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
dybincka [34]
3 years ago
12

A circle is centered at (5, -9) and has a radius of 12. What is the equation for this circle

Mathematics
1 answer:
WINSTONCH [101]3 years ago
3 0
(x - 5)² + (y + 9)² = 144
You might be interested in
Polar coordinates of a point are given. Find the rectangular coordinates of the point. (-5, -180°)
zloy xaker [14]
Polar coordinates : r= - 5, α= - 180⁰.
Rectangular coordinates : 
x=r*cosα = (-5)*cos (-180⁰)=(-5)*(-1)=5
y=r*sinα = (-5)*sin(-180⁰)=(-5)*0=0

So, <span>(-5, -180°) (polar coordinates) is the same as (5,0) (rectangular coordinates).</span>

4 0
3 years ago
A wire is attached to the top of a tower that is 100 feet tall. The wire is attached to the ground 40 feet of the tower What is
m_a_m_a [10]

Answer:

5/2

Step-by-step explanation:

i hope this is the answer

8 0
2 years ago
Teacher raises A school system employs teachers at
Cerrena [4.2K]

By adding a constant value to every salary amount, the measures of

central tendency are increased by the amount, while the measures of

dispersion, remains the same

The correct responses are;

(a) <u>The shape of the data remains the same</u>

(b) <u>The mean and median are increased by $1,000</u>

(c) <u>The standard deviation and interquartile range remain the same</u>

Reasons:

The given parameters are;

Present teachers salary = Between $38,000 and $70,000

Amount of raise given to every teacher = $1,000

Required:

Effect of the raise on the following characteristics of the data

(a) Effect on the shape of distribution

The outline shape of the distribution will the same but higher by $1,000

(b) The mean of the data is given as follows;

\overline x = \dfrac{\sum (f_i \cdot x_i)}{\sum f_i}

Therefore, following an increase of $1,000, we have;

 \overline x_{New} = \dfrac{\sum (f_i \cdot (x_i + 1000))}{\sum f_i} =  \dfrac{\sum (f_i \cdot x_i + f_i \cdot 1000))}{\sum f_i} = \dfrac{\sum (f_i \cdot x_i)}{\sum f_i} + \dfrac{\sum (f_i \cdot 1000)}{\sum f_i}

\overline x_{New} = \dfrac{\sum (f_i \cdot x_i)}{\sum f_i} + \dfrac{\sum (f_i \cdot 1000)}{\sum f_i} = \dfrac{\sum (f_i \cdot x_i)}{\sum f_i} + 1000 = \overline x + 1000

  • Therefore, the new mean, is equal to the initial mean increased by 1,000

Median;

Given that all salaries, x_i, are increased by $1,000, the median salary, x_{med}, is also increased by $1,000

Therefore;

  • The correct response is that the median is increased by $1,000

(c) The standard deviation, σ, is given by \sigma =\sqrt{\dfrac{\sum \left (x_i-\overline x  \right )^{2} }{n}};

Where;

n = The number of teaches;

Given that, we have both a salary, x_i, and the mean, \overline x, increased by $1,000, we can write;

\sigma_{new} =\sqrt{\dfrac{\sum \left ((x_i + 1000) -(\overline x  + 1000)\right )^{2} }{n}} = \sqrt{\dfrac{\sum \left (x_i + 1000 -\overline x  - 1000\right )^{2} }{n}}

\sigma_{new} = \sqrt{\dfrac{\sum \left (x_i + 1000 -\overline x  - 1000\right )^{2} }{n}} = \sqrt{\dfrac{\sum \left (x_i + 1000 - 1000 - \overline x\right )^{2} }{n}}

\sigma_{new} = \sqrt{\dfrac{\sum \left (x_i + 1000 - 1000 - \overline x\right )^{2} }{n}} =\sqrt{\dfrac{\sum \left (x_i-\overline x  \right )^{2} }{n}} = \sigma

Therefore;

\sigma_{new} = \sigma; <u>The standard deviation stays the same</u>

Interquartile range;

The interquartile range, IQR = Q₃ - Q₁

New interquartile range, IQR_{new} = (Q₃ + 1000) - (Q₁ + 1000) = Q₃ - Q₁ = IQR

Therefore;

  • <u>The interquartile range stays the same</u>

Learn more here:

brainly.com/question/9995782

6 0
2 years ago
Janice is thinking of two numbers. She says that two times the first number plus the second number is 47. In​ addition, the firs
Whitepunk [10]
Let the numbers be x and y, then
2x + y = 47 . . . (1)
x + 3y = 56 . . . (2)

(2) x 2 => 2x + 6y = 112 . . . (3)

(1) - (3) => -5y = -65 => y = -65/-5 = 13
From (2), x + 3(13) = 56 => x = 56 - 39 = 17

The two numbers are 13 and 17.
3 0
3 years ago
How many more students were enrolled at the University of Michigan in 1950 than in 1900
zavuch27 [327]
Well to be very accurate and clear the answer I must choose is a lot
4 0
3 years ago
Other questions:
  • Can somebody please help me with these
    7·1 answer
  • (13+9) + 37<br><br><br> Please help me answer this
    13·2 answers
  • Luis has 8 petunias, 16 carnations, 20 pansies to plant flowerpots. If he plants that same number of each type of flower in flow
    12·1 answer
  • Determine whether each number is a perfect square. If it is a perfect square, write
    15·1 answer
  • What is the point of a pythagorean theorem?
    6·1 answer
  • If nominal GDP is 2400 and the money supply is 400, what is the velocity?
    6·1 answer
  • Factorise the expressions and divide them as directed.​
    14·1 answer
  • What is the equation
    13·1 answer
  • Evelyn earned a score of 86 on Exam A that had a mean of 71 and a standard deviation of 20. She is about to take Exam B that has
    8·1 answer
  • For the following right triangle find the side length 19,12 x. Round the nearest hundredth
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!