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


What is the equation of a straight line that is parallel to the line 4y = 3x + 5.

Answers

Answer:

a. 2 – 8 - [- 4 – (-6 + 3 -9)] X ( -10 ÷2) suprimir los signos de agrupacion

Step-by-step explanation:

PLS HELP ME ! IM GIVING BRAINLIEST

Answers

Answer: 15 feet

Step-by-step explanation:

I divided 20 by 12 on the calculator and I got a repeating decimal (1.6666) Then, not clearing the calculator, I multiplied that by 9 and if you followed the steps, you should get 15.

Tell me the correct answer I’m having trouble with this question

Answers

The picture is blocked. Sorry

Please help me!! I need help

Answers

Answer:

c=l/--a^2+b^2=l/--45^2+20^2≈49.24429

Step-by-step explanation:

l/-- mean square root

^ means squared/ exponent

Answer:

Since they're asking you to find the missing sides "y" and "x" here's what you need to do....

Step-by-step explanation:

1) This is the 45-45-90 Triangle.

2) y = 20 becasue this is an isocelese triangle - meaning a triangle that has 2 sides of equal lengths!

3) in order to find x (which is the hyptoneus) you have to do

       [tex]\sqrt{2}[/tex] * leg (use on of the legs)

    =  [tex]20\sqrt{2}[/tex]

also I think 45 degrees is there just to throw you off. And I'm pretty positive this is the correct answer, and i'm 100% sure that y = 20 is correct!

What is the LCM of 20, 10 and 50?
1.50
2.100
3.10
4.200

Answers

Step-by-step explanation:

2 _|_20, 10, 50

5 _|_ 10, 5, 25

1 _|_ 2, 1, 5

Further, it is not divisible.

So, LCM = 2×5×2×5

LCM = 100 is the answer.

Hope it helps :)

[tex].[/tex]

the answer is option 2!!

What is 0.729 repeating written as a fraction

Answers

Answer:

I don't really know the answer, but the simplest form is 729/1000

Step-by-step explanation:

Find zeros and y intercept of each function algebraically f(x)=x^3-10x^2+24x

Answers

Answer:

The zeros are 0, 4, 6.

The y-intercept is 0.

Step-by-step explanation:

f(x) = x^3 - 10x^2 + 24x

x^3 - 10x^2 + 24x = 0

x(x^2 - 10x + 24) = 0

x(x - 4)(x - 6) = 0

x = 0 or x - 4 = 0 or x - 6 = 0

x = 0 or x = 4 or x = 6

y-intercept:

Since x = 0 is a root, that means that the point (0, 0) is part of the function. That makes the y-intercept 0.

You can also solve for the y-intercept by letting x = 0 in the function and solving for f(0).

Let x = 0.

f(0) = 0^3 - 10(0^2) + 24(0)

f(0) = 0

y-intercept: 0

Help me plss plss I really need help I have a f

Answers

Answer:

A. 5 1/2 and D. 11/2

Step-by-step explanation:

Make improper fraction

8*1+3=11/8

Solve by multiplying:

4*11/8

44/8

Simplified is 11/2

We can turn it back into a mixed number

2*5+1=11 so 5 1/2

f (x) = 7x Find f^-1 (x)​

Answers

Answer:

f^-1 (x)​=1/7x

Step-by-step explanation:

f(x) = 7x

y=7x   x=7y

y=x/7

y=1/7x

f^-1 (x)​=1/7x

Ryan and Danielle competed in a bicycle race.Ryan biked 11988 meters and Danielle biked 13336 meters.How much farther did Danielle bike the Ryan? please help !

Answers

Answer:

Danielle biiked 1348 meters more that Ryan

Step-by-step explanation:

Please help please help please help please help please help I’m not really desperate

Answers

Answer:

Vertically opposite angles or the first option itself

Hope it helps

Answer:

vertical angels?

Step-by-step explanation:

i hope yan yong answer pero di ko sure

Mach the Zodiac to the Months (In order of Zodiac) (NO HELP FROM FRIENDS OR INTERNET)

Libra December-January
Taurus March-April
Cancer October-November
Leo February-March
Pisces August-September
Libra November-Becember
Gemini July-August
Aquarius September-October
Aries June-July
Virgo January-Febuary
Sagittarius May-June
Capricorn April-May

Answers

Answer:

Virgo:september-october,

Step-by-step explanation:

Capricorn December-January
Aquarius January - February
Pisces February- March
Aries March- April
Taurus April- May
Gemini May-June
Cancer June- July
Virgo July- August
Leo August- September
Libra September- October
Scorpio October- November
Sagittarius November- December

Simplify, must end in positive exponent

–10x^-8 (-2y^5)

Answers

Answer:

I got the answer 20y^5/x^8

Step-by-step explanation:

lake erie is 210 feet below sea level. what interger presents the location of lake erie in relationship to sea level?​

Answers

Answer:

-210

good luck, i hope this helps :)

Answer:

-210

Step-by-step explanation:

If it's below sea level, that means its below 0 (sea level) so it would be a negative number

B: 8 square root 3
C: 8 squeals root 3 over 3
D: 16 square root 3
E: 24

Answers

Answer:

its c

Step-by-step explanation:

Please help
A square picture frame has a diagonal distance of √128 inches. What is the perimeter of the picture frame?

(High School Geometry)

Answers

Answer:32

Step-by-step explanation:

How do you compute term life insurance?

Answers

To calculate your life insurance coverage needs:

1. Add up your assets
Find the sum of your post-tax income and any liquid assets, like life insurance policies you already own, current investments, and future assets like social security benefits.

