Answer: Your answer is B
Step-by-step explanation:
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The x coordinate for N is 2 and for N' it is -5
The translation from 2 to -5 is -7, so x - 7 is the translation.
The y coordinate for N is 3 and for N' it is 8, and the translation between both is +5, so y + 5 is the translation.
Therefore, the answer would be (x - 7, y + 5) (Option C)).
The surface area of a sphere is...
A = 4 pi r^2
We would find the radius in which we make this an equation of the radius.
r = (sqrt A pi) / 2 pi
Once we identify r we would then input the radius in the equation for the volume of a sphere....
<span>V = 4/3 pi r^3</span>
Answer:
First, a rational number is defined as the quotient between two integer numbers, such that:
N = a/b
where a and b are integers.
Now, the axiom that we need to use is:
"The integers are closed under the multiplication".
this says that if we have two integers, x and y, their product is also an integer:
if x, y ∈ Z ⇒ x*y ∈ Z
So, if now we have two rational numbers:
a/b and c/d
where a, b, c, and d ∈ Z
then the product of those two can be written as:
(a/b)*(c/d) = (a*c)/(b*d)
And by the previous axiom, we know that a*c is an integer and b*d is also an integer, then:
(a*c)/(b*d)
is the quotient between two integers, then this is a rational number.
