The square of a rational number is a rational number.
<h3>What are rational numbers?</h3>
A rational number is a number that is expressed as the ratio of two integers, where the denominator should not be equal to zero.
A rational number is a number that is of the form p/q where p and q are integers and q is not equal to 0.
Therefore, rational numbers are express as follows; p / q.
Hence, x is a rational number . let's confirm that x² is rational or not.
Therefore, When we square a rational number, each prime factor has an even exponent.
For example
p / q = p²/ q²
Hence, the square is a rational number.
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To answer this, we need to find the average/mean, which is 27+3+2+25+5, witch gives a total of 62. then we need to divide it by the number of numbers, which there are 5. The answer is 12.5, which is the mean.<span />
The vertex of the function is (-6,-36).
<u>Step-by-step explanation:</u>
f(x) = x²+ 12x
From the above function, we can find the x- coordinate of the vertex as,
x = -b/2a
Here a = 1, b = 12
Plugin the values as,
x = -12 /(2×1) = -6
Now plug in the x value in the above function, we will get y as,
f(x) = y = x² + 12x = (-6)² + 12(-6)
= 36-72 = -36
So the vertex is (-6, -36).
Answer:

Step-by-step explanation:
Supplementary angles are angles equal to 180°.
Therefore:

Now that we have our equation, let's distribute the
and the
into the parentheses they are next to:

Combine like terms:

Subtract
from both sides of the equation:

Divide by the coefficient of
, which is
:

~
Check your work by substituting
into one of the equations above:



It's correct!
14= 3k-4
_ less than _ = -
3* k simplified= 3k