Answer:

Step-by-step explanation:
Slope formula

Here

Slope can be calculated as


You can set this up as 5(3+4)....then, distribute by multiplying the terms in parentheses by 5. This gives you 15+20, which equals 35.
The equation of line perpendicular to 4y = x-8 passing through (3,-3) is:

Step-by-step explanation:
Given equation of line is:

We have to convert the given line in slope-intercept form to find the slope of the line
So,
Dividing both sides by 4

Let m1 be the slope of given line
Then

Let m2 be the slope of line perpendicular to given line
As we know that produt of slopes of two perpendicular lines is -1

The slope intercept form of line is given by:

Putting the value of slope

to find the value of b, putting (3,-3) in equation

Putting the value of b in the equation

Hence,
The equation of line perpendicular to 4y = x-8 passing through (3,-3) is:

Keywords: Equation of line, slope
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Answer:
3.root 15 feet
Step-by-step explanation:
To solve this problem, we will use Pythagorean’s theorem. Now let’s visualize a right angled triangle in which the hypotenuse stands for the total ladder length and the base of the ladder standing away from the wall is say the adjacent.
The length of the ladder is the opposite which is the last side of the complete triangle.
Hence, to find this side we use s^2 = 12^2 - 3^2
S^2 = 144 -9
S^2 = 135
S= square root of 135 = 3.root15 feet