Answer: The equation is 
Center = (-4,4)
Radius = 3
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Explanation:
This graph shows the circle's center is at (-4, 4)
Recall in general, the center is (h,k)
So we see that (h,k) = (-4,4). More specifically: h = -4 and k = 4.
The radius of this circle is r = 3 as this is the distance from the center to any point on the edge. For example, go from (-4,4) to (-1,4).
With the h, k and r values in mind, we then say the following:
which represents the equation of this circle.
Answer:
m= 4.5 miles
Step-by-step explanation:
Let the number of miles Evelyn can run be m and can be modeled by the equation below
m= kx
Where x Is the Minutes
When m= 3
x= 40
3= k40
k= 3/40
If x= 60
m=3/40(60)
m = (60*3)/40
m= 180/40
m= 4.5 miles
Answer:
The 6 in 4,786.53, is 6 times greater than the 6 in 3,821.69.
Step-by-step explanation:
The value of 6 in 4,786.53, is in the ones. 6
The value of 6 in 3,821.69, is in the tenths. 0.6
6/0.6 = 10
The 6 in 4,786.53, is 6 times greater than the 6 in 3,821.69.
Hope that helps!
Something funny is that the x value of the vertex lies directl in the middle of the x intercepts
so
we see the x intercepts or 0's at x=8 and 2
the average is x=5
so find f(5) to find the y value of the vertex
f(5)=(5-8)(5-2)
f(5)=(-3)(3)
f(5)=-9
vertex is at (5,-9)
the actual way the teacher wants is to expand then compltete the square to get into the form f(x)=a(x-h)^2+k where the vertex is (h,k)
but whatever
verrtex is at (5,-9)
Answer:
6.93 cm
Step-by-step explanation:
You have a right triangle (90°), so you do as follow:
If I understand correctly, you are looking for the hypotenuse so
That is equal to 
