Points A, B, C, and D are located on a line. A is at (-6,13), D is at (2,14), C is the midpoint of AD and B is the midpoint of A
C. What is the sum of the coordinates of point B? Express the answer as a common fraction.
1 answer:
Answer:
37/4
Step-by-step explanation:
The sum of the coordinates of point B is the weighted average of the sum of coordinates of points A and D. Those sums are A=-6+13 = 7; D=2+14=16.
Point B is 3/4 of the way from point D to point A, so the sum of its coordinates will be ...
(3×7 +1×16)/4 = 37/4
_____
The coordinates of point B are (-4, 13.25), so their sum is 9.25 = 37/4.
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Answer:
Option C
Step-by-step explanation:
Let
x ----> the cost of the concert ticket
we know that
The total cost to be no more than $4 Above $80
so
Solve for x
The total cost to be no more than $4 below $80
so
Solve for x
therefore
The inequality that represent this problem is
<u><em>Verify</em></u>
<em>First solution (positive case</em>)
Solve for x
----> is ok
<em>Second solution (negative case)</em>
Multiply by -1 both sides
Solve for x
---> is ok
Remember that
is equivalent to
Because is a absolute value