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
Plz help me plzzzzzzzzzz
Effectus [21]

Answer:

I think the answer is 7;

Step-by-step explanation:

All i did was subtract Q11 from all 4 of its sides;

11=4=7

7 0
2 years ago
PLEASE PLEASE HELP
marta [7]

Answer:

Approximately 3 grams left.

Step-by-step explanation:

We will utilize the standard form of an exponential function, given by:

f(t)=a(r)^t

In the case of half-life, our rate <em>r</em> will be 1/2. This is because 1/2 or 50% will be left after <em>t </em>half-lives.

Our initial amount <em>a </em>is 185 grams.

So, by substitution, we have:

\displaystyle f(t)=185\big(\frac{1}{2}\big)^t

Where <em>f(t)</em> denotes the amount of grams left after <em>t</em> half-lives.

We want to find the amount left after 6 half-lives. Therefore, <em>t </em>= 6. Then using our function, we acquire:

\displaystyle f(6)=185\big(\frac{1}{2}\big)^6

Evaluate:

\displaystyle f(6)=185\big(\frac{1}{64}\big)\approx2.89\approx 3

So, after six half-lives, there will be approximately 3 grams left.

3 0
2 years ago
Several students decide to start a T-shirt company after initial expenses of $280 they purchase each T-shirt wholesale for $3.99
JulsSmile [24]
10.99x = 3.99x + 280
7x = 280
x = 40
They must sell 40 T-shirts to break even
4 0
2 years ago
Read 2 more answers
Find the axis of symmetry for this parabola: <br><br> y=-5x^2-10x-13
Dmitry [639]

Answer:

x=1

Step-by-step explanation:

1. Complete the square on the right side of the equation.

5 ( x − 1 )2 − 18

2. Use the vertex form,  y = a ( x − h ) 2 + k , to determine the values of  a ,  h , and  k . a= 5 h = 1 k = − 18

3. Since the value of  a  is positive, the parabola opens up.

Opens Up

4. Find the vertex  ( h , k ) . ( 1 , − 18 )

5. Find  p , the distance from the vertex to the focus.

1 /20

6. Find the focus.

7. ( 1 , − 359/ 20 )

8. Find the axis of symmetry by finding the line that passes through the vertex and the focus.

ANSWER: x = 1

6 0
2 years ago
Is 10/18 and 45/18 proportional
ValentinkaMS [17]

Answer:

No

Step-by-step explanation:

10/18 does not equal 45/18

An example of a proportional number is:

4/5 and 8/10

Both numbers are multiplied by 2 making them proportional

10/18 and 45/18 are not proportional

Hope this helped :)

6 0
3 years ago
Other questions:
  • What type of number is shown below? 0.313311333111...
    13·1 answer
  • 24 POINTS!!!!!!!!
    11·1 answer
  • Could use some help with these. They r confusing!!
    8·1 answer
  • Caleb's goal is to find a job that provides an income of at least $70,000 a year. Vanessa's Furniture offers him a job paying a
    9·1 answer
  • The radius of a circular sign is 12 inches. Equal parts of the the sign are painted red and yellow. How many square inches are p
    6·1 answer
  • Five more than twice a number is -13. Find the number.<br><br>helpp
    12·1 answer
  • Please help me sue tonight
    7·1 answer
  • Is the following relation a function?
    13·1 answer
  • Tom has $105 and gets $25 Every week from his parents as an allowance. What is The equation relating to how much money he will h
    15·1 answer
  • Find the equation of a line perpendicular to y = (75)x - 1 and has a y-<br> intercept of 1.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!