Determine if the statement is always, sometimes or never true.
2 answers:
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Imagine you're moving along the segment. Since the midpoint is in the middle of the segment (obviously), it means that when you've traveled from G to A, you're halfway through your journey, along both x and y directions. So, let's break the problem in two and analyze both directions.
Along the x axis, you've moved from -3 to 1, so you moved 4 units forward. This means that you have 4 units still to go, and your journey will end at coordinate 5.
Similarly, along the y axis, you've moved from 5 to -4, so you moved 9 units downward. This means that you have 9 units still to go, and your journey will end at coordinate -13.
So, the coordinates of the endpoint are
If you prefer a more analyitical approach, simply write the definition of the midpoint and solve it for the coordinates of T.
We have and
. The midpoint is computed as
So, you have the equations
Multply both equations by 2 to get
Move the constants to the right hand sides to get
1 -
3 cups left.
2-
David biked a total of 158 miles (option C)
Why?
- First exercise:
To solve the problem we need to consider that for each 1/2 cup of cornmeal, we will have 6 corn muffins.
So, calculating we have:
We can see that, if each 1/2 cups can give us 6 corn muffins, 2 cups can give us 24 corn muffins.
Hence, there are 3 cups left.
- Second exercise:
We can solve the problem by multiplying or adding the fractions according to the number of dots assigned to each one.
So, calculating we have:
Hence, we have that David covered a total 158 miles. (Option C)
Have a nice day!