Answer:
The (-3x-9)=27 and (-5x-2)=10
Step-by-step explanation:
Answer:
Perpendicular
Step-by-step explanation:
Given points P=(2,6) and Q=(4,5)
The line RS is y=2x-3.
Now we know that the line joining any two points (x1,y1) and (x2,y2) has slope m=![\frac{y2-y1}{x2-x1}](https://tex.z-dn.net/?f=%5Cfrac%7By2-y1%7D%7Bx2-x1%7D)
Now the slope of the line PQ is
m1=
= -
We know that the slope of the line in the form y=mx+c is m
So the line RS has slope m2=2
Now two lines are parallel if m1=m2
And those two lines are perpendicular if ![m1*m2=-1](https://tex.z-dn.net/?f=m1%2Am2%3D-1)
here m1= -
and m2=2
clearly ![m1*m2=-1](https://tex.z-dn.net/?f=m1%2Am2%3D-1)
Therefore the two given lines are perpendicular
Answer: It’s B
Step-by-step explanation:
I just did the quiz
<u>Answer:</u>
The distance from earth to sun is 387.5 times greater than distance from earth to moon.
<u>Solution:</u>
Given, the distance from Earth to the sun is about ![9.3 \times 10^{7} \mathrm{miles}](https://tex.z-dn.net/?f=9.3%20%5Ctimes%2010%5E%7B7%7D%20%5Cmathrm%7Bmiles%7D)
The distance from Earth to the Moon is about ![2.4 \times 10^{5} \mathrm{miles}](https://tex.z-dn.net/?f=2.4%20%5Ctimes%2010%5E%7B5%7D%20%5Cmathrm%7Bmiles%7D)
We have to find how many times greater is the distance from Earth to the Sun than Earth to the Moon?
For that, we just have to divide the distance between earth and sun with distance between earth to moon.
Let the factor by which distance is greater be d.
![\text { Now, } \mathrm{d}=\frac{\text { distance between sun and earth }}{\text { distance between moon and earth }}=\frac{9.3 \times 10^{7}}{2.4 \times 10^{5}}=\frac{9.3}{2.4} \times 10^{7-5}\\\\=3.875 \times 10^{2}=387.5](https://tex.z-dn.net/?f=%5Ctext%20%7B%20Now%2C%20%7D%20%5Cmathrm%7Bd%7D%3D%5Cfrac%7B%5Ctext%20%7B%20distance%20between%20sun%20and%20earth%20%7D%7D%7B%5Ctext%20%7B%20distance%20between%20moon%20and%20earth%20%7D%7D%3D%5Cfrac%7B9.3%20%5Ctimes%2010%5E%7B7%7D%7D%7B2.4%20%5Ctimes%2010%5E%7B5%7D%7D%3D%5Cfrac%7B9.3%7D%7B2.4%7D%20%5Ctimes%2010%5E%7B7-5%7D%5C%5C%5C%5C%3D3.875%20%5Ctimes%2010%5E%7B2%7D%3D387.5)
Hence, the distance from earth to sun is 387.5 times greater than distance from earth to moon.