somestudentx somestudentx
  • 24-05-2022
  • Mathematics
contestada

Consider the equation of the circle.
x^2 − 14x + y^2 = 15
What is the length of the radius of the circle defined by the given equation?

Respuesta :

profarouk profarouk
  • 24-05-2022

Answer:

radius = 8

Step-by-step explanation:

NOTE ================================

EQUATION OF A CIRCLE with center (a , b) and radius r :

(x - a)² + (y-b)² = r²

……………………………………………

x² − 14x + y² = 15

⇔ x² − 2×7x + 7² − 7² + y² = 15

⇔ x² − 2×7x + 49 − 49 + y² = 15

⇔ (x - 7)² − 49 + y² = 15

⇔ (x - 7)² + y² = 15 + 49

⇔ (x - 7)² + y² = 64

⇔ (x - 7)² + y² = 8²

Then radius of the circle is 8.

Answer Link

Otras preguntas

If dogs are chasing you how do you get that extra energy to run? PLEASE EXPLAIN IN UR OWN WORDS AS MUCH AS POSSIBLE.
(4 x 107) x (1 × 105)
If f(x) = 2x - 4 and g(x)= -5x + 6, then what is f(g(x))?
If segment AB measures 2 cm, how long is A'B? Explain.
5- If you were a more ____person, you would not have left me waiting for you in the rain for an hour. a) politeb) considerate c) kind d) humorous​
1 1/6 times 9 and simplified to a whole number or fraction
ohk534fjnojufcbhbbm,mbtadfgbnm,
Lin says I took the number 8, and then multiplied it by the Square of 3.
Find the product of 2/2 and 4/18 in simplest form. Also, determine whether the result is rational or irrational and explain your answer.
Do lobbyist exert influence among all three branches of government? Why or why not?