Step-by-step explanation:
Total marbles = 9 + 4 + 3 + 2 = 18
Probability of both red marbles = 3 / 18 = 1/6
Standard equation of a circle: <em>(x-h)² + (y-k)² = r²</em> where <em>(h, k)</em> is the center and <em>r </em>is the radius. In the case of our equation here, <em>(x-5)² + (y+3)² = 25</em>, we can conclude that our circle has a center at (5, -3) and a radius of 5 units.
We can use the distance formula with the center (5, -3) and our point (2, 3) to see how far away they are...if the distance between them is less than the radius of the circle, it is on the interior. If it's equal, it's on the circle. If it's greater, it's on the exterior.
Distance =

Distance =

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Distance =

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Solve the equation for x by find the A , B , C of the quadratic then applying the quadratic formula
Answer:
I'm sorry, I don't know if I know this but you should try Desmos if you haven't already. It's great for helping with slopes and stuff like this
Answer:
1256 cubic feet
Step-by-step explanation:
Cylinder formula- Pi x Radius squared x The height = the volume
The radius in this problem is 5, 5 squared is 25. 25 x 16= 400. And 400 x 3.14= 1256 cubic inches.