Answer:
19 x 3 = 57
19 plus 19 plus 19 = 57
19 to the power of 3 squared = 6859
Step-by-step explanation:
Answer:
into a pyramid i think...
Answer:
Step-by-step explanation:
Let the time taken by the john to get to his uncle be x.
Let the time taken by the john to get back from his uncle be y.
So,
x+y=12 ------ equation 1
According to the given velocities:
20x=30y
x=3/2y
Put the value x=3/2y in equation 1
3/2y+y =12
3y+2y/2=12
3y+2y=12*2
5y=24
y=24/5
y=4.8h
Now put the value of y in x=3/2y
x=3/2*4.8
x=14.4/2
x=7.2h ....
See https://web2.0calc.com/questions/help-please_82538.
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.
