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<u>Part a)</u> If both ants skate directly towards each other, starting at the same time and skating the same speed, what will be the coordinates of their meeting place?
Let
A(3,4) B(33.44)
we know that
If both ants skate directly towards each other, starting at the same time and skating the same speed
then
the coordinates of their meeting place is the midpoint AB
<u>Find the midpoint AB</u>
in the x-coordinate
(3+33)/2=18
in the y-coordinate
(4+44)/2=24
the midpoint AB is (18,24)
therefore
<u>the answer Part a) is </u>
the coordinates of their meeting place is (18,24)
<u>Part b)</u> How far will each ant skate?
<u>Find the distance AB</u>
substitute the values
units
units
<u>Find the half distance AB</u>
50/2=25 units
therefore
<u>the answer part b) is</u>
Each ant will skate 25 units