Answer:
1/3
Step-by-step explanation:
You can rewrite the equation like so:
2/3 + (-1/3)
2/3 - 1/3
The denominators are the same so you don't need to worry about that:
2/3 - 1/3 = 1/3
1/3 is your answer
Hope this helps!
<span>First, group the x values together (on one side) and the other values on the other.
6x + 3 - 1/2 x = -2x +5
6x - 1/2 x + 2x = 5 - 3
Now solve!
7 and 1/2 x = 2
x = 8
Hope this helps!</span>
General Idea:
When a point or figure on a coordinate plane is moved by sliding it to the right or left or up or down, the movement is called a translation.
Say a point P(x, y) moves up or down ' k ' units, then we can represent that transformation by adding or subtracting respectively 'k' unit to the y-coordinate of the point P.
In the same way if P(x, y) moves right or left ' h ' units, then we can represent that transformation by adding or subtracting respectively 'h' units to the x-coordinate.
P(x, y) becomes . We need to use ' + ' sign for 'up' or 'right' translation and use ' - ' sign for ' down' or 'left' translation.
Applying the concept:
The point A of Pre-image is (0, 0). And the point A' of image after translation is (5, 2). We can notice that all the points from the pre-image moves 'UP' 2 units and 'RIGHT' 5 units.
Conclusion:
The transformation that maps ABCD onto its image is translation given by (x + 5, y + 2),
In other words, we can say ABCD is translated 5 units RIGHT and 2 units UP to get to A'B'C'D'.
Answer:
30 books
Step-by-step explanation:
bookshelf is 45 inches
each book is 1 1/2 inches
45 / 1 1/2 = 30
30 books can fit on the shelf