This is the equation for a circle! Start by grouping all the x terms together and do the same with the y terms so you get this: (x^2 - 14x) + (y^2 - 18y) + 105 = 0
Now move the 105 over to the other side to get it out of the way (it is part of the radius so it will be moved over there eventually anyway). Now we have:
(x^2 - 14x) +(y^2 - 18y) = -105. To complete the square on the x terms, take half the linear term (the 14) which is 7 and square it to get 49. That's what's added in to complete the square on the x's. But since you added it on the left, you also have to add it to the -105 on the right:
(x^2 - 14x + 49) + (y^2 - 18y) = -105 + 49 so far. Now do the same to the y terms by taking half of the linear term (the 18) and squaring it to get 81. That's what's added in on the left so it also has to be added in on the right:
(x^2 -14x + 49) + (y^2 - 18y +81) = -105 + 49 + 81. Simplifying all of this mess reduces to: (x-7)^2 + (y-9)^2 = 25 which is the equation of a circle with a center of (7, 9) and a radius of 5. Those are so much fun!
C. There were 5 footballs sold for every 2 basketballs. to check just multiply 2 times 2.5 and you get 5. Hope this helped
You can think of it as two separate fractions. 1/2 divided by 3/1. You can solve this by multiplying the first fraction by the reciprocal of the second fraction. A reciprocal is switching the fraction by turning it over. So you just have to solve 1/2 multiplied by 1/3. As a result you get 1/6 as the answer! Hope this helped!
Answer:
420
Step-by-step explanation:
Answer:
Step-by-step explanation:
- 3(8+9) = Parenthesis
- 3(17) = Multiplication
- 51
