2x+10=3x-15
25=x when simplified
The mixed number of 6/3 is 2
Explanation
Nothing it’s just what it is
Answer:
(3,8): No, (-1,-11): Yes, (2,7): Yes, (0,-6): No
Step-by-step explanation:
Basically, you just substitute x and y with the numbers given.
18x - 3y = 15
y = 6x - 5
(3,8):
18(3) - 3(8) = 15
54 - 24 = 30 It is not equal to 15, so it does not work.
y = 6x - 5
8 = 6(3) - 5
8 = 13 It is not equal to 8, so it does not work.
Therefore, (3,8) is not a solution.
Try this for every pair and you will find that (-1,-11) and (2,7) are solutions.
I hope this helps!
Answers:
- Vertical change = 1
- Horizontal change = 2
- Rate of change = 0.5
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Explanation:
Imagine that we have point A as a buoy in the water. So the horizontal line through 1 on the y axis is the water line. How much should the water line go up so that points A and B are on the same horizontal level? That would be 1 unit up. This is the vertical change. Another term for this is "rise".
After the water goes up, and A and B are on the same level, the question is now: how far to the right do we go from A to B? That would be 2 units. This is the horizontal change. Another term for this is "run".
Using those two values, we can compute the rate of change aka slope.
slope = rise/run = 1/2 = 0.5
So each time we go up 1 (rise) we move to the right 2 (run).
The slope is positive since we're moving uphill while moving to the right.
Simple Proof:
a) In the image, we know that ABCD is a parallelogram and that means opposite angel measures should be the same. We know that angel DCB is made up by angel 1 and 2, and angel DAB and DCB are equal and angel DAB is made up by angel 1 and <em>x</em>. So now we can conclude that angel <em>x</em> is equal to angel 2.
b) According to the definitions of a parallelogram, opposite angel measures have to be the same, while AECF have angle 1 to angel 1 and angel 2 to angel 1. We can conclude that AECF is <u>NOT</u> a parallelogram. (Sorry, you didn't give me the full question so some information remains unclear. )
