Given the functionlatex: f(x)=\frac{x^2+7x+10}{x^2+9x+20}f ( x ) = x 2 + 7 x + 10 x 2 + 9 x + 20

describe where the function has a vertical asymptote and how you found your answer. remember that an asymptote is represented by an equation of a line and not just a single value.

The equation of Vertical asymptote is x+4=0

Step-by-step explanation:

Figure shows vertical asymptote at x=4=0

Where redline is f(x) and blueline is vertical asymptote

Given the function is f(x) =

Step 1 : Simplifying denominator and numerator

For denominator

For numerator

Step2 : Finding Vertical asymptote

After simplification of f(x)

f(x) =

f(x) =

Here, Denominator will give Vertical asymptote.

Therefore, Vertical asymptote is x+4=0

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

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step-by-step explanation: