E.g. suppose $\frac{c}{d}$ and $\frac{a}{b}$ are fractions, that means that a,b,c,d are all integers, and b and d are not zero. finding the sum the numerator, and denominator would also have to be integers. the denominator of the sum can't be zero since the denominators of the fractions were not zero, and would give $\frac{ad+bc}{bd}$ and since they are bound by addition (sum means addition) they must also be rational since eit would equal a bigger integer than initially had

Step-by-step explanation:

8 0

2 years ago

Rotate the vector (0,2) 270 degrees counterclockwise about the origin

SashulF [63]

<h3>Answer: (2,0)</h3>

Explanation:

The vector (0,2) points directly north and the length of this vector is 2 units. It's the distance from (0,0) to (0,2).

When rotating 270 degrees counterclockwise, we'll turn to the left or westward direction (90 degrees so far) then at some point aim directly south (180 degrees so far) and finally ultimately end up pointing directly east (after getting to 270). So that's how we go from (0,2) to (2,0).

If you were to go clockwise, then everything flips and you'll ultimately end up pointing directly west. The length of the vector stays the same the whole time.

3 0

3 years ago