Describe the vertical asymptote and holes for the graph of
y=(x-3)(x-1)/(x-1)(x-5)

Hole=1 and vertical asymptote=5    

Step-by-step explanation:

It is given that:

Look at the denominator and determine the values for which it is zero, therefore

(x-1)(x-5)=0⇒x=1,5

There is a common factor of (x-1), so we can cancel that common factor:

But note we can only do that provided x-1≠0, x≠1.

We have already got that when  x=1 the denominator is zero, so there is a removable discontinuity at that point (or a "hole").

when x=5, he denominator is also zero and this is the only vertical asymptote.

3 1/3 x 2 3/5 = 8 2/3

step-by-step explanation:

just multiply the first number by the second number to get your answer.

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 .