a*****g
发帖数: 1320 | 1 1) What is the units digit of N in the following equation?
（3x3x3x3x3）/N =1/2 X 1/3 X 1/3
2) A rectangle with sides of length 5 units and 6 units that are parallel to
the x-axis and y-axis has one vertex at (1,3). What is the largest possible
sum of the coordinates of any of the other vertices of this rectangle? | B******1
发帖数: 9094 | 2 (2) 1+3+5+6 = 15
For (1), you'd better upload a jpg picture of the question for clarity. | a*****g
发帖数: 1320 | 3 谢谢。我把题目重新编辑了一下，希望这次好点。苯妈再次请教第二题究竟是什么意思
？
【在 B******1 的大作中提到】
: (2) 1+3+5+6 = 15
: For (1), you'd better upload a jpg picture of the question for clarity.
| B******1
发帖数: 9094 | 4 1) What is the units digit of N in the following equation?
（3x3x3x3x3）/N =1/2 X 1/3 X 1/3
N = 2 x (3^7) = 2 x (9 x 9 x 9 x3)
If you only count the units digit, then
N = 2 x (1 x 7) = 4 ( 9 x 9 = 81; 9 x 3 = 27; 2 x 7 = 14)
So the units digit of N is 4 | B******1
发帖数: 9094 | 5 2) A rectangle with sides of length 5 units and 6 units that are parallel to
the x-axis and y-axis has one vertex at (1,3). What is the largest possible
sum of the coordinates of any of the other vertices of this rectangle.
Basically this question tells you that one vertex of a rectangle is at (1,3)
and that the length and width of the rectangle is 6 and 5. In addition, the
rectangle's side are parallel to either the x-axis or the y-axis.
Therefore, only 8 possibilities exit if you draw them out. The answer to the
question of "largest possible sum of the coordinates" is 15 because there
are two possible vertice (6,9) and (7,8) that will fulfill the requirements
of the question. Either of these two vertices and the (1,3) vertex form a
diagonal for the rectangle. | a*****g
发帖数: 1320 | 6 非常非常地感谢。北大学子果真不是浪得虚名。
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【在 B******1 的大作中提到】
: 2) A rectangle with sides of length 5 units and 6 units that are parallel to
: the x-axis and y-axis has one vertex at (1,3). What is the largest possible
: sum of the coordinates of any of the other vertices of this rectangle.
: Basically this question tells you that one vertex of a rectangle is at (1,3)
: and that the length and width of the rectangle is 6 and 5. In addition, the
: rectangle's side are parallel to either the x-axis or the y-axis.
: Therefore, only 8 possibilities exit if you draw them out. The answer to the
: question of "largest possible sum of the coordinates" is 15 because there
: are two possible vertice (6,9) and (7,8) that will fulfill the requirements
: of the question. Either of these two vertices and the (1,3) vertex form a
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