1)
1 answer:
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<h3>Answer: (3, -1)</h3>
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Explanation:
The midpoint formula is
This basically says to add the corresponding coordinates and divide by 2.
The given points (2,5) and (4,-7) have x coordinates of 2 and 4. They add to 2+4 = 6, and then that result cuts in half to 6/2 = 3. The x coordinate of the midpoint is 3.
The y coordinate of the midpoint is y = -1 since adding the y coordinates of the given points leads to 5+(-7) = -2 which cuts in half to -1.
So overall the midpoint is located at (3, -1)
We have the expression
We have to convert the expression in a single-term expression. We apply the distributive property:
b) We have to substitute five different values into the expressions 5x+2x and 7x-1.
The first expression is equal to 5x+2x=7x.
We then can predict that the difference between 7x and 7x-1 is 1.
For example, for x=2, we have 7x=7*2=14 and 7x-1=7*2-1=14-1=13.
We can calculate if the two expressions can be equal, we write:
There is no value that can make both expressions equal.
Both equations have a difference of 1 for any value of x.