Find the equation of the line that contains the point (-4, -4) and is perpendicular to the line 4x+5y=5

Step-by-step explanation:

Given: A point  which is perpendicular to the line .

To find: The equation of the line which passes through and is perpendicular to the line .

Solution:

We have, .

Slope of the line is .

The line which passes through is perpendicular to the line .

Now, the product of the slopes of two perpendicular lines is .

Therefore,

So, its slope is .

Now, the equation of the line which passes through and slope is:

Hence, the equation of the line that contains the point and is perpendicular to the line is .

the dimensions are:

step-by-step explanation:

we want to find the dimensions of a rectangular box with volume of

we factor to obtain;

we rewrite the rightmost factor to obtain;

recall that:

we apply difference of two squares formula to obtain;

hence the dimensions are