Days: 0 4 8 12 16
Cost: 60, 100, 140, 180, 220.
(Add 40 each time, except the first, because you paid $60 to get in)
Do the same with Y.
Answer:
3. 16.67
4. 25
Step-by-step explanation:
3. x+2÷8=14/6 (similar triangles have corresponding proportional sides)
x+2=(7×8)/3
x=56/3-6/3 (LCM)
x= 50/3
4. 27/72= (-4+4x)/64
3/2= (-1+x)/16
-1+x=24
x=24+1
Answer:
The answer would be 19
Step-by-step explanation:
You plug in the x and y values, and it looks like this
2(4)^2/8+5(3)
Simplify
2(16)/8+15
32/8+15
4+15
--->19<---
Answer:
3
Step-by-step explanation:
because you would divide 9 by 3 because 9 cakes and then 3 bags of flower 1 bag of flower to 3 cakes
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.
