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
uranmaximum [27]
3 years ago
5

A circle has the equation x2+y2−8x−2y−17=0.

Mathematics
1 answer:
natali 33 [55]3 years ago
5 0

Answer:

A

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Given

x² + y² - 8x - 2y - 17 = 0

Collect the x- terms and the y- terms together and add 17 to both sides

x² - 8x + y² - 2y = 17

Use the method of completing the square on both x and y terms.

add ( half the coefficient of the x/ y terms )² to both sides

x² + 2(- 4)x + 16 + y² + 2(- 1)y + 1 = 17 + 16 + 1

(x - 4)² + (y - 1)² = 34 → A

You might be interested in
You owe your teacher $26 for the class
valkas [14]

Answer:

Step-by-step explanation:

$15 should be it

3 0
3 years ago
Can someone please help me with this? Thank you!! <3
vova2212 [387]
The answer is 18…………………..
5 0
2 years ago
Read 2 more answers
If EFGH is a parallelogram, what is the value of x?
Vladimir [108]

Based on the property of the consecutive angles of a parallelogram, the value of x is calculated as: E. 37.

<h3>What are the Properties of the Angles of a Parallelogram?</h3>

In a parallelogram, the angles that are opposite to each other are congruent while consecutive angles are supplementary.

Angles F and G are consecutive angles and are therefore supplementary (have a sum of 180 degrees.)

Angle F + angle G = 180

4x - 2 + 34 = 180

4x + 32 = 180

4x = 180 - 32

4x = 148

x = 148/4

x = 37

Value of x is: E. 37.

Learn more about parallelogram on:

brainly.com/question/3050890

#SPJ1

4 0
2 years ago
The central limit theorem states that sampling distributions are always the same shape as the population distribution from whenc
sergejj [24]

Explanation:

The sample mean is not always equal to the population mean but if we take more and more number of samples from the population then the mean of the sample would become equal to the population mean.

The Central Limit Theorem states that we can have a normal distribution of sample means even if the original population doesn't follow normal distribution, But we have to take a lot of samples.

Suppose a population doesn't follow normal distribution and is very skewed then we can still have sampling distribution that is completely normal if we take a lot of samples.

3 0
3 years ago
What is the area of the largest rectangle with lower base on the x-axis and upper vertices on the curve y = 12 - x2? (4 points)
wolverine [178]

Answer: 16 square units

Step-by-step explanation:

let the vertex in quadrant I be (x,y)  

then the vertex in quadratnt II is (-x,y)  

base of the rectangle = 2x  

height of the rectangle = y  

Area = xy  

= x(12 - x²)  

= -x³ + 12x  

d(area)/dx = 3x² - 12 = 0 for a maximum of area  

3x² = 12  

x² = 4  

x = ±2  

y = 12-4 = 8

So, the largest area = 2 x 8 = 16 square units

7 0
3 years ago
Other questions:
  • Please help me 2nd and third question
    12·1 answer
  • Which best describes the construction of a triangle if given the segment lengths of 10 cm, 5 cm, and 4 cm?
    8·2 answers
  • How do I end my 7 day free trial? I can’t figure it out and I don’t wanna pay lol.
    6·2 answers
  • PLEASE HELP!
    8·2 answers
  • 36x - 63 = k(4x - 7)
    5·1 answer
  • 60 points Math<br> Question 2 of 10<br> Select the two values of x that are roots of this equation.
    7·2 answers
  • . Suppose lines
    13·1 answer
  • In a survey, 27% of students chose salads over a meat dish. In all, 81 people chose salads, how many people were in the survey?
    12·1 answer
  • 1/2 x 1/7? Pls help me!!!!
    11·2 answers
  • Easy! 40 PTS!!! Log Functions
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!