Mathematics High School

Point $Y$ is on a circle and point $P$ lies outside the circle such that $\overline{PY}$ is tangent to the circle. Point $A$ is on the circle such that segment $\overline{PA}$ meets the circle again at point $B$. If $PA = 15$ and $PY = 9$, then what is $AB$? [asy] unitsize(2 cm); pair A, B, P, Y; Y = dir(130); A = dir(20); B = dir(180); P = extension(Y, Y + rotate(90)*(Y), A, B); draw(Circle((0,0),1)); draw(Y--P--A); label("$A$", A, E); label("$B$", B, SW); label("$P$", P, W); label("$Y$", Y, N); [/asy]

Answers

Answer 1

Answer:

48/5

Step-by-step explanation:

By power of a point on P, we have PB * PA = PY^2. Therefore,

PB = PY^2/PA = 9^2/15 = 27/5. Then AB = PA - PB = 15 - 27/5 = 48/5

Related Questions

PLEASE HELP PLESAE!!!!!!
Evaluate the expression when b=6 and y =-7

-b+9y

Answers

Answer:

-69

Step-by-step explanation:

can someone help me??

Answers

Answer:

yes, (2, 7) is a solution

Step-by-step explanation:

2(3) + 3 = 9   True

2(3) + 9 = 15   True

Can someone help me pls ‍♀️

Answers

Answer: 420, 81, 270, 216, 264, 154, 1824, 11400, 26741

all in order 1-10

Step-by-step explanation:

someone actually help please!!! how much is 7/9 of -3/14

Answers

Answer:-0.16666666666

Step-by-step explanation:

PLEASE HELP ASAP! WILL MARK BRAINLIEST

Answers

Answer:

201.06

Step-by-step explanation:

https://rb.gy/xgo4xh

Answer:

A=64π

Step-by-step explanation:

A=π[tex]r^{2}[/tex]

radius=8

A=π[tex]8^{2}[/tex]

A=64π

≈201.06

Which phrases could n + 10 represent? Check all that apply.

Answers

Answer: 1,3,5

Step-by-step explanation: 1. the sum of a number , 2. A number plus ten, 5. Ten more then a number

Edge 2021

Which net represents this solid figure?

Answers

Answer:

The 3rd one

Step-by-step explanation:

Answer:

The second net.

Step-by-step explanation:


What is the inscribed angle and the circumscribed angle​

Answers

the inscribed angle is the one on the inside of the circle and the circumscribed angle is the right angle on the outside of the circle :)

how to add 1/6 and 2/3

Answers

Answer:

5/6

Step-by-step explanation:

2/3×2=4/6

1/6+4/6=5/6

Answer:

1/6 + 2/3 = 5/6

Step-by-step explanation:

When adding fractions you have to find a  common denominator(which is the bottom number of a fraction).  So 1/6 and 2/3 do not have a common denominator so you have to multiply 2/3 by 2/2 to get a 6 in the  denominator.  2/3 x 2/2 =  4/6.  The you just  add the two.  4/6 + 1/6 = 5/6

8.1y + 7y + 2 – 8.1y – 10.

Answers

Answer:

7y−8

hope this helps :)

pls help reward brainiest

Answers

Answer:

(5, 2) & (-4, -9)

Step-by-step explanation:

Use the vertex form, y = a(x − h)² + k, to determine the values of a, h, and k

(h, k) = (5, 2)

(h, k) = (-4, -9)

good luck, i hope this helps :)

Answer:

(5,2) Answer for first question

(-4,-9) Answer for the second question

help me plzzz plzzz help me

Answers

Answer:

sepa pero suerte no hablo ingles

Jason bought 4.5 kilograms of cream cheese. How many grams of cream cheese did Jason buy?

Answers

Answer:

the answer is 4500

Step-by-step explanation:

Answer:

He Bought 4,500 Grams of Cream Cheese.

Step-by-step explanation:

The solution (x y) to a system of equatiohs is the point where they..?

Answers

Answer:

Intersect

Step-by-step explanation:

Orlando has a bank statement balance of $414.25 and $5.90 service charge. His check register shows $374.16 and he has two outstanding checks of $26.54 and $21.78. What is his true balance?


$414.25


$408.35


$48.32


$365.93


Orlando has a bank statement balance of $414.25 and $5.90 service charge. His check register shows $374.16 and he has two outstanding checks of $26.54 and $21.78. Orlando should:


Keep the adjusted checkbook balance.


Write the true balance in his checkbook.


Write the balance from the bank statement in his checkbook.




