A line that is parallel has the same slop where a line that is perpendicular has a slop that is negative and reciprocal.
so for the parallel one you don't need to worry about the slop because it will be 2/3x. But yous the point slope equation form
y-y1=m(x-x1)
y+5=2/3(x+2)
y+5=2/3x+ 4/3
y=2/3x-11/3
-2/3x+y=-11/3
multiple by -1 so A inst negative
2/3-y=11/3
For a line that is perpendicular you just need to flip the original 2/3x slope and make it negative.
y+5=-3/2(x+2)
y+5=-3/2x-3
y=-3/2x-8
3/2x+y=-8
![a_n=48+3(2n-1)](https://tex.z-dn.net/?f=a_n%3D48%2B3%282n-1%29)
The formula of the sum of the arithmetic sequence:
![S_n=\dfrac{a_1+a__n}{2}\cdot n](https://tex.z-dn.net/?f=S_n%3D%5Cdfrac%7Ba_1%2Ba__n%7D%7B2%7D%5Ccdot%20n)
calculate:
![a_1=48+3(2\cdot1-1)=48+3=51](https://tex.z-dn.net/?f=a_1%3D48%2B3%282%5Ccdot1-1%29%3D48%2B3%3D51)
substitute
![S_n=\dfrac{51+48+3(2n-1)}{2}\cdot n=\dfrac{99+6n-3}{2}\cdot n=\dfrac{96+6n}{2}\cdot n=3n^2+48n](https://tex.z-dn.net/?f=S_n%3D%5Cdfrac%7B51%2B48%2B3%282n-1%29%7D%7B2%7D%5Ccdot%20n%3D%5Cdfrac%7B99%2B6n-3%7D%7B2%7D%5Ccdot%20n%3D%5Cdfrac%7B96%2B6n%7D%7B2%7D%5Ccdot%20n%3D3n%5E2%2B48n)
Your answer is:
706 ÷ 0363
1.94490358127 is your answer.
Answer:
A number, such as 10 is a composite number because it is even.