The line l is tangent to the circle with equation x2 + y2 = 17 at the point P.
Determine the equation of line l.

The Line L Is Tangent To The Circle With Equation X2 + Y2 = 17 At The Point P.Determine The Equation

Answers

Answer 1
The line is perpendicular to the line from origin to P (by tangent is perpendicular to radii)
Which slope is 1/4
So the
(slope of tangent) x (1/4) = -1

Slope of tangent = -4
Point slope form:
(y-1)/(x-4)=-4
y-1=-4x+16
y=-4x+17


Or you can construct the upper half of the circle in y=(17-x^2)^(1/2) and differentiate it to get the slope then use point slope form again

Related Questions

The dimensions of an ancient Egyptian rug are 6 feet by 8 feet. Priscilla is creating a drawing of the rug with the scale 4 cm = 1 ft. What are the dimensions of Priscila's drawing in cm?

Answers

Answer:

12 x 18 CM.

Step-by-step explanation:

Because 3 cm is 1 ft  so if it is 4 you multiply that by 3 which equals 12 , and for 6 feet you multiply that by 3 cm  and get 18. SO it is 12 x 18 cm.

Nakato Nobuki, a Japanese artist, intends to withdraw $ 24,000.00 from his savings at the end of 5 years. Mr. Nobuki deposits $ 1,500.00 in savings annually and today has a balance of $ 8,000.00. What should be the savings interest rate for Nobuki to achieve his goals?

Answers

Answer:

The savings interest rate of Nakato Nobuki is 3 %

Step-by-step explanation:

Given;

Final amount of Nakato Nobuki, A = $ 24,000.00

time period of his investment, t = 5 years

principla amount, P = $ 1,500.00

The savings interest rate of Nakato Nobuki can be calculated on a simple interest basis.

A  = P(1 + rt)

r is the savings interest rate

Substitute the given values and solve for r

24,000 = 1,500(1 + 5r)

24,000 = 1,500 +  7,500r

7,500r = 24,000 - 1,500

7,500r = 22,500

r = 22,500/7,500

r = 3 %

Therefore, the savings interest rate of Nakato Nobuki is 3 %

Rewrite the slope in intercept form.
x-3y=15​

Answers

Answer:

x=3y+15

Step-by-step explanation:

x-3y = 15

-3y = 15-x

y = -5 + ¹/₃x

What is the first step to solving the equation 12 - y = 18?

Answers

Answer:

subtract 12 from 18

Step-by-step explanation:

Answer:

No real "first step" as there are many ways to do it. If I were to do it, I would add the y to the other side to make it positive. This thus eliminates any negative variables in the equation

Step-by-step explanation:

ez

4a (8a- 4a + 1)
Helpehelpeekendnhdhdjdjdjjdfjjfjfjf

Answers

Complete the math in the brackets (4a + 1)

Multiple each term in the brackets by 4a

4a (8a - 4a + 1)
4a (4a + 1)
16a^2 + 4a

i need help this is dude tomorrow

Answers

Answer:

c. is the correct answer

C is your answer. Good luck

What is the volume???

Answers

Answer:

First find out the other side measurements. Then split the shape into seperate squares and find the area then add them all up.

Step-by-step explanation:

volume is length × width × height.

Answer:

240 cm cubed

Step-by-step explanation:

If you separate the shape into 2 figures, the first figures area is 180

and the second is 60.

180 + 60 = 240

Hope this helps!

HELPPPP MEE PLEASEEE!!!

Answers

Answer:

She made 80 total cookies because 25% of 64 is 16. 64 plus 16 is 80. You are adding the original amount(60) to 25%(16).

a) 64×25% = 64 ×0.25 = 64 + 16 = 80

b) 80 ×90% = 80×0.9 = 80 - 72 = 8 left

-6 (x+1) and explain how you know

Answers

Answer:

-6x - 6

Step-by-step explanation:

-6 x x = -6x

-6 x 1 = -6

put them together to get:

-6x - 6

Answer:

−6x−6

Step-by-step explanation:

AABC = AGHL Complete the congruence statement AB = ​

Answers

Answer:

AB = AH

Step-by-step explanation:

Hope This Helps!!

expand 2x(5x+4) please

Answers

Answer:

10x²+8x

Step-by-step explanation:

times everything in the bracket by 2x

Can someone pls help me asap!!!

