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AveGali [126]
3 years ago
6

What is the amplitude of the function graphed?

Mathematics
1 answer:
-Dominant- [34]3 years ago
4 0
Looks like it would be 2 since the amplitude to the peak is 3, but the amplitude to the trough is 1. So u add both together to get 4 and divide by 2 and you end up with 2.
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Label the vertices and state the Pythagorean Theorem for the following right triangle. Find x.
Ganezh [65]

Answer:

Pythagorean Theorem Statement is below.

Therefore the value of x is 9 m.

Step-by-step explanation:

Given:

Label the vertices as A , B , C shown in figure below such that

∠A = 90°

AC = Longer leg = 12 m

AB = Shorter leg = x

BC = Hypotenuse = 15 m

To Find:

x = ?

Solution:

Pythagorean Theorem :

Pythagorean Theorem States that "the square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides".

Which can be Written as

(\textrm{Hypotenuse})^{2} = (\textrm{One Side})^{2}+(\textrm{Other Side})^{2}

OR

(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}

i.e (BC)^{2}=(AB)^{2}+(AC)^{2}

Substituting the values AB ,AC, BC we get

(15)^{2}=(x)^{2}+(12)^{2}\\(x)^{2}=225-144=81\\(x)^{2}=81\\Square\ Rooting\\x=\sqrt{81}=9\\x=9\ m

Therefore the value of x is 9 m.

4 0
3 years ago
)Consider the following pair of equations: y = −2x + 8 y = x − 1 Explain how you will solve the pair of equations by substitutio
Ira Lisetskai [31]

Hi there,

Take y from first equation and use it / substitute it into the second equation:

-2x + 8 = x - 1, so 3x = 9, therefore x = 3.

Then y = x - 1 = 3 - 1 => y = 2.

Solution is (3,2).

A quick check: 2 = -2*3 + 8, true, and 3 = 2 - 1, also true.

Green eyes.

5 0
3 years ago
|-3 + 15| what is the sum (answer) ? I think it is 12 but my friend thinks it is 18. Who is right?
Aliun [14]
I do believe it is 12 as well considering the fact that it's negative three and not positive. If it was a positive three then maybe it would be 18.
4 0
3 years ago
Read 2 more answers
Pie charts without the amount of things?
tangare [24]
You can find total number of cars doing this:
72° - 8 cars
360° - X cars

X = (360 * 8) / 72

You follow the logic for the cars
7 0
3 years ago
Solve -2x – 6y = 30 for y.
OLEGan [10]
Your answer is A. Y=5- 1/3x
7 0
3 years ago
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