Answer:
Yes, The rational numbers are closed under multiplication.
Step-by-step explanation:
A rational number is a number which can be expressed in the form of a fraction
, where x and y are integers and y ≠ 0.
Now, closure property of multiplication states that if two rational numbers are multiplied then the product is also a rational number. Thus, if r and t are rational numbers, then
r×t = s, where s is the product of r and t
s is also a rational number.
Hence, the rational numbers are closed under multiplication.
This can be better explained with the help of an example
,
It is clear that
is a rational number.
Supplementary angles are those angles that measure up to 180 degrees. For example, angle 130° and angle 50° are supplementary because on adding 130° and 50° we get 180°. Similarly, complementary angles add up to 90 degrees. ... Hence, any two angles can be supplementary, if their sum equal to 180°.
Answer:
(1)
0.5
(2)
3.8 = 3
Step-by-step explanation:
Answer:
(10, –1)
Step-by-step explanation:
[1]XXXX3y=−12x+2
[2]XXXXy=−x+9
While it is not technically necessary, I find it easier to clear the fractions before actually beginning; so multiplying [1] by 2
[3]XXXX6y=−x+4
Substituting (from [2]) (−x+9) for y in [3]
[4]XXXX6(−x+9)=−x+4
Simplifying
[5]XXXX−6x+54=−x+4
[6]XXXX5x=50
[7]XXXXx=10
Substituting (from [7]) 10 for x in [2]
[8]XXXXy=−10+9=−1
Sx is the standard deviation of the x values and sy is the standard deviation of the y values. If you can use a calculator put the values in list one and list two then do 1 variable stats on list 1 then again on list 2