The x- and y-coordinates of point C, which partitions the directed line segment from A to B into the ratio 3:10 is; (-2.6, 5.2)
<h3>How to find coordinate points?</h3>
The coordinate of the points are given as:
A(-4, 8)
B(2, -4)
Ratio of partition is given as; 3:10
Now, the point at the given ratio is calculated from the formula;
C = [(mx2 + nx1)/(m + n)], [(my2 + ny1)/(m + n)]
Thus;
C = [(3*2 + 10*-4)/(3 + 10)], [(3*-4 + 10*8)/(3 + 2)]
C = (-34/13, 68/13)
C = (-2.6, 5.2)
Read more about Coordinate Points at; brainly.com/question/17206319
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The formula for the total amount costumers pay is 20x+20 because 20* the number of days is 20x and then you have to add the 20 dollars for the service fee. The costumer paid less than 80 dollars so 20x+20, which is what the costumer paid, is less than 80. The answer is $20x+$20<$80.