Answer: (x + 6)² + (y + 5)² = 17
Explanation:
1) The equation of a circle is: (x - a)² + (y - b)² = r², wnere:
a is the x-coordinate of the center of the circleb is the y-coordinate of the center of the circler is the radius of the circle
2) Since the points (-7,-1) and (-5,9) define a diameter, you can find the center of the circle as the mid point of the diameter:
x-coordinate of the mid point = (-7 - 5) / 2 = - 12 / 2 = - 6
y-coordinate of the mid point = (-9 - 1)/ 2 = - 10 / 2 = - 5
Therefore, the center of the circle is (-6,-5)
3) The radius of the center is half the diameter.
The length of the diameter is found using the formula for the distance between two points applied to the two endopoints given:
diameter² = (7 - 5)² + (- 1 + 9)² = 2² + 8² = 4 + 64 = 68
⇒diameter = √68 = 2√17
⇒ radius = diamter / 2 = 2√17 / 2 = √17
4) Now you can replace the coordinates of the center and the radius into the equation:
(x + 6)² + (y + 5)² = 17
I hope this helps you
A) 0 natural number
B) 4 square root of 4=4.2=8 whole number
C) 4 whole number
D) square root of 3 irrational number
Answer:
2.54. Calculate the approximate value:2.6 *
Step-by-step explanation:
Answer:33.415 through 33.585 Or A
Step-by-step explanation:
You simply take 33.5 and add .085 to 33.5 get your answer.then subtract .085 from 33.5
___-1=10-3
x-1=10-3
x-1=7
x=8
therefore the blank is 8
