Answer:
7/2 = 35/10 & 3/5 = 6/10
Step-by-step explanation:
This is very hard to be explained, sorry.
Answer: The number line is attached.
Step-by-step explanation:
Observe the number line attached.
You know that represents the red fence post.
Since Julia is hanging the first birdhouse 21 inches to the right of the red fence post, then the location on this birdhouse on the number line is at:
Then you must plot it on the number line.
According to the exercise, the second birdhouse is to the left of the first birdhouse.
When you move 29 units to the left of the point 21, you get that the location of the second birdhouse is at:
(Notice that: )
So you can plot it on the number line.
Therefore, the number line that represents this scenario is attached.
Answer is:
D.
Step-by-step explanation:
Use the vertical line test to determine whether or not a graph represents a function. If a vertical line is moved across the graph and, at any time, touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, then the graph is not a function.
4. Substituting for y:
.. 7x -(6 -2x) = 3
.. 9x = 9 . . . . . . . . . add 6, collect terms
.. x = 1
.. y = 6 -2*1 = 4
(x, y) = (1, 4)
5. Substituting for x:
.. 3(y -4) +y = 12
.. 4y = 24 . . . . . . . add 12, collect terms
.. y = 6
.. x = 6 -4 = 2
(x, y) = (2, 4)
6. Substituting for x:
.. 4(y -5) -y = 4
.. 3y = 24 . . . . . . . add 20, collect terms
.. y = 8
.. x = 8 -5 = 3
(x, y) = (3, 8)
7. y = 2x -6 . . . . . add 2x to the first equation
Substituting for y:
.. 5x -(2x -6) = 9
.. 3x = 3 . . . . . . . add -6, collect terms
.. x = 1
.. y = 2*1 -6 = -4
(x, y) = (1, -4)
8. x = 2 -3y . . . . . add -3y to the first equation
Substituting for x:
.. y -(2 -3y) = -6
.. 4y = -4 . . . . . . . add 2, collect terms
.. y = -1
.. x = 2 -3*(-1) = 5
(x, y) = (5, -1)