<h3>Answer: 10</h3>
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Work Shown:
First add up all the ages
9+13+9+10+10+9+10+10+11+9 = 100
Then divide that sum by 10, since there are 10 values we added up
100/10 = 10
The average age is 10 years old.
Answer:
29
Step-by-step explanation:
57 + 94= 151
so 180 - 151 = 29
hope this helps
The equation of a circle is:
(x-h)^2+(y-k)^2=r^2, where (h,k) is the center and r is the radius
So the first thing we can do is to find the center of the circle, which will be at the midpoint of the two endpoints of the diameter. The midpoint is simply the average of the coordinates of the endpoints.
mp=((-1+3)/2, (-4+2)/2)
mp=(1, -1), and this midpoint is the center of the circle our (h,k) for the circle equation.
Now we must find the length of the diameter so that we can know what our radius is. The distance between any two points is:
d^2=(x2-x1)^2+(y2-y1)^2 so
d^2=(-1-3)^2+(-4-2)^2
d^2=4^2+6^2
d^2=16+36
d^2=52
Note that this distance squared is our diameter squared.
Since d=2r
d^2=4r^2
r^2=d^2/4, we showed that d^2=52 so
r^2=52/4
r^2=13 (r=√13, but we need r^2 for our equation anyway)
So now we can fill out our circle equation because we know the center is at (1,-1) are r^2=13
(x-1)^2+(y+1)^2=13
Y=22-6x is the slope-intercept form of this equation
