The coordinate for the point M is (51/6, 13/6) if the point M on a segment with endpoints X (1, -2) and Y (10, 3) partitions the segment in a 5:1 ratio.
<h3>How to explain the information?</h3>
We have a line segment: XY with end coordinates X(1, -2) and Y(10, 3)
The coordinate for the point M:
x = (1+50)/6 = 51/6
y = (-2+15)/6 = 13/6
Thus, the coordinate for the point M is (51/6, 13/6) if the point M on a segment with endpoints X (1, -2) and Y (10, 3) partitions the segment in a 5:1 ratio.
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The linear equation is y = 4 + 0.5x
<h3>How to determine the equation?</h3>
The points are given as: (-2,3) and (4,6)
The equation is then calculated using:
Substitute the known values
Evaluate
y = 0.5 *(x+2) + 3
Expand
y = 0.5x + 1 + 3
Evaluate the sum
y = 0.5x + 4
Rewrite as:
y = 4 + 0.5x
Hence, the equation is y = 4 + 0.5x
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Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Maximum capacity of hard drive = 500 GB
Space used up = 58 GB
Size per movie = 8GB
Number of movies = x
1)
[(Number of movies * size per movie) + used up space] should be less than or equal to the maximum capacity to f the drive.
From Elena's inequality, the total space taken up by movies + used up space is greater than total capacity of hard drive.
That is ;
[(8x + 58 ≤ 500
8x ≤ 500 - 58
8x ≤ 442
x ≤ 442 / 8
x ≤ 55.25
The maximum number of movies Elena can download is 55
Answer:
-7
Step-by-step explanation:
because 15-22= -7
he started at 0, gained 15 points but then lost 22, so after the two problems he'd have a score of -7.
