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
Nastasia [14]
3 years ago
5

The point (6, n) lies on the circle whose equation is (x − 1)2 + (y − 3)2 = 74. Find the values of n.

Mathematics
1 answer:
insens350 [35]3 years ago
4 0

Answer:

n = - 4, n = 10

Step-by-step explanation:

Since the point (6, n) lies on the circle then the coordinates of the point make the equation true.

Substitute x = 6 and y = n into the equation

(6 - 1)² + (n - 3)² = 74, that is, expanding using FOIL

5² + n² - 6n + 9 = 74 ← simplifying

34 + n² - 6n = 74 ( subtract 74 from both sides and rearrange )

n² - 6n - 40 = 0 ← in standard form

(n - 10)(n + 4) = 0 ← in factored form

Equate each factor to zero and solve for n

n - 10 = 0 ⇒ n = 10

n + 4 = 0 ⇒ n = - 4

The values of n are - 4 and 10

You might be interested in
Max is spending the afternoon at the ice rink with friends. it costs $7.00 to rent skates for a day, and $4.00 for each hour of
Simora [160]

Answer:

20 greater than or equal to 4x + 7

Step-by-step explanation:

hope this helps!

4 0
2 years ago
Solve for x. 9x=288
olga55 [171]

Answer:

x = 32

Step-by-step explanation:

9x=288

divde both side by 9

8 0
3 years ago
Read 2 more answers
Simplest form 4 1/4 + 3 2/6
Ierofanga [76]
If you find a common denominator for the two, which is 12 it will make it easier to add. So 4 3/12 + 3 4/12 = 7 7/12.
your answer is 7 7/12.
4 0
3 years ago
Someone please help me with this question, I don’t know what to do.
Lelu [443]

Answer:

22.5

Step-by-step explanation:

What you need to do is calculate the volume of the Box. With the box being the volume of the piramid added to the prism surrounding the box with volume 15.

If you want to calculate it yourself stop reading here, because I will work it out now.

Volume box = a*b*c

Volume prism = 15

Volume pyramid = (b * c * a)/3

The prism has the volume of the box minus the pyramid so

abc - (abc)/3 = 15

abc - (1/3)abc = 15

(2/3)abc = 15

abc = 22.5

So 22.5 is the volume of the figure

8 0
3 years ago
Kaylee is painting a design on the floor of a recreation room using equilateral triangles. She begins by painting the outline of
KatRina [158]
The correct answer for the given problem above would be the fourth triangle. So here is the given solution: Since Triangle 1 is already given with a measurement of 50 inches, and 80% of 50 inches if 40. Triangle 2 then is 40 inches. 80% of 40 is 32, so triangle 3 is 32 inches, and then 80% of 32 is 25.6 inches so triangle 4 is 25.6 inches. Therefore, the triangle that will first have a side length of less than 29 inches is triangle 4.
8 0
3 years ago
Read 2 more answers
Other questions:
  • What decimal equivalent of 5/6
    10·1 answer
  • The table represents a quadratic function that shows how a company's cost to manufacture an item depends on the total number of
    12·2 answers
  • Simply 3mn^4+6mn^4 please help
    12·2 answers
  • (need answers asap) A news reporter wants to estimate the percentage of registered voters who will vote for a particular candida
    5·2 answers
  • Please help asap I need it in an hour
    11·1 answer
  • Ericka's book is 675 pages long and she has read 325 pages so far. If Ericka reads 80 pages per day,
    11·1 answer
  • Show that the two shorter sides in triangle A have the same length as the two shorter sides in triangle B
    6·1 answer
  • Evan sells bicycles in his store. He marks up the prices by 40% of what he pays for them. If he
    6·1 answer
  • What is the solution for -4x - 10 ≤ 2?
    14·1 answer
  • Amanda deposited 4000 into an account with 3.7% interest, compounded quarterly. Assuming that no withdrawals are made, how much
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!