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tangare [24]
3 years ago
5

Look at the figure below:

Mathematics
1 answer:
Reptile [31]3 years ago
5 0

Answer: third option.

Step-by-step explanation:

A tangent of a circle is defined as a line that touches that circle in exactly one point.

You can observe in the figure attached that:

The segment MN and the segment ST are not the tangent of the given circle, because this segments intersect it in two points.

The segment RO is the radius of the circle.

The segment PQ touches the circle in one point.

Therefore, the segment PQ  is the tangent of the circle.

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This is due tomorrow and i have answers but i think ive done it wrong! please help
Eva8 [605]

Answer:  i) 1 - 9x² - 12x

               ii) 17 - 3x²

             iii) - 20 + 10x² - x⁴

<u>Step-by-step explanation:</u>

g(x) = 3x + 2       h(x) = 5 - x²

i) h(g(x))

  h(3x + 2) = 5 - (3x + 2)²

                  = 5 - (9x² + 12x + 4)

                  = 5 - 9x² - 12x - 4

                  = 1 - 9x² - 12x

ii) g(h(x))

   g(5 - x²) = 3(5 - x²) + 2

                 = 15 - 3x² + 2

                 = 17 - 3x²

iii) h(h(x))

   h(5 - x²) = 5 - (5 - x²)²

                 = 5 - (25 - 10x² + x⁴)

                 = 5 - 25 + 10x² - x⁴

                 = -20 + 10x² - x⁴

4 0
3 years ago
Find the value of p in the figure below.
nirvana33 [79]

From the chord theorem we have:

4\cdot4.5=6\cdot(2p-3)\\\\18=12p-18\\\\12p=18+18\\\\12p=36\qquad|:12\\\\\boxed{p=3}

6 0
3 years ago
There were 27,000 people at a ball game in Los Angeles. The day's receipts were $204,000. How many people paid $13 for reserved
Studentka2010 [4]
21000 people paid for general admission and 6000 paid for reserved seats. This is solved by making 2 equations. Out of 27000 people who were at game, x of them paid for general admission and y for reserved seats, thus
x + y = 27000
As said, daily receipts were 204000$. As reserved seat is 13$, y of them gave 13$ each (y*13$) and x of them gave 6 for general admission(x*6) and those two add up and we get second equation
13y + 6x = 204000.
This can be solved by transforming first equation into x = 27000 - y and then replacing the x in second.
13y + 6*(27000 - y) = 204000
13y + 162000 - 6y = 204000
7y = 42000
y = 6000
x + 6000 = 27000
x = 27000 - 6000 = 21000
5 0
3 years ago
I need help please?!!!
malfutka [58]

a<-28 I think. Can I have a Brainliest

6 0
4 years ago
Read 2 more answers
Meridith runs at a rate of 190 meters per minute. use the formula d= r times t to find how far she runs in 6 minutes.
Mariulka [41]
D= r×t
D= 190×6
D= 1140 meters
6 0
3 years ago
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