5 (0) + 2y = 4
2y = 4
Y = 2
Answer:
The correct option is:
A) L'' (-4 , -4) , M'' (-1 , -4) , N'' ( -1 , 0) , O'' (-4 , 0)
Step-by-step explanation:
The following are the vertices of a rectangle LMNO
L (-4 , 6)
M (-1 , 6)
N (-1 , 2)
O (-4 , 2)
First we have to reflect it across x-axis
When we reflect a shape across x-axis, the x components of the points remain the same while y components change their signs. After reflection:
L' (-4 , -6)
M' (-1 , -6)
N' ( -1 , -2)
O' (-4 , -2)
After we translate it up by two units, we add +2 to y components of each reflected point.
L'' (-4 , -4)
M'' (-1 , -4)
N'' ( -1 , 0)
O'' (-4 , 0)
Hence, the correct option is A
<span>Let the original number of seats in a row be x;
</span>Let the number rows be y;
( x + 3) * (y - 2 )= 72 and x * y = 72 => 72 + 3 * y - 2 * x = 72 => 3 * y = 2 * x;
=> x is divisible by 3;
1. x = 3 => y = 72 / 3 => y = 24;
2. x = 6 => y = 72 / 6 => y = 12;
3. x = 9 => y = 72 / 9 => y = 8;
4. x = 12 => y = 72 / 12 =. y = 6;
5. x = 24 =. y = 72 / 24 => y = 3;
6. x = 36 => y = 72 / 36 => y = 2;
7. x = 72 => y = 72 / 72 => y = 1;
My analysis tell me that the right answer is 9 seats in a row and 8 rows;
The original number in each row is 9.