The equation of the perpendicular line is 13y=27-x
Step-by-step explanation:
Writing the given equation to slope-intercept form.
y=− 1 3 x+6
The slope of this line is 13
The perpendicular slope is -1/13
Using the new slope and the given point into the slope-intercept form to find the y-intercept.
4=-1/13(2)+c
2=-1/13+c
c=27/13
y=-1/13x+27/13
So the equation of the perpendicular line is 13y=27-x
Answer:
x = 40
Step-by-step explanation:
1/2x - 18 = 2
1/2x = 2 + 18
1/2x = 20
x = 20 / 1/2
x = 20 * 2/1
x = 40
The balloon has a volume
dependent on its radius
:

Differentiating with respect to time
gives

If the volume is increasing at a rate of 10 cubic m/s, then at the moment the radius is 3 m, it is increasing at a rate of

The surface area of the balloon is

and differentiating gives

so that at the moment the radius is 3 m, its area is increasing at a rate of

Answer:
6 + √27 / 3
6+ (3√3/3)
6+√3
Step-by-step explanation:
I don’t think it would work it you solved for k instead of y. Because you’re solving for y when you do constant of proportionality. i’m not sure if i’m right or not but that’s what i think.