Answer:
(-5, -6)
Step-by-step explanation:
The smaller integer is x.
The larger integer is x + 1.
x + 1 = 7 + 2x
-x = 6
x = -6
x + 1 = -6 + 1 = -5
Answer: (-5, -6)
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:
Christian will grow more flower as she utilizes all her garden area for the flower growth.
Step-by-step explanation:
Flower growth is difficult process as it involves great care by a gardener. Christian also grows flowers in her three garden which are available to her. She has same size flower which she grows in her garden.
D. The elevator takes 37.5 seconds to move down to the lobby.
8x+y=300
y= 300-8x
y= 300 - 8 (37.5)
y = 300-300
y = 0
wheb y =0 that means that the height is 0
Answer:
Option A is the right answer.
146-4b = 122-1b
Reason: vertical angles
