Write the equation of a line perpendicular to y =-1/ 8x that passes through point (-12, - 4) point slope form, thanks :)

Step-by-step explanation:

Perpendicular lines have opposite reciprocal slopes, meaning that if you had , the opposite would change the sign: , and the reciprocal would flip the fraction:

We can find the slope of the line perpendicular to the line by finding the opposite reciprocal of -1/3 (slope is the coefficient of x).

Now we have the slope of the line and a point that the line passes through. We are now able to use point-slope form.

Point-slope form:

Where are the coordinates of a point that the line passes through, and is the slope of the line.

Substitute (-12, -4) and m = 3 into the point-slope equation.

Distribute the negative sign inside the parentheses.

This is the equation of the line perpendicular to y = -1/3x - 8 and that passes through point (-12, -4) in point-slope form.

v = 1/3 a^2h

step-by-step explanation:

the volume is 1/3 a^2h.

the final amount you will pay is $68.04.

the tip is determined by the pre-tax amount, so we calculate the tip based on the original bill, not after we've added sales tax.

to find the tip:

we can divide 54.00 by 100 to get 1% of 54. then we multiply that by 18.

54 / 100 = .54

.54 x 18 = 9.72

tip = 9.72$

to find the tax:

we can divide 54.00 by 100 to get 1% of 54. then we can multiply that by 8 to get 8%.

54 / 100 = .54

.54 x 8 = 4.32

tax= 4.32

now we can add the tip and tax to the bill to get our total.

54 + 9.72 + 4.32 = 68.04

total: $68.04

step-by-step explanation: