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Answer:
As per the statement;
The moon takes 28 days to orbit around the earth going at a distance of 2,413,000 km
From the above information,
The ratio between Distance and Days is;
then,
the distance it takes for the moon to travel one day of its orbit around the earth we have;
km.
Therefore, the distance in kilometer does the moon cover in 1 day is 86178.57 km
Answer:
x = 3/2
Step-by-step explanation:
That is quite long and drawn out, so we have to get it down to a single quadratic equation, set equal to 0.
Begin by expanding the right side to get
then multiplying in the -3 to get
Now we will combine all the like terms and get everything on one side of the equals sign, and set it equal to 0:
In order to find the equation of the axis of symmetry we have to put it into vertex form, which is accomplished by completing the square on this quadratic.
In order to complete the square, the leading coefficient has to be a +1. Ours is a -3, so we will factor that out. First, though, now that it is set to equal 0, we will move the constant, -2, over to the other side, isolating the x terms.
Now we can factor out the -3:
The rules for completing the square are as follows:
Take half the linear term, square it, and add it to both sides. Our linear term is 3. Half of 3 is 3/2, and squaring that gives you 9/4. We add into the parenthesis on the left a 9/4, but don't forget about that -3 hanging around out front that refuses to be ignored. We didn't add in just a 9/4, we added in (-3)(9/4) = -27/4:
In the process of completing the square we created a perfect square binomial on the left. Stating that binomial and simplifying the addition on the right gives us:
We can determine the axis of symmetry at this point. Because this is a positive x-squared polynomial, the axis of symmetry is in the form of (x = ) and what it equals is the h coordinate of the vertex. Our h coordinate is 3/2; therefore, the axis of symmetry has the equation x = 3/2
Answer: hello options related to your question is missing attached below is the missing option
answer :
4/9 ≤ r < 1/2 ----- ( c )
Step-by-step explanation:
Given that G denotes the centroid of triangle ABC and points M, N are points found in the interiors of segments AB,AC
also Given that r denotes ratio of triangles AMN to triangle ABC
attached below is a detailed solution
