First you need to find how many yards is in 1 feet , so is equal = 3feet , Now you need to find one number that is multiply by 3 that is equal to 42 so that is : 14 .. I hope that this can help you :)
I will explain you and pair two of the equations as an example to you. Then, you must pair the others.
1) Two circles are concentric if they have the same center and different radii.
2) The equation of a circle with center xc, yc, and radius r is:
(x - xc)^2 + (y - yc)^2 = r^2.
So, if you have that equation you can inmediately tell the coordinates of the center and the radius of the circle.
3) You can transform the equations given in your picture to the form (x -xc)^2 + (y -yc)^2 = r2 by completing squares.
Example:
Equation: 3x^2 + 3y^2 + 12x - 6y - 21 = 0
rearrange: 3x^2 + 12x + 3y^2 - 6y = 21
extract common factor 3: 3 (x^2 + 4x) + 3(y^2 -2y) = 3*7
=> (x^2 + 4x) + (y^2 - 2y) = 7
complete squares: (x + 2)^2 - 4 + (y - 1)^2 - 1 = 7
=> (x + 2)^2 + (y - 1)^2 = 12 => center = (-2,1), r = √12.
equation: 4x^2 + 4y^2 + 16x - 8y - 308 = 0
rearrange: 4x^2 + 16x + 4y^2 - 8y = 308
common factor 4: 4 (x^2 + 4x) + 4(y^2 -8y) = 4*77
=> (x^2 + 4x) + (y^2 - 2y) = 77
complete squares: (x + 2)^2 - 4 + (y - 1)^2 - 1 = 77
=> (x + 2)^2 + (y - 1)^2 = 82 => center = (-2,1), r = √82
Therefore, you conclude that these two circumferences have the same center and differet r, so they are concentric.
The fraction for the above ratio is 5/9
Where 5- no of cups of bread crumbs needed; 9= pounds of ground beef needed
Step-by-step explanation:
Anything that can be represented in the x/y form constitutes the fraction.
The above statement can be represented in the fraction form as 5/9. It means that for every 9 pounds of ground beef, 5 cups of bread crumbs are needed.
The above fraction provides the ratio in the form of cups of bread crumb/ pound of ground beef required. Where 5 represents the number of cups of bread crumbs required, 9 represents the pound of ground beef needed for the same.
since AC is too short the answer would be
AC + CB < AB
Answer:
5/24 or in decimal form 0.2083
Hope this helped
