The answer typically would be a 2/6 or 1/3 but if we have to go off these results then:
The dice was rolled 40 times and it was rolled 2 & 4 a total of 14 times.
In this case we have to divide 14 by 40 to get a decimal in wich we can convert to a percentage which is .35 which converts to 35%.
Close to the expected 33% but based off these results 35% would be the correct answer if we were breaking it down.
For you 14/40= 7/20 if you are looking just for a fraction in simplest form.
<h3>
Answer: Choice A. (-2,0)</h3>
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Work Shown:
The center is (h,k) = (3,2) and the radius is r = 5
The standard circle equation (x-h)^2 + (y-k)^2 = r^2 turns into (x-3)^2+(y-2)^2 = 5^2 or (x-3)^2+(y-2)^2 = 25
The idea is to plug in each (x,y) point that is shown in the answer choices. Then simplify to see if you get a true equation or not. If you get a true equation, then that point is on the circle.
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Choice A
Plug in (x,y) = (-2,0)
(x-3)^2+(y-2)^2 = 25
(-2-3)^2+(0-2)^2 = 25
(-5)^2 + (-2)^2 = 25
25 + 4 = 25
29 = 25
We get a false equation, so we can stop here since we found the answer.
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I'll try out choice B to see if we get a true equation here or not.
(x-3)^2+(y-2)^2 = 25
(6-3)^2+(-2-2)^2 = 25 ... plug in (x,y) = (6,-2)
(3)^2 + (-4)^2 = 25
9 + 16 = 25
25 = 25
We get a true equation, so the point (6,-2) is on the circle. This means we can rule out choice B.
I'll let you try out the other two points. They should be on the circle, so you should get true equations after plugging in the coordinates. If you're still stuck, then let me know.
Answer:
The midpoint is 0,5/8
Step-by-step explanation:
The formula for midpoint is (x1+x2)/2 , (y1+y2)/2
(0+0)/2 , (1/2 + 3/4) /2
Lets get a common denominator of 4
1/2 *2/2 + 3/4 = 2/4 + 3/4 = 5/4
5/4 ÷ 2
Copy dot flip
5/4 * 1/2
5/8
The midpoint is 0,5/8