Answer:
Step-by-step explanation:
40a²b = 2* 2 * 2 * 5 * a² * b = 2³ * 5 * a² * b
48ab⁴ = 2 * 2 * 2 * 2 * 3 * a *b⁴ = 2⁴ * 3 * a * b⁴
LCM = 2⁴ * 3 * 5 * a² * b⁴
= 16 * 3 * 5 * a² * b⁴
= 240a²b⁴
Answer:
x^2 + y^2 = 4
Step-by-step explanation:
The center-radius form (formally called the standard form) of a circle is
(x-h)^2+(y-k)^2=r^2 where (h,k) is the center and r is the radius.
So if we replace (h,k) with (0,0) since the center is the origin and r with 2 since the radius is 2 we get:
(x-0)^2+(y-0)^2=2^2
Let's simplify:
x^2 + y^2 = 4
9514 1404 393
Answer:
227 square feet
Step-by-step explanation:
The volume of a rectangular prism is given by the formula ...
V = Bh
where B is the area of the base, and h is the height.
Filling in the given information, we have ...
2043 ft³ = B·(9 ft)
Dividing by the coefficient of B gives its value:
B = (2043 ft³)/(9 ft) = 227 ft²
The area of the floor is 227 square feet.
Answer:
Step-by-step explanation:
K=2J-3
Let's assume that the statement "if n^2 is odd, then is odd" is false. That would mean "n^2 is odd" leads to "n is even"
Suppose n is even. That means n = 2k where k is any integer.
Square both sides
n = 2k
n^2 = (2k)^2
n^2 = 4k^2
n^2 = 2*(2k^2)
The expression 2(2k^2) is in the form 2m where m is an integer (m = 2k^2) which shows us that n^2 is also even.
So this contradicts the initial statement which forces n to be odd.
