If you wanted to safely climb a 50-foot wall, what’s the shortest ladder you’d be willing to use? Explain.

51.54 ft

Step-by-step explanation:

The ladder should be 1 feet away from the wall by each 4-feet that the wall rises, so if we have a 50 ft wall, the distance between the bottom of the ladder and the wall must be:

50ft/4 = 12.5ft.

Now we know the cathetus of our ladder, 12.5ft and 50ft, let's find the hypotenuse, that is:

H = √(12.5^2 + 50^2) = 51.54 feet.

Which is also the lenght of our ladder, so the shortest ladder to climb safely a 50 ft wall is 51.54 ft long.

The equation of line in slop-intercept form is given by:

Step-by-step explanation:

Given equation of line:

To find the equation of line parallel to the line of the given equation and passes through point (-3,1).

Applying slope relationship between perpendicular lines.

where and are slopes of parallel lines.

For the given equation in the form the slope can be found by comparing with standard form.

∴

Thus slope of line parallel to this line would be given as:

∴

The line passes through point (-3,1)

Using point slope form:

Where and

So,

Using distribution.

Adding 1 to both sides.

Thus the equation of line in slop-intercept form is given by: