1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ANEK [815]
3 years ago
5

Determines the equation of the circumference passing through points A (-2; 0), B (6; 0) and having the center on the line x + 2y

+ 4 = 0. It then determines the line tangent to the circumference at point A .​
Mathematics
1 answer:
Alenkasestr [34]3 years ago
4 0

Answer:

y = 4/3 x + 8/3

Step-by-step explanation:

A (-2; 0), B (6; 0) on circle circumference, circle center O (h , k) and radius r

(-2 - h)² + (0 - k)² = r²

(6 - h)² + (0 - k)² = r²

(-2 - h)² = (6 - h)²

4 + 4h + h² = 36 - 12h + h²

16h = 32           h = 2

the center on the line x + 2y + 4 = 0, ∴ 2 + 2y + 4 = 0

y = -3   i.e.  k = -3         center O (2 , -3)

segment OA: (2 , -3) (-2 , 0)

slope OA = (-3 - 0) / (2 - (-2)) = -3 /4

tangent line through A (Lₐ) slope Lₐ = 4/3

y = mx + b    for A(-2 , 0)

b = y - mx = 0 - (4/3 x (-2)) = 8/3

line tangent to the circumference at point A: y = 4/3 x + 8/3

You might be interested in
If the theater has 180 seats in 20 rows, then how many seats are there in 4 rows?
UkoKoshka [18]

Answer:

The sum is 10(16 + 54) =700

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Select the correct answer.
Anastaziya [24]

Answer:

yo

Step-by-step explanation:

8 0
3 years ago
-4=b/2 <br> a)-8<br> b)-2<br> c)2<br> D)8
Kitty [74]
Answer : A {-8}

-4 = b/2

-4 *2 = b

-8 = b
7 0
3 years ago
Emerson has an associate degree. Based on the bar chart below, how will his employment opportunities change from 2008-2018?
ANEK [815]

Answer:

19% change

Step-by-step explanation:

Since, Emerson has an associate degree,

His employment is 19% changed in 10 years, i.e. from 2008 to 2018.

Because the bar graph shown the percentage of change in employment from 2008 to 2018.

Also, Employment of associate degree is most affected in 10 years.

And those who have job training and work experience is least affected in these 10 years.

5 0
3 years ago
Help !!!! rectangle pqrs has side lengths of 7 and 3 as shown on the grid below
Inessa05 [86]
Even though you have reflected this triangle, your side length would still be the same. Explanation: Reflection is when you take an object on your coordinate plain and put it somewhere else on the plain. So if side QR is 3 than side Q’R’ would also be 3. Hope this helps!
3 0
3 years ago
Read 2 more answers
Other questions:
  • How to change decimal answer to fraction on calculator ti 84?
    10·1 answer
  • What is the slope intercept form in equation form of this graph?
    13·1 answer
  • What is - x when x is = to 12
    5·1 answer
  • Two numbers have a sum of -9. One number is x. What expression represents the other number?
    7·1 answer
  • Help please? Brainliest and points!
    11·2 answers
  • Can I take a photo of my question lol
    15·1 answer
  • I NEED THIS FOR A TEST PLZ HELP!!!
    9·2 answers
  • I need to find the measure
    8·1 answer
  • 7 feet =___inches can some one help me with this​
    10·2 answers
  • A rectangular pool has a 6 ft
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!