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4 years ago

Which equation must be true for m(x) and n(x) to be inverse?

Mathematics

1 answer:

diamong [38]4 years ago

3 0

Answer:

see below

Step-by-step explanation:

When the functions are inverses of each other, it will be true that ...

m(n(x)) = n(m(x)) = x

The expanded form of this equation is shown below.

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a boy sitting on a platform 7.5m high he observes that the angle of elevation of the top of the opposite building is 40°.the pla

Marizza181 [45]

Answer:

The building is approximately 39 m high.

Step-by-step explanation:

As seen in the diagram attached, a triangle can be formed between the boy, the top of the building, and the lateral distance between the boy and the building.

We can now use trigonometric laws to find the distance AC between the boy's head and the top of the building.

tan 40 = AC/37.5

AC = 37.5 X tan 40 = 31.46m

We have just obtained the distance from the boy's head to the building top.

To get the true height of the building, we have to add the height of the platform the boy is standing on to the value just found.

7.5m + 31.46m = 39m

3 0

3 years ago

The point A(4, 1) is reflected over the point (0, -3) and its image is point B. What are the coordinates of point B?

omeli [17]

A reflection over the point (0,0) is given by:

$(x,y)\rightarrow(-x,-y)$

Nevertheless, the reflection is being made over the point (0,-3). We can first make a traslation of the point (0,-3) to the origin. Then, reflect the new coordinates of the point A through the origin and then bring back the new origin to (0,-3).

First, make a traslation such that the new coordinates of (0,-3) are (0,0):

$(x,y)\rightarrow(x,y+3)$

Then, apply a reflection through the origin:

$(x,y+3)\rightarrow(-x,-y-3)$

Finally, make a traslation reciprocal to the first one:

$(-x,-y-3)\rightarrow(-x,-y-3-3)=(-x,-y-6)$

Therefore, the reflection over the point (0,-3) can be written as:

$(x,y)\rightarrow(-x,-y-6)$

Substitute (x,y)=(4,1) to find out the new coordinates of A after the reflection:

$\begin{gathered} A\rightarrow B \\ \Rightarrow(4,1)\rightarrow(-4,-1-6)=(-4,-7) \end{gathered}$

Therefore, the coordinates of the point B are (-4,-7).

4 0

1 year ago

Steven earns extra money babysitting. He charges $31.25 for 5 hours and $50 for 8 hours. Write an equation to represent the rela

hichkok12 [17]

I’m not sure but this seems right

Y=6.25X

4 0

3 years ago

Plz help will give brilliant

kolezko [41]

Answer:

The answer is B

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

What is one third of the seventh whole number ?

Kitty [74]

We have to find one third of the seventh whole number.

Whole numbers is the set of numbers {0,1,2,3.....infinity}. This set starts from zero and it goes upto the infinity. Therefore, it is the set of integers or zero.

Firstly we will determine the seventh term of the whole number,

Since the first term of whole number is 0.

Second term is 1, third term is 2, fourth term is 3, fifth term is 4, sixth term is 5 and seventh term is 6.

Now, we will find one third of seventh whole number.

= $\frac{1}{3} \times 6$

=2.

6 0

3 years ago

Read 2 more answers