How do you find and use the greatest common factor of two whole numbers
1 answer:
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<h3>Answer: (2, 2)</h3>
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Explanation:
The phrasing "translated along <4,6>" is another way of saying "shift 4 to the right, shift 6 up"
In general, "translated along <m,n>" is the same as writing . If m is positive, then we shift m units to the right. If m is negative, then we shift to the left. The same story happens with the n, but we focus on the y coordinate.
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With all that in mind, starting at F(-5,-9) and translating along <4,6> has us arrive at (-1, -3). Add 4 to the x coordinate and add 6 to the y coordinate.
We can say
Showing that (-5,-9) moves to (-1,-3)
This is after the first translation, but there's a second translation.
We'll apply the same idea, but different numbers this time
So (-1,-3) moves to (2,2)
Overall we have
- (-5,-9) move to (-1,-3) after the first translation
- (-1,-3) move to (2,2) after the second translation
Therefore, the original point ends up at (2,2) which is the final answer
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Extra info:
A nice shortcut is that the vectors <4,6> and <3,5> can be added to get <4+3,6+5> = <7,11>. So overall, we're shifting 7 units to the right and 11 units up when we combine the two translation vectors.
Given:
The number of seats in the first row is <em>a</em>₁ = 12.
The series of the increasing number of seats is 12, 14, 16......
The objective is to find the total number of seats in the first 12 rows.
Explanation:
The difference between the number of seats in each row can be calculated by the difference between the successive terms of the series.
The number of rows to be calculated is <em>n</em> = 12.
To find the number of seats:
The number of seats presents in the first 12 rows can be calculated as,
On plugging the obtained values in the above equation,
Hence, the total number of seats in the first 12 rows is 276.