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
11Alexandr11 [23.1K]
3 years ago
8

The point (6, n) lies on the circle whose equation is (x − 1)2 + (y − 5)2 = 50. Find the values of n

Mathematics
2 answers:
julsineya [31]3 years ago
4 0

Answer:

n = 0 or 10

Step-by-step explanation:

From the question,

Equation of the circle = (x-1)²+(y-5)² = 50 ............... Equation 1

Coordinate of the circle = (6,n)

From the question

x = 6, y = n

Substitute the value of x and y into equation 1

(6-1)²+(n-5)² = 50

5²+(n-5)² = 50

25+(n-5)² = 50

(n-5)² = 50-25

(n-5)² = 25.

Solving for n

n-5 = √(25

n-5 = ±5

Either,

n-5 = -5

n = -5+5

n = 0

or

n-5 = +5

n = 5+5

n = 10

11111nata11111 [884]3 years ago
4 0

Answer:

n = 3.16

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 - 5)² = 50, that is, expanding using FOIL

5² + n² - 10n + 25= 50 by simplifying

25 + n² - 10n = 50 ( subtracting 50 from both sides and rearrange )

n² - 10n = 0 ← in standard form

n²=10

n = √10

The values of n is 3.16

You might be interested in
PLZ HELPPPPPPPPPPPPPPPPPPP
Law Incorporation [45]
We can see : KM = KL + LM
So : KM = 14 + 3 = 17
So KM = 17

Hope it helps! If it is, Brainliest please!
5 0
3 years ago
How can you construct a Venn diagram comparing the numbers 1 through 100 in these 4 areas: odd, even, composite and prime?
Misha Larkins [42]
I am not sure but, give me a minute

6 0
3 years ago
What is the solution to the inequality shown? -2(x + 3) < 6 - x x > -12 x < -12 x > 12 x < 12
Sonja [21]

Answer:

x < -12

Step-by-step explanation:

Given the inequality

-2(x + 3) < 6 - x

Expand

-2x - 6 < 6 - x

Collect the like terms;

-2x + x < 6 + 6

-x < 12

Multiply through by -1

-1(-x) < -1(12)

x < -12

6 0
2 years ago
The radius of a circular disk is given as 24 cm with a maximum error in measurement of 0.2 cm. (a) Use differentials to estimate
hoa [83]

Answer:

9.60πcm²

Step-by-step explanation:

Area of circular disk, A = πr²

Differntiate A with respect to r

dA/dr = π * (2r^(2-1)) /(2-1) + C

dA/dr = π * 2r/1

dA/dr = 2πr

dA = 2πr * dr

dA = 2πrdr

dA = maximum error ; dr= Error in measurement = 0.2 cm ; r = radius = 24cm

dA = 2π * 24 * 0.2

dA = 9.60πcm²

3 0
2 years ago
Which two equations represent a nonlinear function?
irina [24]

Answer:  See below.

Step-by-step explanation:

The formatting is likely incorrect for these two options:

y=(x−1)2, and  

y = ( x − − 1 ) 2

I'll assume they were meant to be:

y=(x−1)^2, and  

y = ( x + 1 )^2

In this case they would be non-linear, since y depends on the value of x^{2}

Use a "^" sign to indicate raised to a power:  x^2 means x^{2}.  

y=(x−1)2 means y = 2x - 2

y=(x−1)^2 means y = (x-1)^{2}

8 0
2 years ago
Other questions:
  • The hypotenuse of a right triangle is 1m longer than twice one of the other two sides. The third side of the triangle is 15m. Fi
    13·2 answers
  • How many 2-digit numbers can be formed from the digits 1 through 8 if each digit is only used once?
    6·2 answers
  • A guy wire is attached to an upright pole 6 meters above the ground. If the wire is anchored to the ground 4 meters from the bas
    13·1 answer
  • Manuel has a remaining balance of $563 on his credit card. His credit card company has an APR of 15 percent. How much will Manue
    15·2 answers
  • A triangle has the following side lengths: 4cm, 4cm, and 4cm. What kind of triangle is it?
    8·2 answers
  • Determine whether the following statement is true or false.
    5·1 answer
  • Please help me idk the answer
    9·2 answers
  • Find the circumference and round to the nearest hundredth
    12·2 answers
  • The speed of object A is 1,500 mph faster than that of object B. If
    7·2 answers
  • Barbara runs once around the track in 3 minutes 45 seconds. Liad runs around the track in 2
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!