y = mx + b
m = slope and b = y-intercept
We can arrange 6y = x - 12 in the form of y = mx + b
6y = x - 12
y = 1/6(x) - 2
Slope of y = 1/6(x) - 2 is 1/6. Taking the negative reciprocal of the slope we get the slope for the perpendicular line.
Negative reciprocal of 1/6 is -6.
The equation for the perpendicular line is
y = -6x + b
To find b we can plug in the x and y values of (4,-4) into it since it passes through those coordinates
-4 = -6(4) + b
b = -4 + 6(4)
b = -4 + 24
b = 20
So the equation for the perpendicular line is y = -6x + 20
Answer:
x = 57/5 = 11.400
Step-by-step explanation:
Step 1 :
Solving a Single Variable Equation :
1.1 Solve : 5x-57 = 0
Add 57 to both sides of the equation :
5x = 57
Divide both sides of the equation by 5:
x = 57/5 = 11.400
One solution was found :
x = 57/5 = 11.400
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Answer:
Step-by-step explanation:
x²+24x+60=0
x²+24x+(24/2)²=-60+(24/2)²
(x+12)²=-60+144
(x+12)²=84
The last two are the answers