answer: 11.4 m

Step-by-step explanation:

The scenario depicted is that of a right angled triangle with the 7 meters being the base and the 9 meters being the height.

The length of the ladder will therefore be the Hypothenuse.

Using the Pythagorean Rule:

a² + b² = c²

with c being the hypothenuse

7² + 9² = c²

49 + 81 = c²

c²= 130

c = √130

c = 11.4 m

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To rewrite this without the superfluous framework, erase the parts "Suppose that the statement is false" and "The fact that the statement is true contradicts the assumption that the statement is false. Thus, the assumption that the statement was false must have been false. Thus, the statement is true."

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The illustration below shows the graph of y as a function of x.
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Answer:

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Step-by-step explanation:

<u>Definition</u>

  • A parabola is a curve where any point is at an equal distance from:

               a fixed point (the focus ), and

               a fixed straight line (the directrix )

From the graph we can see that this is indeed so. We can even calculate the parabola equation from the given graph but since that is not required, I am not illustrating the steps here to do that

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  • The x-intercepts are the x-values where the parabola crosses the x-axis and we can see that this occurs at x = 2 and x = 6
  • The greatest value of y occurs at the vertex of the parabola and we see that the vertex is at (4,2) ie greatest value of y is at y = 2 and occurs at x=4
  • Between x =2 and x = 6 we see that the y values greater than 0 ie y > 0

(Note on last question: If you exclude these two points then y > 0 between x=2 and x=6.Specifically it is 0 at x =2 and x=6 and > 0. So if you include these two points then y ≥ 0.  I have taken it as excluding the two points, x = 2 and x =6)

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