Answers

Answer:

$365.93

$368.26

Step-by-step explanation:

The true balance :

Statement balance - outstanding cheques

Statement balance = 414.25

Outstanding cheques = 26.54 and 21.76

414.25−26.54−21.78 = 365.93

Adjusted Chequebook balance

Chequebioknvakance will en adjyat d for service charge :

Chequebook balance - service charge

$374.16 - $5.90 = $368.26

At how many hours of service do the repair services cost at the same time?
A) 3hr
B) 10hr
C) 5hr
D) 40hr

Answers

The answer is c
Hope this helps :) also could I get brainliest please

pls help with this question

Answers

Answer:

yes

Step-by-step explanation:

it passes the vertical line test

. ………….. is the reciprocal of

Answers

The answer is c because (-1/5)^3=-125 and (-1/5)^3=-1/125 so c is the reciprocal of the original problem

can somebody help? marking brainliest:)

Answers

Answer:

23/16

Step-by-step explanation:

23/16+1/16=24/16=3/2

Simplify:
2a/3x+3a/2x+5a/6x​

Answers

Answer:

the answer is 10a+11x

Step-by-step explanation:

2a+3a+5a=10a

3x+2x+6x=11x

What is the area of a triangle with a base of 24 inches and a height of 8 inches? Remember the formula to find the area of a triangle is 1/2bh (1/2 x b x h). Also, remember how to label your answer!

Answers

Answer:

96inches

Step-by-step explanation:

24*8=192

192/2=96

Find ratio of 14 and 35​

Answers

Answer:

40%

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

Please help 3/4
Solve the binomial
(2ab-3c)(2ab+3c)

Answers

Answer:

I’m answering so the other peep can get brainliest she’s correct I think I’m pretty sure I think so thx for points have a great day byee

Step-by-step explanation:

a sequence of numbers is 8, 15, 22, 29. explain why 96 will not be a term in this sequence?​

Answers

Answer:

It want touch/Connect Either way the closest it can get was 99

8, 15, 22, 29, 36, 43, 50, 57, 64, 71, 78, 85, 92, 99.

Hello can i please have help on this question thank you

Answers

Answer:

[tex] y = \frac {1}{2}x +2[/tex]

Step-by-step explanation:

Line is passing through the points (0, 2) & (2, 3)

Slope of line = (3 - 2)/(2 - 0) = 1/2

Equation of line in point slope form is given as:

y - 2 = 1/2(x - 0)

2(y - 2) = x

2y - 4 = x

2y = x + 4

[tex] y = \frac {1}{2}x +\frac {4}{2}[/tex]

[tex] y = \frac {1}{2}x +2[/tex]

is the required equation of blue line.

Answer:

2y-4 =x

Rearranged as:

2y = x + 4

x = 2y - 4

y = x/2 +4

Attachment given below:

x^{2}-3x-40=0x
2
−3x−40=0

Answers

Answer:

what the

Step-by-step explanation:

what is that weird

In football, the team that has the ball has four chances to gain at least ten yards, if
they don't gain at least ten yards, the other team gets the ball, Positive numbers
represent a gain and negative numbers represent a loss, Select all of the sequences
of four plays that result in the team getting to keep the ball,
A. 8, -3, 4, 21
B. 30, -7,-8, -12
C. 2, 16, -5, -3
D, 5, 2, 20, -1
E. 20, -3, -13,2

Answers

Answer:

A, C, D I think

Step-by-step explanation:

Hope this helps and feel free to answer my recent question ! :)

An angle measures 38° less than the measure of its complementary angle. What is the measure of each angle?

Answers

Answer:

One angle is 26 degrees and the other is 64 degrees.

Step-by-step explanation:

Complementary angles add up to a total of 90 degrees. Therefore, if one of the two angles is known to be 38 degrees less, then the other angle can be calculated:

90 = (x-38) + (x)

52 = 2x

26 = x

This means that one of the angles is 26 degrees, and the other is 64 degrees.

A cylinder has volume 45 pi and radius 3. What is its height?

Answers

Answer:

Height = [tex]\frac{5}{\pi }[/tex]

Step-by-step explanation:

V = Volume

r = Radius

h = Height

[tex]h=\frac{V}{\pi *r^{2} }[/tex]

[tex]h=\frac{45}{\pi *3^{2} }[/tex]

[tex]h=\frac{5}{\pi}[/tex]

I hope this helps

How to find the constant rate of proportionality

Answers

Step-by-step explanation:

The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other.

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