A) 6² and 7² , 36 and 49 not this one
B) 7²=49 and 8²=64 not this one
C) 8²=64 and 9²=81 , so 8 and 9, correct answer
No, it cannot be simplified.
Prime factors of 927:3*3*103
Prime factors of 100:2*2*5*5
No factors are in common, so this is the most simplified state.
Perhaps the easiest way to find the midpoint between two given points is to average their coordinates: add them up and divide by 2.
A) The midpoint C' of AB is
.. (A +B)/2 = ((0, 0) +(m, n))/2 = ((0 +m)/2, (0 +n)/2) = (m/2, n/2) = C'
The midpoint B' is
.. (A +C)/2 = ((0, 0) +(p, 0))/2 = (p/2, 0) = B'
The midpoint A' is
.. (B +C)/2 = ((m, n) +(p, 0))/2 = ((m+p)/2, n/2) = A'
B) The slope of the line between (x1, y1) and (x2, y2) is given by
.. slope = (y2 -y1)/(x2 -x1)
Using the values for A and A', we have
.. slope = (n/2 -0)/((m+p)/2 -0) = n/(m+p)
C) We know the line goes through A = (0, 0), so we can write the point-slope form of the equation for AA' as
.. y -0 = (n/(m+p))*(x -0)
.. y = n*x/(m+p)
D) To show the point lies on the line, we can substitute its coordinates for x and y and see if we get something that looks true.
.. (x, y) = ((m+p)/3, n/3)
Putting these into our equation, we have
.. n/3 = n*((m+p)/3)/(m+p)
The expression on the right has factors of (m+p) that cancel*, so we end up with
.. n/3 = n/3 . . . . . . . true for any n
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* The only constraint is that (m+p) ≠ 0. Since m and p are both in the first quadrant, their sum must be non-zero and this constraint is satisfied.
The purpose of the exercise is to show that all three medians of a triangle intersect in a single point.
Answer:
0.52
Step-by-step explanation:
The computation of the percentage of the group in which none of the three sports watched is shown below:
= gymnastic percentage + baseball percentage + soccer percentage - gymnastic & baseball percentage - baseball & soccer percentage - gymnastic & soccer percentage + three sports percentage
= 0.28 + 0.29 + 0.19 - 0.14 - 0.12 - 0.18 + 0.08
= 0.48
Now the percentage is
= 1 - 0.48
= 0.52
Answer:
Ashely had 30 kisses! Muah!
Step-by-step explanation:
Ratio of Ashely to Keely is 5 : 2 and we know Keely had 12. Keely represents the 2 in this ratio, and how do we get from 2 to 12? We multiply by 6. We have to multiply by 6 on the other side too then. 5 times 6 is 30, so Ashely had 30 hershey kisses.
In real life, not in ratio form, Ashely had 30 kisses and Keely had 12.
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