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
F(-2)= -12
Explanation: 2(-2) = -4
-4 - 8 = -12
Answer:
3g^2 (2g^6-g^2+3) the ^ symbole is means to the power
Step-by-step explanation:
Hello There!
The volume for a cylinder is Pi*r^2*h
We are going to leave our Answer in terms of pi so first we need to square our radius which we know is 5
Our radius is 25 because we squared 5. Next, we need to multiply 25 by our height which is 11.
25 multiplied by 11 is 275 so our Answer would be 275
Answer:
slope:4
y-intercept:-2
Step-by-step explanation:
y=mx+b
m=slope
b=y-intercept
