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
mart [117]
3 years ago
15

Write the equation in standard form for the circle with center (5,0) passing through (-1, 9/2)

Mathematics
1 answer:
andreev551 [17]3 years ago
3 0

Answer:

(x - 5)^2 + y^2 = 225/4,

or you could write it as (x - 5)^2 + y^2 = 56.25.

Step-by-step explanation:

The factor form is

(x - h)^2 + (y - k)^2 = r^2  where the center is (h, k) and r = the radius.

So we have:

(x - 5)^2 + (y - 0)^2 = r^2

As the point  (-1, 9/2) is on the line:

(-1 - 5)^2 +  (9/2)^2 = r^2

r^2 =  36 +  81/4

r^2 = 225/4.

So  substituting for r^2:

(x - 5)^2 + (y - 0)^2 = 225/4

(x - 5)^2 + y^2 = 225/4 is the standard form.

You might be interested in
Need a step by step explanation pls help me
AlladinOne [14]

Answer:

This is my guess...

"Even today, the need for work is a common reason people move to urban areas."

Step-by-step explanation:

The article talks about technology and how it lead to bigger cities in the past. Because we are reading about prior years, there is no need to talk about the present day.

7 0
2 years ago
Help me please
Nata [24]

Answer:

-3 square root of 8 8/3 square root of 9

6 0
3 years ago
$428 for 4 concert tickets.
4vir4ik [10]

Answer:

$428 for 4 concert tickets would equal $1,712

7 0
2 years ago
Read 2 more answers
Because of staffing decisions, managers of the Gibson-Marion Hotel are interested in the variability in the number of rooms occu
olchik [2.2K]

Answer:

a) s^2 =30^2 =900

b) \frac{(19)(30)^2}{30.144} \leq \sigma^2 \leq \frac{(19)(30)^2}{10.117}

567.28 \leq \sigma^2 \leq 1690.224

c) 23.818 \leq \sigma \leq 41.112

Step-by-step explanation:

Assuming the following question: Because of staffing decisions, managers of the Gibson-Marimont Hotel are interested in  the variability in the number of rooms occupied per day during a particular season of the  year. A sample of 20 days of operation shows a sample mean of 290 rooms occupied per  day and a sample standard deviation of 30 rooms

Part a

For this case the best point of estimate for the population variance would be:

s^2 =30^2 =900

Part b

The confidence interval for the population variance is given by the following formula:

\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma^2 \leq \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}

The degrees of freedom are given by:

df=n-1=20-1=19

Since the Confidence is 0.90 or 90%, the significance \alpha=0.1 and \alpha/2 =0.05, the critical values for this case are:

\chi^2_{\alpha/2}=30.144

\chi^2_{1- \alpha/2}=10.117

And replacing into the formula for the interval we got:

\frac{(19)(30)^2}{30.144} \leq \sigma^2 \leq \frac{(19)(30)^2}{10.117}

567.28 \leq \sigma^2 \leq 1690.224

Part c

Now we just take square root on both sides of the interval and we got:

23.818 \leq \sigma \leq 41.112

5 0
3 years ago
CAN SOMEONE HELPPPP!!!!
Nesterboy [21]

Answer:

z=10

10-5z=-4z

10=-4z+5z

10=z

5 0
3 years ago
Read 2 more answers
Other questions:
  • It is reported that 32% of shoppers use cash to pay for their purchases. Based on this report, if a store has 250 sales in one d
    13·2 answers
  • To measure the distance from the U.S. Istanbul, Turkey you would most likely use
    10·2 answers
  • In how many ways can the top six seeds (rankings) be chosen from nine players on the tennis team
    11·1 answer
  • What is the value of x? Teach me
    5·1 answer
  • Can somebody please help me with 3 and 5. Please don’t answer if you are not sure. 17 points
    10·1 answer
  • Jacob distributed a survey to his fellow students asking them how many hours they'd spent playing sports in the past day. He als
    14·1 answer
  • You move right 3 units and left 9 units. You end at (-5, 0). Where did you start?
    15·2 answers
  • A triangle has an area of 18ft squared. List all the possible positive integers that could represent its base and height. Use se
    14·1 answer
  • The equation whose roots are multiplied by 3 of those of 2x^2 + 3x – 1=0 is​
    10·1 answer
  • Which unit would probably be used to measure how long a cell phone is?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!