Answer:
Largest number ins scientific notation: 1.4 x 10⁹ (Diameter of sun)
Step-by-step explanation:
We need to find the largest number ins scientific notation.
The number which has highest degree would be the largest.
In the given options, Diameter of Sun has highest power i.e 10⁹
All other options have lower degrees.
So, largest number ins scientific notation: 1.4 x 10⁹ (Diameter of sun)
Answer:
30 i think
Step-by-step explanation:
The equation of line is:
![y = \frac{-3}{2}x+1](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B-3%7D%7B2%7Dx%2B1)
Further explanation:
The standard form of equation in point-slope form is:
![y = mx+b](https://tex.z-dn.net/?f=y%20%3D%20mx%2Bb)
Given equation is:
3x+2y=10
We have to convert it into point slope form, for which we have to isolate y on one side of equation
![3x+2y = 10\\2y = -3x +10\\y = \frac{-3}{2}x + \frac{10}{2}\\y = \frac{-3}{2}x + 5](https://tex.z-dn.net/?f=3x%2B2y%20%3D%2010%5C%5C2y%20%3D%20-3x%20%2B10%5C%5Cy%20%3D%20%5Cfrac%7B-3%7D%7B2%7Dx%20%2B%20%5Cfrac%7B10%7D%7B2%7D%5C%5Cy%20%3D%20%5Cfrac%7B-3%7D%7B2%7Dx%20%2B%205)
Comparing with standard form:
m = -3/2
As the new line is parallel to given line, their slopes will be equal
So,
![y = \frac{-3}{2}x+b](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B-3%7D%7B2%7Dx%2Bb)
To find the value of b, putting the given point (4,-5) in equation
![-5 = \frac{-3}{2}(4)+b\\-5 = -6+b\\b = -5+6 \\b = 1\\So\ the\ equation\ is:\\y = \frac{-3}{2}x+1](https://tex.z-dn.net/?f=-5%20%3D%20%5Cfrac%7B-3%7D%7B2%7D%284%29%2Bb%5C%5C-5%20%3D%20-6%2Bb%5C%5Cb%20%3D%20-5%2B6%20%5C%5Cb%20%3D%201%5C%5CSo%5C%20the%5C%20equation%5C%20is%3A%5C%5Cy%20%3D%20%5Cfrac%7B-3%7D%7B2%7Dx%2B1)
Keywords: Point-slope form, equation of line
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