Help please. I need to simplify and graph!
I know theres going to be a vertical and slant asymptote.
show all steps please! thanks

Check out the attached image below. Use polynomial long division (see figure 1) or synthetic division (figure 2) to find that the quotient is x-8

This tells us the slant asymptote is y = x-8

The presence of the slant asymptote means we do not have a horizontal asymptote. As x gets larger and larger, and heads to infinity, then y approaches the line y = x-8; rather than y approaching some single fixed value.

The vertical asymptote is x = -4 because this x value makes the denominator x+4 equal to 0. We cannot divide by zero.

Figure 3 shows the graph, which I have done using GeoGebra (a free graphing tool). This is also attached below.

i did it myself and i got 4.2 (b) hope its right

step-by-step explanation:

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet