If "a" and "b" are two values of x-coordinate, and "m" is the midpoint between them, it means the distance from one end to the midpoint is the same as the distance from the midpoint to the other end
... a-m = m-b
When we add m+b to this equation, we get
... a+b = 2m
Solving for m gives
... m = (a+b)/2
This applies to y-coordinates as well. So ...
... The midpoint between (x1, y1) and (x2, y2) is ((x1+x2)/2, (y1+y2)/2)
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Jennifer had (x1, y1) = (-4, 10) and (x2, y2) = (-2, 6). So her calculation would be
... midpoint = ((-4-2)/2, (10+6)/2) = (-6/2, 16/2) = (-3, 8)
Brandon had (x1, y1) = (9, -4) and (x2, y2) = (-12, 8). So his calculation would be
... midpoint = ((9-12)/2, (-4+8)/2) = (-3/2, 4/2) = (-1.5, 2)
Answer:
Table A
Step-by-step explanation:
In order for it to be a linear relationship, the change in the x values and y values (f(x)) needs to be consistent.
In every table, the x values change the same, so we can focus on the y values.
Notice in table A, the f(x) values go down consistently by 10 for every change in x.
All of the other tables are not consistent.
Therefore, table A is the only linear function.
Answer:
The temperature of the chemical solution after t hours is 
Step-by-step explanation:
Given that the initial temperature of the chemical solution, 
.
The rate of decreasing temperature, 
So, after t hours, the temperature of the chemical solution will decrease by 
.
So, the temperature of the chemical solution after t hours,
Hence, the temperature of the chemical solution after t hours is 
.
The units (-3,-1) and (-0,-0) are the following units located at (-4,-2).
Answer:
5/6
Step-by-step explanation:
There is a 1 out of 2 chance that you will roll tails, so the probability is 1/2.
A number less than three is a 2 and 1, so the probability is 2/6.
Add 1/2 + 2/6. (Change 1/2 to 3/6 so you can add.)
3/6 + 2/6 = 5/6
<em>I hope this is correct and helps you! </em>
