Answer:
(x-7)^2 + (y-2) ^2 = 130
Step-by-step explanation:
We need to find the length of the radius
the length of the radius is found by using the distance formula
r = sqrt( ( -2-7)^2+( -5 -2)^2)
sqrt( ( -9)^2+( -7)^2)
sqrt( 81+49)
sqrt(130)
The formula for a circle is
(x-h)^2 + (y-h) ^2 = r^2
where (h,k) is the center and r is the radius
(x-7)^2 + (y-2) ^2 = 130
I forgot how to do those lol
Slope: Take two points from the graph, and do y-y, over x-x.
for ex. (1,2) and (2,4) do 4-2 over 2-1. your slope is 2/1= 2
y-intercept: find the one point on the graph that is exactly on the y-axis.
for ex. (4,0)= your y-intercept is 4
9514 1404 393
Answer:
- kayak: 12 mph
- current: 2 mph
Step-by-step explanation:
Bunny's rate downstream is ...
(70 mi)/(5 h) = 14 mi/h = k + c
Bunny's rate upstream is ...
(70 mi)/(7 h) = 10 mi/h = k -c
The kayak speed is the average of these:
(14 mi/h +10 mi/h)/2 = ((k +c) +(k -c))/2
(24 mi/h)/2 = 2k/2
12 mi/h = k
Then the current speed is ...
c = k -10 = 12 -10 = 2 . . . . mi/h
The still-water speed of the kayak is 12 mi/h; the speed of the current is 2 mi/h.
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<em>Additional comment</em>
World-class kayak paddlers will not maintain a speed more than 8 mi/h for that distance and/or time (140 miles in 12 hours). Bunny is exceptional.
