<span>It might be helpful to remember that the definitions of R2 and R3 are not geometric at all. R2 is the set of all ordered pairs of real numbers, whereas R3 is the set of all ordered triples of real numbers. W is a subspace fo R3, and so it still consists of elements which are triples, not pairs.
The fact that R2 and W can be visualized with the same geometric picture, namely the xy plane, is one way to see in a concrete way the isomorphism which the second poster refered to.</span>
Answer:
they are the same weight, a pound
Answer:
y= -3x+24
Step-by-step explanation:
First find the slope of the line
-x + 3y = -6
Add x to each side
3y = x-6
Divide by 3
3y/3 = 1/3 x -6/3
y = 1/3x -2
The slope is 1/3 since it is in the form y = mx+b where m is the slope
Perpendicular lines have slopes that multiply to -1
1/3 * m = -1
m = -1 * 3/1
m = -3
The slope of the perpendicular line is -3
Slope intercept form is
y = mx+b where m is the slope and b is the y interceot
y = -3x+b
We have a point ( 6,6)
6 = -3(6) +b
6 = -18+b
Add 18 to each side
6+18 = -18+b+18
24 = b
y= -3x+24
F(n) = 1st term - common difference (n - 1)
The operation is subtraction because the sequence is decreasing.
n = number of the term you are looking for
1st term = 1st number in the sequence, in this case, 16
common difference = difference between one number to the next
f(n) = 16 - 1(n-1)
Assuming we are looking for the 5th term.
f(5) = 16 - 1(5-1)
= 16 - 1(4)
= 16 - 4
= 12 * as you can see, 12 is the 5th term of the sequence.
If you are looking for the equivalent of the nth term, simply substitute n by the number you are looking for and solve the equation.
For this equation, all we have to do is substitute 5 in for "n" as we want to find the 5th term in the sequence.
3(n-3)
3(5-3)
3(2)
6
The 5th term in the sequence is 6.