Answer:
Step-by-step explanation:
x>5/7
Related sides the the same ratio so if I have a square with side length 10 and a similar one with side length of 5 the ratio is 1/2 when going from big to small or 2/1 when going small to big. This is true for all sides. This allows you to find missing sides using proportions.
Answer:
Standard form: ![\left(x-\dfrac{9}{2}\right)^2+(y+5)^2=\dfrac{121}{4}.](https://tex.z-dn.net/?f=%5Cleft%28x-%5Cdfrac%7B9%7D%7B2%7D%5Cright%29%5E2%2B%28y%2B5%29%5E2%3D%5Cdfrac%7B121%7D%7B4%7D.)
This equation represents the circle with the center at the point
and the radius ![r=\dfrac{11}{2}.](https://tex.z-dn.net/?f=r%3D%5Cdfrac%7B11%7D%7B2%7D.)
Step-by-step explanation:
Consider expression ![x^2+y^2-9x+10y+15=0.](https://tex.z-dn.net/?f=x%5E2%2By%5E2-9x%2B10y%2B15%3D0.)
First, form perfect squares:
![(x^2-9x)+(y^2+10y)+15=0,\\ \\\left(x^2-9x+\dfrac{81}{4}\right)-\dfrac{81}{4}+(y^2+10y+25)-25+15=0,\\ \\\left(x-\dfrac{9}{2}\right)^2+(y+5)^2=10+\dfrac{81}{4},\\ \\\left(x-\dfrac{9}{2}\right)^2+(y+5)^2=\dfrac{121}{4}.](https://tex.z-dn.net/?f=%28x%5E2-9x%29%2B%28y%5E2%2B10y%29%2B15%3D0%2C%5C%5C%20%5C%5C%5Cleft%28x%5E2-9x%2B%5Cdfrac%7B81%7D%7B4%7D%5Cright%29-%5Cdfrac%7B81%7D%7B4%7D%2B%28y%5E2%2B10y%2B25%29-25%2B15%3D0%2C%5C%5C%20%5C%5C%5Cleft%28x-%5Cdfrac%7B9%7D%7B2%7D%5Cright%29%5E2%2B%28y%2B5%29%5E2%3D10%2B%5Cdfrac%7B81%7D%7B4%7D%2C%5C%5C%20%5C%5C%5Cleft%28x-%5Cdfrac%7B9%7D%7B2%7D%5Cright%29%5E2%2B%28y%2B5%29%5E2%3D%5Cdfrac%7B121%7D%7B4%7D.)
This equation represents the circle with the center at the point
and the radius ![r=\dfrac{11}{2}.](https://tex.z-dn.net/?f=r%3D%5Cdfrac%7B11%7D%7B2%7D.)
Answer:
16y-18 = 2(8y-9)
24y+30 = 6(4y+5)
20y+8 = 4(5y+2)
97-15 = 3(3y-5)
Step-by-step explanation:
the bold numbers are the GCF