Answer:
(x - 11)² + y² = 25
Step-by-step explanation:
First find the center
O = ( (15 +7 / 2), (-3 + 3)/2 )
O = (11, 0)
Then find the radius squared
use the distance formula from the center to either end point of the diameter
r² = (15 - 11)² + (-3 - 0)²
r² = 16 + 9
r² = 25
Formula for circle
(x - h)² + (y - k)² = r²
(h, k) is the center = (11, 0)
The equation is
(x - 11)² + y² = 25
Answer:
2,6,18,54
How I got this answer:
Each term after the first is found by multiplying by a fixed, non-zero number called a common ratio.
step by step:
2×3=6
6×3=18
18×3=54
The common ratio is 3.
Answer:
x>=5
Step-by-step explanation:
If x is less than five, then there will be a negative in the square root, which will yield x an imaginary number.
Answer: Santa's speed in still air is 6 miles per minute
Speed of the wind is 1 mile per minute
Step-by-step explanation:
Let x represent the speed of Santa in still air. It is assumed that in still air. She is flying with the wind. If the speed of the wind is y, then him total speed is x + y
It takes Santa 5 minutes to fly 35 miles with the wind.
Speed = distance / time
It means that
x + y = 35/5 = 7
It takes him 7 minutes to fly 35 miles against the wind. This means that his total speed will be x - y
Speed = distance/time. Therefore,
x - y = 35 /5 = 5 - - - - - - 1
Substituting x = 7 - y into equation 1, it becomes
7 - y - y = 5
-2y = 5 - 7 = -2
y = -2/-2 = 1
x = 7 - y = 7 - 1
x = 6
You can do substitution 2x-2=x^2 -x -6; isolate all terms on one side 0= x^2 -x-2x -6+2; combine like terms x^2 -3x -4=0; factor the quadratic (x-4)(x+1)=0; each term is zero x-4=0 so x=4 and x+1=0 so x=-1. Now, y=2•4-2=6 and y=2•(-1) -2= -4 ; solutions for the system are ( 4,6) and ( -1, -4)