Answers

Answer:

balloons

Step-by-step explanation:

to make it easier,there are only four tradic colors combination on basic color wheels Red,Yellow,Blue,

what is another to describe an equilateral triangle . PICK BELOW

Obtuse, Right, Acute, Scalene

Answers

The answer is a right triangle meaning that all sides and angles are equal.

Answer:

Acute angle

Step-by-step explanation:

because it less than 90 degree so it possible to be acute triangle

Solve using Square Roots.

16x² - 34=15

Answers

Answer:

[tex]\sqrt{\frac{49}{16}[/tex]

Step-by-step explanation:

What is the range of the function shown in the graph?
у
A
8
6
4
2
-8
f
- 2
X
4
6
8
-2
-4
-64
-8-1

Answers

Answer:

A

Step-by-step explanation:

The range of the given function from the given graph are: all values of y that are greater than or equal to -3. Therefore, the correct option is option D.

What is range of function?

It is seen to be best practice to define the word "range" the first time it appears in a book or article because it might have several different meanings. When the word "range" is used in older literature, it frequently refers to what is today known as the codomain.

If more recent texts use the phrase "range" at all, they typically do so to refer to what is now known as the image. Several contemporary novels shouldn't use the term "range" at all to avoid any misunderstandings.

A function's range is the set of each of its potential outputs1,2,3,4. That's the output that the function generates when all of its inputs are used3,5. The range of the given function from the given graph are: all values of y that are greater than or equal to -3.

Therefore, the correct option is option D.

To know more about range of function, here:

https://brainly.com/question/29051369

#SPJ7

Your question is incomplete but most probably your full question was,

What is the range of the function shown in the graph?

Does the table below represents a linear function why or why not

Answers

Answer:

No, it's not linear function.

Step-by-step explanation:

The x value repeatedly adds 3.

So far its a linear function.

If you look at the y value, it does NOT have a pattern, therefore that means it is NOT a linear function.

Last month, when Joe took his puppy to the veterinarian, the puppy weighed 5.5 pounds. This month, the puppy weighed 7.15 pounds. What is the percentage increase of the weight of the puppy?

Answers

Answer:

50

%

increase

Step-by-step explanation:

To calculate the percent change, whether it is an increase or decrease, you can use the same method:

change

original

×

100

%

The change in the puppy's weight  

=

7.8

5.2

=

2.6

pounds

2.6

5.2

×

100

%

=

50

%

increase

Notice that  

2.6

is half of  

5.2

, so an increase of  

50

%

is correct.

Help please I really need help, thank you

Answers

Answer:

What do you need help with? Answer and I will tell you anything you need.

Step-by-step explanation:

Encontrar las coordenadas del centro y la longitud del radio de la circunferencia 9x²+9y²+18x-12+10=0

Answers

Answer:

Step-by-step explanation:

The standard form of equation of a circle is expressed as;

x^2+y^2+2gx+2fy+c = 0

The centre is at (-g, -f)

Given the equation'

9x²+9y²+18x-12+10=0

Divide through by 9

9x²/9+9y²/9+18x/9-12y/9+10/9=0

x^2+y^2+2x-4/3 y + 10/9 = 0

Compare

2gx = 2x

g = 1

2fy = -4/3 y

2f = -4/3

f = -4/6

f = -2/3

The centre is (-(-2/3), -1) = (2/3, -1)

for the radius

r = √f²+g²-c

r =√(-2/3)²+1²-10

r =√4/9 - 9

r = √(4-81)/9

r = √-77/9

jasmine's swimming lesson lasts 2-3 of an hour it takes 1-6 of an hour to do her homework does jasmine's spend more time on her home work or her swimming lesson PLEASE HELP DUE TODAY IN I READY MATH BOOK

Answers

Answer:

spends more time on swimming

what can you double and then add -6 to get -16

Answers

Answer:

- 5

Step-by-step explanation:

let the number be n then double is 2n , so

2n + (- 6) = - 16

2n - 6 = - 16 ( add 6 to both sides )

