Let , coordinate of points are P( h,k ).
Also , k = 3h + 1
Distance of P from origin :
![d=\sqrt{h^2+k^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7Bh%5E2%2Bk%5E2%7D)
Distance of P from ( -3, 4 ) :
![d=\sqrt{(h+3)^2+(k-4)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28h%2B3%29%5E2%2B%28k-4%29%5E2%7D)
Now , these distance are equal :
![h^2+(3h+1)^2=(h+3)^2+(3h+1-4)^2\\\\h^2+(3h+1)^2=(h+3)^2+(3h-3)^2](https://tex.z-dn.net/?f=h%5E2%2B%283h%2B1%29%5E2%3D%28h%2B3%29%5E2%2B%283h%2B1-4%29%5E2%5C%5C%5C%5Ch%5E2%2B%283h%2B1%29%5E2%3D%28h%2B3%29%5E2%2B%283h-3%29%5E2)
Solving above equation , we get :
![P=(\dfrac{16}{21},\dfrac{23}{7})](https://tex.z-dn.net/?f=P%3D%28%5Cdfrac%7B16%7D%7B21%7D%2C%5Cdfrac%7B23%7D%7B7%7D%29)
Hence , this is the required solution.
Answer:
3/7
Step-by-step explanation:
total cards 3+4 = 7
Not green = 7-4 = 3 cards
P ( not green )= not green cards / total = 3/7
Its 56$ and you saved 14$
Answer:
4.5 hours
Step-by-step explanation:
8:2h = 18:x
8x = 18×2h
x = 36h/8
x = 4.5
hope this helps :)
Answer:
Jamie spent $39.36 in total.
Step-by-step explanation:
First, add the money spent for the sandwich, beverage, and fruit together.
4.75 + 1.25 + .56 = 6.56
Then, multiply the amount spent for one friend by six to find the total.
6.56 x 6 =39.36
I hope this helped you!