Log In Registration
Ask an expert
Mathematics
11.02.2022 01:38
290
291
7
Solved by an expert

PLEASEEEEE HELP BIT FINALS TEST PLSSS :(

PLEASEEEEE HELP BIT FINALS TEST PLSSS :(
PLEASEEEEE HELP BIT FINALS TEST PLSSS :(
Show Answers
bobbyandskylabe
bobbyandskylabe
5,0(57 marks)

y = -0.75x + 9.5

Step-by-step explanation:

Equation of a circle is given as :

(x-a)^{2} + (y-b)^2 = r^{2} \\(x-6)^{2} + (y-5)^2 = 4^{2}\\x^{2} - 12x + 36 + y^{2} -10y + 25 = 16\\x^{2} - 12x + y^{2} -10y + 45 = 0\\

Take the derivative of the above with respect to x

2x - 12 + 2y dy/dx - 10 dy/dy = 0\\\frac{dx}{dy} = \frac{6 - x}{y-5} \\At (2,8) dy/dx = (6-2)/(8-5) = 4/3\\dy/dx = 4/3\\The slope of the tangent to the circle, m = \frac{-1}{dy/dx} \\m = \frac{-1}{4/3}\\m= -0.75

The equation of the tangent is given by :

y - y_{1} = m(x - x_{1})\\ y - 8 = -0.75(x - 2)\\y - 8 = -0.75x + 1.5\\y = -0.75x + 9.5

Popular Questions about the subject: Mathematics

Which steps could be part of the process in algebraically solving the system...
Which steps could be part of the process in algebraically solving the system of equations, y + 5x = x2 + 10 and y = 4x 10? Select two options. Dy = x2 + 5x +...
Mathematics
24.02.2022 19:47
A car travels on the highway to Yuma at a steady speed. When it begins it...
A car travels on the highway to Yuma at a steady speed. When it begins it is 400 miles from Yuma. After seven hours it is 50 miles from Yuma. Which function describes...
Mathematics
18.02.2023 08:20
Using the rule y = 4x+7...
Using the rule y = 4x+7...
Mathematics
06.08.2022 23:11
A fruit basket is filled with 8 88 bananas, 3 33 oranges, 5 55 apples, and...
A fruit basket is filled with 8 88 bananas, 3 33 oranges, 5 55 apples, and 6 66 kiwis. For every 3 33 kiwis, there are 4 44 _ _ _ _ \_, \_, \_, \_....
Mathematics
24.01.2023 18:11
( Any Help?? .20 points. lolol ) A lab assistant tracked an object’s travel...
( Any Help?? .20 points. lolol ) A lab assistant tracked an object’s travel time in hours. However, the lab director wants the time tracked in minutes. A 2-column...
Mathematics
19.07.2021 06:48
Please help I have brain damage...
Please help I have brain damage...
Mathematics
15.07.2022 22:24
Just make the inequality Since the britts younger daughter hadn’t taken part...
Just make the inequality Since the britts younger daughter hadn’t taken part in the mathematical deliberations about the candy to purchase, she was selected to...
Mathematics
11.03.2020 01:50
What percent is equivalent to Two-thirds? 66 and one-third percent 66 and...
What percent is equivalent to Two-thirds? 66 and one-third percent 66 and three-fifths percent 66 and two-thirds percent 66 and StartFraction 7 Over 10 EndFraction...
Mathematics
07.03.2022 01:40
Answer choices A) 2 B) 11 C) 20 D) 29...
Answer choices A) 2 B) 11 C) 20 D) 29...
Mathematics
04.11.2020 06:30
Solve for x PLEASEEE 2x-7+4=x+4...
Solve for x PLEASEEE 2x-7+4=x+4...
Mathematics
23.07.2022 16:48

New questions by subject

PLEASSSSE HELP ASAP PRETTY PLEASE...
PLEASSSSE HELP ASAP PRETTY PLEASE...
Chemistry
20.09.2021 10:15
Help or no cookies and no home...
Help or no cookies and no home...
Social Studies
05.06.2020 11:26
Help please 1. Match the answers to the questions...
Help please 1. Match the answers to the questions...
English
03.05.2022 09:07
Try it Match the first line of each heroic couplet with the correct second...
Try it Match the first line of each heroic couplet with the correct second line. The glory, jest, and riddle of the world! Sole judge of truth, in endless error...
English
03.12.2020 20:18
23.2.5 Quiz: Ancient India Question 2 of 5 Which phrase best completes the...
23.2.5 Quiz: Ancient India Question 2 of 5 Which phrase best completes the diagram? Harappan civilization Created a written language ? Declined because of droughts...
History
06.04.2021 07:05
What is the solution to 4+ 2x=4...
What is the solution to 4+ 2x=4...
Mathematics
20.06.2020 06:42
List the following numbers from least to greatest -5, 0, 2, -20 -6,1,0,-15...
List the following numbers from least to greatest -5, 0, 2, -20 -6,1,0,-15...
Mathematics
03.08.2022 00:04
F(x)= 1.5x + 7 Solve please...
F(x)= 1.5x + 7 Solve please...
Mathematics
09.03.2021 20:59
How were 2 settings in the book Bridge to Terabithia By Katherine Paterson...
How were 2 settings in the book Bridge to Terabithia By Katherine Paterson similar and how were they different? Use specific details from the book to answer....
English
02.01.2021 18:06
When the cost of food is very low, so the US buys food for the purpose of...
When the cost of food is very low, so the US buys food for the purpose of distributing it to the poor *...
English
19.06.2020 00:35
Find out answers to questions
from an AI-bot
Get full access
Answers
Themes
Family and Home Sport Other Dating, Love, Relationships Health and Medicine Science and Technology Cities and Countries Travel and tourism Food and Cooking Philosophy Style and Beauty Animals and plants Business and Finance Construction and repair Leisure and Entertainment Legal consultation Goods and services Society and Politics Photography and Videography Auto and Moto Art and Culture Computers and Internet Horoscopes, Magic, Divination Work and Career Business Law Spanish SAT Engineering Social Studies Computers and Technology World Languages Mathematics French Biology Arts History Geography Health Chemistry Medicine Physics English Advanced Placement (AP) German
#
#
#
#
# #

We expand our knowledge with many expert answers

Answers