
Here's the solution ~
As we know, we can calculate the circumference of a circle in terms of its diameter as :

where, c = circumference and d = diameter
And also, circumference of circle is terms of radius (r) is :

Now, let's move on to questions ~
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The coordinates of point Q that is 2/3 of the way along the directed segment from R(-7,-2) to S(2,4) is 
Explanation :
the coordinates of point Q that is 2/3 of the way along the directed segment from R(-7,-2) to S(2,4)
Apply section formula to find coordinates of point Q

Ratio m:n is 2:3 and point R is (x1,y1) , point S is (x2,y2)
Substitute all the values inside the formula

The coordinates of point Q is 
Learn more : brainly.com/question/13878373
Answer:
(f-v)/a = t
Step-by-step explanation:
f = v + at
Subtract v from each side
f-v = v-v + at
f-v = at
Divide each side by a
(f-v)/a = at/a
(f-v)/a = t
Answer:
Step-by-step explanation:
y=(x+5)2−1
Use the vertex form,
y=a(x−h)2+k, to determine the values of a, h, and .a=1h=−5k=−1Find the vertex(h,k(−5,−1)
Answer:
216 cookies
Step-by-step explanation:
From the question,
Let the total cookies in the first place be x cookies.
Their ratio = 5:12:9
Total = 5+12+9 = 26.
Weiming share = (5/26)x = 5x/26
If weiming sold 28 cookies
⇒ (5x/26)-28
⇒ (5x-728)/28
Hence Weiming new share = (5x-728)/28 cookies
The new ratio is 1:8:6
The total cookies becomes = x-28
Therefore,
(1/15)(x-28) = (5x-728)/28
(x-28)/15 = (5x-728)/28
Crossmultiply
28(x-28) = 15(5x-728)
28x-784 = 75x-10920
Collect like terms
28x-75x = -10920+784
-47x = -10136
x = -10136/-47
x = 215.7
x ≈ 216 cookies