Answer:
y = 3x - 16
Step-by-step explanation:
We are asked to find the equation of the line perpendicular to 2x + 6y = 30
We can use two formulas for this question, either
y = mx + c. Or
y - y_1 = m(x - x_1)
Step 1: calculate the slope
From the equation given
2x + 6y = 30
Make y the subject of the formula
6y = 30 - 2x
Or
6y = -2x + 30
Divide both sides by 6, to get y
6y/6 = ( -2x + 30)/6
y = (-2x + 30)/6
Separate them in order to get the slope
y = -2x/6 + 30/6
y = -1x/3 + 5
y = -x/3 + 5
Slope = -1/3
Step 2:
Note: if two lines are perpendicular to the other, both are negative reciprocal of each other
Perpendicular slope = 3/1
Substitute the slope into the equation
y = mx + c
y = 3x + c
Step 3: substitute the point into the equation
( 6,2)
x = 6
y = 2
2 = 3(6) + c
2 = 18 + c
Make the c the subject
2 - 18 =c
c = 2 - 18
c = -16
Step 4: sub the value of c into the equation
y = 3x + c
y = 3x - 16
The equation of the line is
y = 3x - 16
If you try out the other formula, u will get the same answer
Answer:
D- HM
Step-by-step explanation:
A ray has one point and one side that goes on forever. We see this expressed with HM
HK is a line
HM is a ray
Answer:
This is a linear function.
Step-by-step explanation:
A linear function is a straight line. Once you graph the equation, you get a staright line, therefore, it's linear.
You should mulitply. $23.78 * 0.20 = 4.756
Then you add. 4.756 to $23.78 = $28.536
Now you round $28.536 to the hundredths so that you can pay it with coins.
The anwser is $4.76 and the total amount for the taxi ride would be $28.54
I don't understand three or two book bags but if it's 2 bookbags then 8.50 if it's 3 bookbags then 5.66 each