2n = - 10 ( divide both sides by 2 )

n = - 5

The number is - 5

8 - 4+ (3 · 6)2 =
E. 22
F. 112
G. 328

Answers

Answer:

Step-by-step explanation:

8 - 4+ (3.6)2

= 8 - 4 + 7.2

= 11.2

hope it helps :)

What is BD? Plzzzsss Helppp

Answers

Answer:

Step-by-step explanation:

since the two angles are the same we can set up a relationship between the two triangles and set them equal to each other and solve for X  :) , as follows

SOH   sin = Opp / Hyp

triangle 1  )   sin(Ф) = x / 12

triangle 2 )    sin(Ф) = x + 5 / 27

since sin(Ф) is the same for each triangle.. set those other sides equal to each other

x/12 = x+5 /27

now solve for x using your mad algebra skilz  :P

27 / 12 = x + 5 / x

2 3/12  = x/x  + 5/x

2 1/4 = 1 + 5/x

1 1/4 = 5/x

x = 5 / 1 1/4

x = 4   nice  :)

So BD is then

4 + 4+5

so BD = 13  

tell your professor / teacher that you figured it out all on your own  :D

( yes.. that was tricky to figure out )

which letter would be the most meaningful variable for the problem situation the weight of a box increase by 5​

Answers

Answer:i

Step-by-step explanation:


A basketball shaped like a sphere has a diameter of 8 inches. Which measurement is
to the volume of the basketball in cubic inches?

Answers

Answer:

268

Step-by-step explanation:

The volume formula for a sphere is: V= [tex]\frac{4}{3}\pi r^{3}[/tex]

We also know that [tex]\pi[/tex] is approximately 3.14.

You have to know these in order to solve the question..

Since we also know the diameter is 8 we can also find the radius (r) ,which is half of the diamater so 4.

Now all we need to do it plug in the numbers.

V= [tex]\frac{4}{3}[/tex](3.14)[tex]4^{3}[/tex]

Now solve for the equation.

V=267.94...

So rounded that is 268.

Write an integer to match the following descriptions. a. A debit of $40 b. A deposit of $225 c. 14,000 feet above sea level d. A temperature increase of 40°F e. A withdrawal of $225 f. 14,000 feet below sea level

Answers

Hi I’m trying to help but I can’t find this

Glee

Hehehejdjjdhchchhdhd

What is the area of this

Answers

area of a triangle is base x height divide by 2
26x9=234
234 divide by 2 is 117

Find the area of the shaded portion below.

Round your answer to the nearest one (i.e. 0 decimal places).

Answers

Answer:

1,972

Step-by-step explanation:

Don't know but I had this same image on my test and I got it right.

It will probably only work if its multiple choice cause you said shaded area and mine just says the area so.

A car is purchased for £11 500 In its first year, the value of the car will depreciate by 15%. Each year after that, the value of the car will depreciate by 10%. What is the value of the car at the end of 3 years?

Answers

Answer:

Value of the car at the end of 3 years is £7917.75

Step-by-step explanation:

The car is purchased for £11500.

In the first year, 15% depriciation.

So, depreciation on first year =11500 *[tex]\frac{15}{100}[/tex] =1725

After first year depreciation the value of car =11500-1725 =£9775

Now, second year depreciation is 10%

So, 10% of 9775 =0.10*9775 =977.5

Value of car after 2 years = 9775 -977.5 =8797.5

Now, for third year depreciation is 10%.

So, depreciation on 3 year = 10% *8797.5

                                           =0.10*8797.5

                                          =879.75

So, value of car after 3 years = 8797.5 -879.75 =£7917.75

                                               

The chess club has a budget of at least $300 that the members can spend for the field trip. There are 20 people in the chess club. They get a discount of $60 for transportation for the field trip. What is the minimum that each member
of the chess club can spend on the trip?

Answers

Answer:

$12

Step-by-step explanation:

We are told that there are 20 people in the chess club and each got a discount of $60 for transportation on the field trip.

Let the amount spent by each member is x

Since there are 20 of them and the budget is at least $300 and they get a discount of $60, it means that;

20x ≥ 300 - 60

20x ≥ 240

Divide both sides by 20 to get;

x ≥ 12

Thus, minimum amount each member can spend is $12.

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