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3 years ago

The pair of points is on the graph of an inverse variation. Find the missing value. (1.6,6) and (8,y)

Mathematics

1 answer:

____ [38]3 years ago

5 0

<h3>Answer: y = 1.2</h3>

Work Shown:

Inverse variation equations can be written in the form x*y = k for some fixed number k. Let's plug in the first point (x,y) = (1.6, 6) to compute the value of k

x*y = k

1.6*6 = k

9.6 = k

k = 9.6

Therefore the equation updates to

x*y = 9.6

Plug in x = 8 and solve for y

x*y = 9.6

8*y = 9.6

y = 9.6/8 .... divide both sides by 8

y = 1.2

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Line I is a perpendicular bisector because it bisects another line at right angles via the point of intersection or midpoint. See the Perpendicular Bisector Theorem below.

<h3>What is the perpendicular bisector theorem?</h3>

According to the theorem of perpendicular bisector, any locus on the perpendicular bisector is equidistant from the terminal points of the line segment on which it is created.

Thus, Line I is a perpendicular bisector because it bisects another line at right angles via the point of intersection or midpoint. See the attached image.

Learn more about perpendicular bisectors at:
brainly.com/question/11006922
#SPJ1

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