Answer:
y = - 3x + 6
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange x - 3y = 5 into this form
Subtract x from both sides
- 3y = - x + 5 ( divide all terms by - 3 )
y = 
x - 
← in slope- intercept form
with slope m =
Given a line with slope m then the slope of a line perpendicular to it is
= - 
= - 
= - 3
Note the line crosses the y- axis at (0, 6) ⇒ c = 6
y = - 3x + 6 ← equation of perpendicular line
Answer:
3+d=q and 0.10d+0.25q=1.80
There are 3 dimes and 6 quarters.
Step-by-step explanation:
This situation has two unknowns - the total number of dimes and the total number of quarters. Because we have two unknowns, we will write a system of equations with two equations using the two unknowns.
We know there are three more quarters than dimes. We write that as 3+d=q.
We also know the total cost and the value of each coin. We write 0.10d+0.25q=1.80.
We substitute 3+d for q in the second equation.
0.10d+0.25(3+d)=1.80
0.10d+0.75+0.25d=1.80
0.35d+0.75=1.80
We isolate the variable by subtracting 0.75 across the equal sign and then dividing by the coefficient of d.
0.35d=1.05
d=3
There are 3 dimes.
Answer:
Step-by-step explanation:
The interior is a parallelogram when adjacent angles are supplementary. This requires ...
(x -30)° + (x +50)° = 180°
2x + 20 = 180 . . . . . . . . . . . collect terms, divide by °
2x = 160 . . . . . . . . . . . . . . . subtract 20
x = 80 . . . . . . . . . . . . . . . . . divide by 2
Then the angle x+50 is ...
(x +50)° = (80 +50)° = 130°
This is also the measure of the angle marked y.
For the lines to be parallel, x = 80, y = 130°.
Answer:
9999999999 9X GREATER THAN OR EQUAL TO 33333333333333
Step-by-step explanation:
