Perpendicular = opposite sign and reciprocal slope
Make equation into y = mx + b
Add 3y to both sides
3y + 54 = 3x
Subtract 54
3y = 3x - 54
Divide by 3
y = x - 18
The slope is 1
Make it negative and reciprocal
= -1/1 = -1
Solution: the slope will be -1
600 + 300 + 150 + . . . is a geometric sequence with a = 600 and r = 1/2
Sn = a(1 - r^n)/(1 - r)
S5 = 600(1 - (1/2)^5)/(1 - 1/2) = 600(1 - 1/32)/(1/2) = 1,200(31/32) = 1,162.5
let the number be x.
a number decreased means
x-
and the sum of the number and 4 is
x+4
to put the expression together, we get. put them in parentheses
x - ( x+4 )
= x - x -4
= - 4
I think that may be a trick question because all the the numbers can be on the number line