jovenhouseholder jovenhouseholder
  • 24-12-2018
  • Mathematics
contestada

Which of the following is the equation of a circle whose center is at the origin and whose diameter has end (-1,2) and (1,-2)

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 24-12-2018

Answer:

x² + y² = 5

Step-by-step explanation:

The circle with center (h, k) and radius r has equation ...

... (x -h)² + (y -k)² = r²

You can find r² using the Pythagorean theorem or the distance formula, or you can simply calculate what it needs to be to make one or the other of the points lie on the circle.

For (h, k) = (0, 0), the equation is ...

... (x -0)² + (y -0)² = r²

Using (-1, 2) for (x, y), we can find r² as ...

... (-1 -0)² + (2 -0)² = r² = 1 + 4 = 5

Then the circle equation is ...

... x² + y² = 5

Answer Link

Otras preguntas

which best states the main idea of the passage
What is the value of the indicated angle 127 37 180 53
The diameter of the small wheel was 7 inches. The circumference was about 22 inches. Write the ratio of the circumference to the diameter of the circle as a dec
What is the measure of ∠A ?
Graphing Polynomial Functions
help plsss 50 points
12 apples and 8 guavas total cost is 76 pesos. 8 apples and 12 guavas cost 64 pesos. What is the cost of each apple and guava?
Lucia is responsible for establishing a confidential service that employees can use to question if a practice is unethical and she also makes sure the company c
Ms. Stanford is picking up her asthma inhaler, oral contraceptive, over-the-counter acetaminophen, and vitamin C. According to federal law, which of her medica
6(12)(3)=1/3(12)(16)x. Please help, need to check my answer. Thanks