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Answer:
The answer to your question are letters A, C and D.
Step-by-step explanation:
To factor this polynomial we need to look for the common factor of the three terms.
To find it, get the greatest common factor
140 28 14 2
70 14 7 2
35 7 7 5
7 7 7 7
1 1 1
Greatest common factor = 2 x 7 = 14
Factor the polynomial
140c + 28 - 14a = 14 ( 10c + 2 - a)
Factor only 7 7(20c + 4 - 2a)
Factor only 2 2 (70c + 14 - 7a)
9514 1404 393
Answer:
(c) (3, 3)
Step-by-step explanation:
Point E partitions both the x-distance and the y-distance in the ratio 2 : 1. That is, for either the x-coordinates or the y-coordinates, ...
CE : ED = 2 : 1
Try the answers with the x-coordinates.
CE : ED = (1 -(-1)) : (5 - 1) = 2 : 4 . . . . incorrect
CE : ED = (-3 -(-1)) : (5 -(-3)) = -2 : 8 . . . . incorrect
CE : ED = (3 -(-1)) : (5 -3) = 4 : 2 = 2 : 1 . . . . correct
CE : ED = (-1 -(-1)) : (5 -(-1)) = 0 : 6 . . . . incorrect
The only viable choice is (3, 3).
_____
<em>Alternate solution</em>
For a partitioning of m : n, the desired point is ...
E = (n×C +m×D)/(m+n)
For partitioning of 2 : 1, the desired point is ...
E = (1×(-1, -3) + 2×(5, 6))/(2+1) = (-1+10, -3 +12)/3
E = (3, 3)
5280 feet in a mile
3.25 x 5280 = 17160 feet