5. Circle A has a radius of 9 units . Point R lies 5 units away from A. A chord drawn through R is partitioned by the diameter o
f A passing through R into two segments, one of which has a length of 7 units. Is the length of the other segment longer or shorter than 7 units ? Justify your answer.
1 answer:
Answer:
The length of the other segment is longer than 7 units
Step-by-step explanation:
we know that
The<em> i</em><u><em>ntersecting chords theorem</em></u> states that the products of the lengths of the line segments on each chord are equal
see the attached figure to better understand the problem
Remember that the diameter of the circle is two times the radius
Let
x ----> the length of the other segment
so
therefore
The length of the other segment is longer than 7 units
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Answer:
A) Area =
B) Domain = {x < 24}
Step-by-step explanation:
<u>Complete Question:</u>
A car dealership has 24ft of dividers with which to enclose a rectangular play space in a corner of a customer lounge. The sides against the wall require no partition. Suppose the play space is x feet long.
A) express the area of the play space as a function of x
B) find the domain of the function
Solution:
A)
The rectangle has area of length * width
length is x
so width will be 24 - x
Hence, the area will be:
Area = x(24 - x)
Area =
B)
Domain is the set of x values that make the function defined.
The domain will be all values less than 24.
Because if you take 24, the area would be 0 [doesn't make sense]
if you take anything over 24, the area would be negative [not possible]
Hence, the domain is:
Domain = {x < 24}