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
Which statements about the factors of the terms in the expression 20 a + 15 a b + 24 b are true? Select three options.
ExtremeBDS [4]

Answer:

Following are the true statements

2. The factors common to 20a and 15ab are 1, 5, and a.

3. The factors common to 20a and 24b are 1, 2, and 4.

5. The GCF of the expression is 1

Step-by-step explanation:

Expression is  20a + 15ab + 24b

Now lets have a look at each of the options provided!

1. The factors common to 20a and 15ab are 1, 5, a, and b.

False

As you can see there is no b in 20a term only 1,5,a are common hence it is false.

2. The factors common to 20a and 15ab are 1, 5, and a.

True

The terms 20a and 15ab are divisible by 1,5,a hence it is true.

3. The factors common to 20a and 24b are 1, 2, and 4.

True

The terms 20a and 24b are divisible by 1,2,4 hence it is true

4. The GCF of the expression is ab.

False

20a + 15ab + 24b

As you can see ab is not common in all of the terms hence it cannot be greatest common factor

5. The GCF of the expression is 1

True

Factor of 20 are: 2,2,5,1

Factor of 15 are: 3,5,1

Factor of 24 are: 2,2,2,3,1

As you can see the only common factor among all the terms is 1 hence GCF is 1.

5 0
3 years ago
Select the correct answer.
skelet666 [1.2K]

Answer: the answer is 3

Step-by-step explanation:

got it right on edmentum I am a smart mf

8 0
2 years ago
Jeffery babysits for 4 dollars per hour, he also works as a math tutor for 7 dollars per hour. He is only allowed to work 13 hou
Oksana_A [137]

Given:

Jeffery babysits for 4 dollars per hour and works as a math tutor for 7 dollars per hour.

He is only allowed to work 13 hours total per week.

He wants to make at least 65 dollars.

To find:

The system of inequalities to represent this situation.

Solution:

Let x be the number of hours he babysits per week and y be the number of hours h works as a math tutor.

He is only allowed to work 13 hours total per week.  It means sum of x and y must be less than or equal to 13.

x+y\leq 13

He wants to make at least 65 dollars. It means total earnings must be greater than or equal to 65.

4x+7y\geq 65

Number of hours can not be negative.

x\geq 0, y\geq 0.

Therefore, the required system of inequalities contains some equations,  x+y\leq 13,4x+7y\geq 65 and x, y\geq 0.

4 0
2 years ago
Two factors of 18 add up to 12. What are they?
stepladder [879]

Answer:

3 and 9

Step-by-step explanation:

The factors of 18 can be listed as

1, 2, <u>3</u>, 6, <u>9</u>, 18

The two which sum to 12 are 3 and 9

7 0
2 years ago
How do I do this I need help fast
Inga [223]

Answer:

the answer is 7:6 :)

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Other questions:
  • Given the system of equations, what is the x-coordinate of the solution?
    8·2 answers
  • How do you solve -3y+12=-48
    15·2 answers
  • (7/2b - 3) - (8 + 6b)<br> A. -5/2b - 11<br> B. 8b - 15
    6·2 answers
  • What are some ways in which companies can attract and retain employees? (site 2)
    9·2 answers
  • X<br>+ 3 + 5x =<br>I dont know<br>understand<br>this help me​
    12·2 answers
  • Write as an inequality y is less than 0 and greater than -6
    10·1 answer
  • Four different sets of objects contain 2,5,6 and 7 objects respectively how many unique combinations can be formed by picking on
    11·1 answer
  • Using the graph, determine the equation of the circle
    8·1 answer
  • A number line contains points Q, R, S, and T. Point Q is on the coordinate 4, R is on the coordinate 8, S is on the coordinate 9
    13·1 answer
  • 4x-8y=-26 9x+4y=13 <br> Stuck on my math homework again
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!