Brian borrowed a 20 foot extension ladder to use when he paints his house. if he sets the base of the ladder 6 feet from the house, as shown below, how far up will the top of the ladder reach? round to one decimal place.

19.1 feet.

Step-by-step explanation:

Draw a right triangle as the one shown attached, where "x"  is the height in feet that the top of the ladder will reach.

You need to use the Pythagorean Theorem:

Where "a" is the hypotenuse and "b" and "c" are the legs of the right triangle.

If you solve for one of the legs, you get:

In this case, you can identify that:

Then, you can substitute values into the equation :

Finally, you must evaluate in  order to find the value of "x".

Through this procedure, you get the following result:

vertical asymptote .

horizontal asymptote .

step-by-step explanation:

given function is .

vertical asymptote is given by setting

denominator =0

when degree of numerator and denominator are same then divide first term of numerator by first term of denominator to get horizontal asymptote.

b) yes

step-by-step explanation:

let the statements be named as,

statement 1: if the power has been cut, then the refrigerator does not work.

statement 2: the refrigerator does not work.

conclusion: the power has been cut

now, 'law of detachment states that if we have the statements given as,

1. if p, then q.

2. p

then, we get the true statement or conclusion as q'.

thus, on comparing, we get that,

p: if the power has been cut.

q: the refrigerator does not work.

so, the argument is true by the law of detachment.