Answer:
Infinite Decimals.
Rational numbers can be represented as a fraction.
Infinite decimals cannot be represented as fractions, therefore they are not rational.
Let the two consecutive even integers be x and x+2.
Then x^2 = (x+2) + 10
Simplifying, x^2-x -2 - 10 = 0, or x^2 - x - 12 = 0. Factoring,
(x-4)(x+3) = 0. Solving for x: x=4 and x= -3.
If the first number is x = 4, then the second is x+2=4+2=6.
But wait! If the first number is -3, then the second is x+2 = -3+2 = -1.
Do NOT accept these answers until after you've checked them!
Answer: A result of shifting a circle with equation (x+3)^2+(y-2)^2=36 up 3 units is: (x+3)^2+(y-5)^2=36
To shift a graph "a" units up, we must replace in the equation "y" by "y-a" when y is not isolated; or if y is isolated, you add "a" to the right side of the equation.
In this case we want to shift the graph of the circle 3 units up, then a=3, and we must replace in the equation of the circle "y" by "y-3":
(x+3)^2+[(y-3)-2]^2=36→
(x+3)^2+(y-3-2)^2=36→
(x+3)^2+(y-5)^2=36
Answer: A result of shifting a circle with equation (x+3)^2+(y-2)^2=36 up 3 units is: (x+3)^2+(y-5)^2=36
Answer:
C. Dot plots are used to show a distribution of data.