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mr Goodwill [35]
3 years ago
13

D and AC are chords that intersect at point Y. A circle is shown. Chords B C and A C intersect at point Y. The length of B Y is

3, the length of Y D is 8, the length of A Y is x, and the length of Y C is 6. What is the length of line segment AY? 2 units 3 units 4 units 6 units

Mathematics
1 answer:
marusya05 [52]3 years ago
7 0

Answer:

4 units

Step-by-step explanation:

see attachment for the missing figure.

to find the value of AY or x

We'll use intersecting chord theorem i.e  the product of line segment of each chord are equal.

From the figure, we can say that:

BY x YD = AY x YC

BY \times YD = AY \times YC\\3\times 8=x\times 6\\24=6x\\x=\frac{24}{6}\\x=4

Therefore,  AY = 4 units

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Answer:

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Step-by-step explanation:

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6 0
3 years ago
A car rental agency rents 190 cars per day at a rate of 29 dollars per day. for each 1 dollar increase in the daily rate, 5 fewe
Leviafan [203]

The equation that we can create from this situation is:

i = (190 – 5 x) * (29 + x)

where i is the income and x is the increase in daily rate

Expanding the equation:

i = 5510 + 190x – 145x - 5x^2

i = -5x^2 + 45x + 5510

Taking the 1st derivative:

di/dx = -10x +45

Set to zero to get the maxima:

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So the cars should be rented at:

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The maximum income is:

i = (190 – 5*4.5) * (33.5)

i = 5,611.25 dollars

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Step-by-step explanation:

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3 0
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Step-by-step explanation:

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