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
Natali5045456 [20]
2 years ago
8

If the coordinates of the endpoints of a diameter of the circle are known, the equation of a circle can be

Mathematics
1 answer:
miskamm [114]2 years ago
6 0

The equation of the circle would be (x - 1)² + (y - 3)² = 65.

<h3>What is the equation of a circle?</h3>

The equation of a circle with center (h,k) and radius, r in center radius form is given;  

(x - h)² + (y - k)² = r²

The coordinates of the center of the circle can be calculated by the formula

((x₁ + x₂)/2, (y₁ + y₂)/2).

The point (x₁,y₁) = (9, 2) and (x₂,y₂) = (-7, 4).

So, ((9 -7)/2, (4 + 2)/2) = (1, 3).

Now, r² = (x₂ - x₁)² + (y₂ - y₁)².

Let (x₁, y₁) = (1, 3) and (x₂, y₂) = (-7, 4).

So, r² = (-7 -1)² + (4 - 3)²

= -8² + 1² = 64 + 1 = 65.

With center (h,k) = (1, 3) and r² = 65, we have

Thus, the equation would be (x - 1)² + (y - 3)² = 65.

Learn more about the equation of circle;

brainly.com/question/14786372

#SPJ1

You might be interested in
Write an equation and solve for x
pashok25 [27]
X would equal 53° since a triangle has to equal 180°, 65 + 62 = 127, 180-127=53°
3 0
2 years ago
A research group wants to know if the online platform to play Settlers of Catan is being accessed more after the stay at home or
Gre4nikov [31]

Answer:

a) The P-value is 0.

At a significance level of 0.05, there is enough evidence to support the claim that the online platform was accessed significantly more so than before the stay at home order.

b) Effect size d = 0.77

Medium.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the online platform was accessed significantly more so than before the stay at home order.

Then, the null and alternative hypothesis are:

H_0: \mu=1000\\\\H_a:\mu> 1000

The significance level is 0.05.

The sample has a size n=108000.

The sample mean is M=1378.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=489.

The estimated standard error of the mean is computed using the formula:

s_M=\dfrac{s}{\sqrt{n}}=\dfrac{489}{\sqrt{108000}}=1.488

Then, we can calculate the t-statistic as:

t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{1378-1000}{1.488}=\dfrac{378}{1.488}=254.036

The degrees of freedom for this sample size are:

df=n-1=108000-1=107999

This test is a right-tailed test, with 107999 degrees of freedom and t=254.036, so the P-value for this test is calculated as (using a t-table):

\text{P-value}=P(t>254.036)=0

As the P-value (0) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

At a significance level of 0.05, there is enough evidence to support the claim that the online platform was accessed significantly more so than before the stay at home order.

The effect size can be estimated with the Cohen's d.

This can be calculated as:

d=\dfrac{M-\mu}{\sigma}=\dfrac{1378-1000}{489}=\dfrac{378}{489}=0.77

The values of Cohen's d between 0.2 and 0.8 are considered "Medium", so in this case, the effect size d=0.77 is medium.

5 0
3 years ago
A rectangular box with an open top has a length of x feet, a width of y feet, and a height of z feet. it costs $4.20 per square
ozzi

To solve this problem you must apply the proccedure shown below:

1. You have that:

-The length is x feet.

- The width is y feet.

- The height is z feet.

2. The box has one base. The cost of the base is:

c1=4.20xy

3. It has four sides. The cost of the sides are:

c2=2(0.75yz)+2(0.75xy)\\ c2=1.5yz+1.5xy

The answer is: The total cost is c=c1+c2\\ c=4.20xy+1.5yz+1.5xy

7 0
3 years ago
What is the area of the red? Use 3.14 for π.
grigory [225]
Ask your teacher that’s all you have to do.
8 0
3 years ago
find the area of a parrellelogram whose base is of length 25 cm and the corresponding altitude is of length 8.4 cm​
Free_Kalibri [48]

Answer:

Check the above photo and do the sum

6 0
2 years ago
Other questions:
  • Write the augmented matrix for each system of equations.
    10·1 answer
  • What is the vertex of the absolute value function defined by ƒ(x) = |x + 2| + 4?
    15·2 answers
  • Suppose measure of angle ABC equals 110, what is the measure of angle DBC?
    11·1 answer
  • What number has 7 thousands, 3 fewer hundreds than thousands, 1 more ten than thousands, and 1 more one than hundreds?
    6·2 answers
  • Lucy found that a solution of x = − 4 was extraneous for her function. What would be a possible denominator in Lucy's function?
    13·2 answers
  • Elliott has some yarn that she will use to make hats and scarves. Each hat uses 2 yards of yarn and each scarf uses 3 yards of y
    10·1 answer
  • The owner of a small store buys coats for ​$55.00 each. Answer parts a and b. a. She sells the coats for ​$99.00 each. What perc
    10·1 answer
  • | x - 2| = | 4 + x |
    15·1 answer
  • Determine the sum of the first 1000 Natural numbers
    5·1 answer
  • The May bank statement for Rental shows a balance of $6,000, but the balance per books shows a cash balance of $8,000. Other inf
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!