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Vitek1552 [10]
3 years ago
14

An electric pole, 14 metres high, casts a shadow of 10 metres. Find the height of a tree that Casts a Shadow of 15 metres under

similar conditions. ​
Mathematics
1 answer:
kodGreya [7K]3 years ago
8 0

Answer: The height of the tree will be 21 meters

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Please help with the attached question. Thanks
Mademuasel [1]

Answer:

Choice A) F(x) = 3\sqrt{x + 1}.

Step-by-step explanation:

What are the changes that would bring G(x) to F(x)?

  • Translate G(x) to the left by 1 unit, and
  • Stretch G(x) vertically (by a factor greater than 1.)

G(x) = \sqrt{x}. The choices of F(x) listed here are related to G(x):

  • Choice A) F(x) = 3\;G(x+1);
  • Choice B) F(x) = 3\;G(x-1);
  • Choice C) F(x) = -3\;G(x+1);
  • Choice D) F(x) = -3\;G(x-1).

The expression in the braces (for example x as in G(x)) is the independent variable.

To shift a function on a cartesian plane to the left by a units, add a to its independent variable. Think about how (x-a), which is to the left of x, will yield the same function value.

Conversely, to shift a function on a cartesian plane to the right by a units, subtract a from its independent variable.

For example, G(x+1) is 1 unit to the left of G(x). Conversely, G(x-1) is 1 unit to the right of G(x). The new function is to the left of G(x). Meaning that F(x) should should add 1 to (rather than subtract 1 from) the independent variable of G(x). That rules out choice B) and D).

  • Multiplying a function by a number that is greater than one will stretch its graph vertically.
  • Multiplying a function by a number that is between zero and one will compress its graph vertically.
  • Multiplying a function by a number that is between -1 and zero will flip its graph about the x-axis. Doing so will also compress the graph vertically.
  • Multiplying a function by a number that is less than -1 will flip its graph about the x-axis. Doing so will also stretch the graph vertically.

The graph of G(x) is stretched vertically. However, similarly to the graph of this graph G(x), the graph of F(x) increases as x increases. In other words, the graph of G(x) isn't flipped about the x-axis. G(x) should have been multiplied by a number that is greater than one. That rules out choice C) and D).

Overall, only choice A) meets the requirements.

Since the plot in the question also came with a couple of gridlines, see if the points (x, y)'s that are on the graph of F(x) fit into the expression y = F(x) = 3\sqrt{x - 1}.

5 0
3 years ago
Read 2 more answers
Answer quick for brainliest!
Gnom [1K]

A

Step-by-step explanation:

8 0
3 years ago
The Fun Committee is hosting the Annual City Festival. Jennifer is in charge of the committee and is planning a race to raise mo
nadya68 [22]

Answer: Hello your question some data but i will provide a general solution based on the scope of your question making some suggestions as well

answer : Summation of displacements ( back and forth distance ) / Number of Runners

Step-by-step explanation:

Given that ; the aim of the race is to raise money

The number of miles/ distance covered will determine how much money that would be raised

Formula to resolve the problem =  Summation of displacements ( back and forth distance ) / Number of Runners

<em>Lets assume: ( example ) </em>

<em> Distance between the Park and the City hall is = 6 miles </em>

<em>Number of runners = 4</em>

<em>Given that the runners Run  from the Park to the City hall and then run back</em>

<em>Total miles covered by each runner = ( 6 + 6 )/ 4  = 12/4 = 3 miles </em>

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3 years ago
Sharon manages the Spirit Supply store at Lakefield Middle School. She tracks the sale of various items in her inventory so that
Airida [17]
Here is a graph. I hope it helped :)

7 0
3 years ago
How to find the perimeter of a square with consecutive verticie s
Lorico [155]
You add up all of the sides
6 0
3 years ago
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