Answer:
B. ![y=8x](https://tex.z-dn.net/?f=y%3D8x)
Step-by-step explanation:
A proportional relationship in 'x' and 'y' is given as:
![y=kx](https://tex.z-dn.net/?f=y%3Dkx)
Where, 'k' is called as the constant of proportionality.
So, the graph of a proportional relationship always crosses the origin.
This means that the 'x' and 'y' intercepts of a proportional relationship is always at the origin (0, 0).
From among all the options, the option that matches the definition of a proportional relationship is option B. ![y=8x](https://tex.z-dn.net/?f=y%3D8x)
Here,
.
Therefore, the correct option is option B.
First, you are going to want to get the terms to the same power of 10 in scientific notation. Realize that
. Essentially, we have converted the
to a term with
. Now, we can subtract the values in each term that are not 10 as shown below:
![93 \cdot 10^6 - 3.14 \cdot 10^6](https://tex.z-dn.net/?f=93%20%5Ccdot%2010%5E6%20-%203.14%20%5Ccdot%2010%5E6)
![(93 - 3.14) \cdot 10^6](https://tex.z-dn.net/?f=%2893%20-%203.14%29%20%5Ccdot%2010%5E6)
![89.86 \cdot 10^6](https://tex.z-dn.net/?f=89.86%20%5Ccdot%2010%5E6)
Remember that we have to turn it back to scientific notation once we are done!
![89.86 \cdot 10^6 = 8.986 \cdot 10^7](https://tex.z-dn.net/?f=89.86%20%5Ccdot%2010%5E6%20%3D%208.986%20%5Ccdot%2010%5E7)
Our answer is the second choice,
. (This is the closest answer to
.)
The value of x must be 25.0. The correct option is the second option- 25.0
<h3>Solving Linear equations </h3>
From the question, we are to determine the value of x
From the given diagram, we can write that
m ∠SOR + m ∠UOR + m ∠TOU = 180° (<em>Sum of angles on a straight line</em>)
∴ (2x +8)° + (3x - 14)° + (3x -14)° = 180°
2x° + 8° + 3x° -14° + 3x° -14° = 180°
Collect like terms
2x° + 3x° + 3x° + 8° - 14° -14° = 180°
8x° -20° = 180°
8x° = 180° + 20°
8x° = 200°
x = 200/8
x = 25.0
Hence, the value of x must be 25.0. The correct option is the second option- 25.0
Learn more Solving linear equations here: brainly.com/question/1413277
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