Answer:
m = - 5/4
Step-by-step explanation:
If two lines are perpendicular, their slopes are negative reciprocals, which means that their product is -1
We can write the equation
4*x - 5*y + 13 = 0
as: 5*y = 4*x + 13 or
y = (4/5)*x + 13 (1)
Equation (1) is the equation of a straight line in its slope point form, 4/5 is the slope, according to this the slope of a perpendicular line is
-5/4
Answer:
8 one-dollar bills
3 five-dollar bills
2 ten-dollar bills
Step-by-step explanation:
Let x = # of one-dollar bills, y = # of five-dollar bills, and z = # of ten-dollar bills. Total amount in the wallet is $43, so the first equation would be 1x + 5y + 10z = 43. Next, there are 4 times as many one-dollar bills as ten-dollar bills, so x = 4z. There are 13 bills in total, so x + y + z = 13
x + 5y + 10z = 43
x = 4z
x + y + z = 13
x + 5y + 10z = 43
x + 0y - 4z = 0
x + y + z = 13
5y + 14z = 43
-y - 5z = -13
5y + 14z = 43
-5y - 25z = -65
-11z = -22
z = 2
x = 4z
x = 4*2 = 8
x + y + z = 13
8 + y + 2 = 13
10 + y = 13
y = 3
Answer:
x = 10
Step-by-step explanation:
For the lines to be parallel, the two angles must have the same measure:
80 - x = 90 - 2x
x = 10 . . . . . . . . . add 2x-80
The value of x must be 10 to make the lines parallel.
Answer:
12
+ 6y
Step-by-step explanation:
