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Anton [14]
3 years ago
6

Property of Circles: Segment Relationships in Circles​

Mathematics
2 answers:
zhuklara [117]3 years ago
5 0

Answer: x=5

Step-by-step explanation:

-Dominant- [34]3 years ago
3 0

Answer:

x = 5

Step-by-step explanation:

Two secants from an external point to a circle, then the product of one secant's external part and the entire secant is equal to the product of the external part and the entire secant of the other, that is

(x - 2)(x - 2 + x + 4) = 4(4 + 5)

(x - 2)(2x + 2) = 4(9) = 36 ← distribute and simplify the left side

2x² + 2x - 4x - 4 = 36

2x² - 2x - 4 = 36 ( subtract 36 from both sides )

2x² - 2x - 40 = 0 ( divide through by 2 )

x² - x - 20 = 0 ← in standard form

(x - 5)(x + 4) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 5 = 0 ⇒ x = 5

x + 4 = 0 ⇒ x = - 4

But x > 0 ⇒ x = 5

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Suppose a basketball player has made 390 out of 434 free throws. If the player makes the next 2 free throws, I will pay you $40.
alukav5142 [94]

Answer: a) -$0.19, b) -$111.72 .

Step-by-step explanation:

Since we have given that

Number of free throws = 434

Number of throws made by them = 390

Amount for making the next 2 free throws = $40

Amount otherwise he has to pay = $169

a) Find the expected value of the proposition.

Expected value of success in next 2 free throws = \dfrac{390}{434}\times \dfrac{391}{435}=0.8077

Expected value would be

0.8077\times 40+(1-0.8077)\times -169\\\\=32.308-32.4987\\\\=-\$0.19

b)  If you played this game 588 times how much would you expect to win or lose?

Number of times they played the game = 588

So, Expected value would be

588\times -0.19\\\\=-\$111.72

Hence, a) -$0.19, b) -$111.72

8 0
3 years ago
How do you do markdowns and markups
uysha [10]
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A. Write the given equation in standard form.8x+3y+6=0
Vikki [24]

Answer:

8x+3y=-6

Step-by-step explanation:

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Select the correct answer. What is the opposite of ? A. B. C. D. E.
Helga [31]

Answer: what are the options?

Step-by-step explanation:

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Two cars are side by side. One is 3.9 meters long. The other is 6% shorter. How long is the second car?
GrogVix [38]

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Step-by-step explanation:

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