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Law Incorporation [45]
3 years ago
8

The equation below describes a proportional relationship between x and y. What is the constant of​ proportionality?

Mathematics
2 answers:
ZanzabumX [31]3 years ago
6 0
The given equation is
y = x
→
reciprocating both sides, we get
→ ............(1)
→ Here x and y are Directly proportional to each other.
which means ,
→ x = k y , where k is constant of proportionality.
Or , = k ............................(2)
Equating (1) and (2),
k =
MAVERICK [17]3 years ago
6 0
Yea that’s the answer
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Domain and range of the graph, is it a function?​
Elenna [48]

Answer:

  • domain: [0, ∞)
  • range: (-∞, ∞)
  • not a function

Step-by-step explanation:

The arrows indicate the graph continues indefinitely in the direction indicated.

The domain is the horizontal extent, so is the interval from 0 to infinity, including 0.

The range is the vertical extent, so extends from negative infinity to positive infinity (all real numbers).

The graph does not pass the vertical line test: a vertical line intersects it in more than one place, so the relation is NOT a function.

4 0
3 years ago
Simplify 5 to the negative 4th power over 5 to the 3rd
Licemer1 [7]
"<span>5 to the negative 4th power over 5 to the 3rd</span>" translates to

5⁻⁴ / 5³

So you can just combine exponents.

5⁻⁴ / 5³ = 5⁻⁴ ⁻ ³ = 5⁻⁷ = 1/5⁷

Final answer: 1/5⁷
4 0
3 years ago
Need help please, thanks!
MakcuM [25]
Given:
1 inch : 18 kilometers

Let us use the ratio and proportion method:

a:b = c:d where ad = bc

0.8 inches is <u>14.4 kilometers</u>

1 : 18 = 0.8 : x
x = 0.8 * 18
x = 14.4 km

1.4 inches is <u>25.2 kilometers</u>

1: 18 = 1.4 : x
x = 18 * 1.4
x = 25.2 km

2.1 inches is <u>37.8 kilometers</u>

1 : 18 = 2.1 : x
x = 18 * 2.1
x = 37.8 km

4 0
3 years ago
How do you get an equation to solve for all 3 sides of a triangle?
slavikrds [6]

In your solving toolbox (along with your pen, paper and calculator) you have these 3 equations:

1. The angles always add to 180°:

A + B + C = 180°

When you know two angles you can find the third.

 

2. Law of Sines (the Sine Rule):

Law of Sines

When there is an angle opposite a side, this equation comes to the rescue.

Note: angle A is opposite side a, B is opposite b, and C is opposite c.

 

3. Law of Cosines (the Cosine Rule):

Law of Cosines

This is the hardest to use (and remember) but it is sometimes needed  

to get you out of difficult situations.

It is an enhanced version of the Pythagoras Theorem that works  

on any triangle.

With those three equations you can solve any triangle (if it can be solved at all).

Six Different Types (More Detail)

There are SIX different types of puzzles you may need to solve. Get familiar with them:

1. AAA:

This means we are given all three angles of a triangle, but no sides.

AAA Triangle

AAA triangles are impossible to solve further since there are is nothing to show us size ... we know the shape but not how big it is.

We need to know at least one side to go further. See Solving "AAA" Triangles .

 

2. AAS

This mean we are given two angles of a triangle and one side, which is not the side adjacent to the two given angles.

AAS Triangle

Such a triangle can be solved by using Angles of a Triangle to find the other angle, and The Law of Sines to find each of the other two sides. See Solving "AAS" Triangles.

 

3. ASA

This means we are given two angles of a triangle and one side, which is the side adjacent to the two given angles.

ASA Triangle

In this case we find the third angle by using Angles of a Triangle, then use The Law of Sines to find each of the other two sides. See Solving "ASA" Triangles .

 

4. SAS

This means we are given two sides and the included angle.

SAS Triangle

For this type of triangle, we must use The Law of Cosines first to calculate the third side of the triangle; then we can use The Law of Sines to find one of the other two angles, and finally use Angles of a Triangle to find the last angle. See Solving "SAS" Triangles .

 

5. SSA

This means we are given two sides and one angle that is not the included angle.

SSA Triangle

In this case, use The Law of Sines first to find either one of the other two angles, then use Angles of a Triangle to find the third angle, then The Law of Sines again to find the final side. See Solving "SSA" Triangles .

 

6. SSS

This means we are given all three sides of a triangle, but no angles.

SSS Triangle

In this case, we have no choice. We must use The Law of Cosines first to find any one of the three angles, then we can use The Law of Sines (or use The Law of Cosines again) to find a second angle, and finally Angles of a Triangle to find the third angle.

7 0
3 years ago
Read 2 more answers
A single die is rolled one time. Find the probability of rolling a number greater than 4 or less than 3
Tomtit [17]
You have a 2/6 chance of rolling <span>a number greater than 4 or less than 3 which reduces to 1/3
2/6 = 1/3</span>
8 0
3 years ago
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