2. Add up your debts and financial obligations
Account for your yearly living expenses and debt payments and multiply them by the number of years your family would need support. Make sure to include future financial obligations, like college tuition.

3. Subtract your assets from your debts and financial obligations
The resulting number is the coverage gap — the amount of money your family would need to be financially comfortable in your absence, which is the minimum amount your
death benefit
should be. Your policy’s term (i.e., the amount of time your coverage lasts) should last as long as your family’s financial dependence requires.

The death benefit is paid as a lump sum, but your beneficiaries shouldn’t use it all at once. Much of it can be invested, and the rate of return can provide additional income to make the benefit last longer — but you’ll also want to consider the inflation rate over a 20- or 30-year term.

Work with a financial advisor to decide how to maximize the value of your death benefit and prepare your beneficiaries to take on the financial responsibility of the large payment.

PLASSSSS HURRYRYYY!!!!!!!!!!!!!

Answers

Answer:

6

Step-by-step explanation:

Since 36 is a multiple of 6, therefore [tex]6^{2}[/tex] = 36.

Find z score for the data value given. Round to two decimal places

Answers

Answer:

1.54

Step-by-step explanation:

the z-score is calculated with the formula z= ( raw score - mean) / standard deviation

z= (236 - 193) / 28

z= 43 / 28

z= 1.5357

m=3 and through (2, -1) in slope-intercept

Answers

Answer:

y = 3x - 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 3, then

y = 3x + c ← is the partial equation

To find c substitute (2, - 1) into the partial equation

- 1 = 6 + c ⇒ c = - 1 - 6 = - 7

y = 3x - 7 ← equation of line

Statistics is important because it give people information that can lead to decision
making. Statistical numbers always leads people to make the same decision. True or False?

Answers

Answer: true

Step-by-step explanation:

express (3x+1)(2x-5) as a trinomial

Answers

6 x 2 − 13 x − 5  hope this helped,

Answer: (3x+1)(2x−5)

6

2

15

+

2

5

6x

2

−15x+2x−5

Distribute (FOIL)

6

2

13

5

6x

2

−13x−5

Step-by-step explanation:

whats the answer to 0.8 divided by 697.04


show work please.

Answers

Answer:

.00114771

hope this helps, good luck :)

y = -(x – 8)(x + 9)

HOW DO I MAKE THIS STANDARD FORM!!

Answers

Answer[tex]x^{2}[/tex]-72=0

Step-by-step explanation:

Help me please I am not good at this stuff

Answers

Answer:

45 square inches

Step-by-step explanation:

○=> Correct answer :[tex]\color{plum} = \tt\bold{30 \: cubic \: inches}[/tex]○=> Steps to derive correct answer :

Given :

Area of base of a triangular pyramid = 9 inches

Length of height of triangular pyramid = 10 inches

We know that :

[tex]\tt \: \color{hotpink}volume\: of \: a \: triangular \: pyramid \color{plum}= \frac{1}{3} Bh[/tex]

Which means :

Volume of this triangular pyramid :

[tex] = \tt \frac{1}{3} \times 9 \times 10[/tex]

[tex] =\tt \frac{9 \times 10}{3} [/tex]

[tex] =\tt \frac{90}{3} [/tex]

[tex]\color{plum} =\tt 30 \: {inches}^{3} [/tex]

Thus, the volume of this pyramid = 30 inches³

Which government agency works to maintain water and air quality in Florida?

the Audubon Society of Florida
the Nature Conservancy
the Department of the Interior
the Department of Environmental Protection

Answers

Answer:

Step-by-step explanation:

Florida Department of Environmental Protection

Answer:

The department of environmental protection

Step-by-step explanation:

sum of 34908 and 12765?​

Answers

Answer:

47,673

Step-by-step explanation:

Answer: 47,673

Step-by-step explanation:

Someone help me please!
Thanks!! ASAP!

After that, If y’all need help with a question or just a friend to talk to ab anything personal let me know:)

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Average rate of change.

The average rate of change can be calculated by, finding the change of the two readings and getting a average between them.

here, for x =3 to x =5

1.) in the interval, x =3 to x = 4

the change is ==> 287 - 125 = 162

2.) in the interval, x = 4 to x=5

the change is ==> 549-287 = 262

Now the average ==> 162+262/2 ===> 212

Hence the average rate of change is 212

— 3x = у
— 9x — 5y = — 48

Answers

Step-by-step explanation:

plug in -3x for y

-9x-5(-3x)= -48

-9x+15x= -48. its +15 because negative times negative is.

positive

6x= -48 (-9 +15=6) now divide both sides by 6

x= -8

now you can solve for y by plugging in -8 for x

-3(-8) =y

24= y

x = -8 and y = 24

Explanation:

-3x = y ............................... (1)
-9x - 5y = -48 ................... (2)

From (1):
-3x = y
y = -3x

Sub (1) into (2):
-9x - 5(-3x) = -48

-9x + 15x = -48

6x = -48

x = -48/6

x = -8


Sub x = -8 into (1):
y = -3(-8)

y = + 24

share £84 in the ratio 6:3:3​

Answers

£84 in the ratio 6:3:3

first, divide the £84 in half (by 2)
this comes out to be £42
secondly, divide £42 in half (by 2)
this comes out to be £21

the answer is:
£42 : £21 : £21
Or
84 units divided by 6+3+3 units is 84/12= 7 (value of each unit)
6x7: 3x7: 3x 7
42: 21: 21
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