Answer:
a) The set of natural numbers greater than or equal to 3 and less than or equal to 6.
b) {3,4,5,6}
Step-by-step explanation:
a) The Roster form is given as {6,8,10,12,...}
The descriptive form is a phrase that describes the given set.
The descriptive form is: <em>The set of even natural numbers greater than or equal to 6.</em>
b) The descriptive form is : The set of natural numbers greater than or equal to 3 and less than or equal to 6.
The Roster form is obtained by listing the numbers between 3 and 6 inclusive in curly brackets.
The Roster form is : {3,4,5,6}
Hello!
To find the area of a circle you do
the "r" stands for radius which is half the diameter
So we do
Which gives us the answer of 314.16
Hope this helps!
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:
-12
Step-by-step explanation:
4 time 3 is 12
since he owes her its negative, so it is -12
Answer:
B. 785 M
Step-by-step explanation:
Circumference = 2*pi*r
C = 2 * pi * 125
C = 250pi This is the exact answer
Now approximating with pi as 3.14
C = 250 (3.14)
C = 785
