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
Answer:I'm pretty sure it's A
Step-by-step explanation:
The correct answer is C. This is because
10^-2 = 1/10^2 which is 0.01
It is the fourth round and this is because in round one Katie has 200 and Jenny will have 300.In round two katie will have 400 and Jennifer will have 500.In round 3 Katie will have 600 and and jennifer will have 800.I
1 = 4
a2 = -2(a1) - 1
a2 = -2(4) - 1
a2 = -9
a3 = -2(a2) - 1
a3 = -2(9) - 1
a3 = -19
Can you do a4 and a5 and answer?
