Answer:
Ok so I know the angle is acute
Step-by-step explanation:
because the angle looks smaller than a 90 degree angle...
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.
Answer:
Percentage of total I have = 80%
Step-by-step explanation:
Given:
Price of Box = $60
I Have = $48
To Find:
Percentage I have = ?
Solution:
In this question we are just supposed to find out the percentage of the Value we have so
Percentage can be found by the formula
Percentage 
%
Now we have the values of all
So putting in the values
Percentage 
%
%
= 80%
So the Percentage of total cost I have is 80%
Percentage of total = 80%
Answer
22 WHOLE bicycles
Step by step explanation
If you divide 100.50 by 50 you get how much it cost for each bicycle which is 2.01 and when you divided 45 by 2.01 you get 22 and a bunch of random numbers but you can’t get that part of a bicycle because you are not going to cut a bicycle into pieces so you will be able to buy 22 and you will have some left over money but that doesn’t matter you can get 22 whole bicycle with 45 dollars
Answer:
The area will be<u> </u><u>113.1</u>
Step-by-step explanation:
hope it helps u
have a great day
