Answer:
A rectangle on a coordinate plane is translated 5 units up and 3 units to the left.
3) O(x,y)=(x-3,y+5)
Joshua's rule was to add 2/6 or 1/4 (same thing) to the previous number. The missing number in Joshua's sequence is 1 1/6.
let each of the numbers be x :
I'll assume the above equation is: 9 - 7x = 7 - 4(2x+3)
* do distributive multiplication
9 - 7x = 7 - 8x - 12
*move like terms
-7x + 8x = 7 - 12 - 9
* solve for x
x = 7 - 21
x = -14
To check, substitute x by its value -14
9 - 7x = 7 - 4(2x+3)
9 - 7(-14) = 7 -4[2(-14) + 3]
9 + 98 = 7 - 4(-28 +3)
107 = 7 - 4(-25)
107 = 7 + 100
107 = 107
