Perform the indicated operation and simplify your answer in factored form.

a^2+6a-7/2a^2+4a^2+2a*2a/a^2-1

Step-by-step explanation:

The given expression is

First, we solve the division

Second, we factor the numerator

The first expression is the difference between two perfect squares, and the second expression is about finding to number which product is 7 and which difference is 6.

Third, we factor the denominator

We extract the common factor from the trinomial

Now, we find two number which product is 1 and which sum is 2

Then, we replace all factor in the initial fraction

Equal factors are simplified, given as result

answer: the answer is one of

step-by-step explanation:   we are given to write a proper fraction where the whole is divided into an even number of equal parts less than ten, and an odd number of those parts exist.

an even number less than 10 may be one of 2, 4, 6 or 8. so, the whole may be one of these four evens.

now, an odd number of these parts must exist, so the numerator must be an odd number, one of 1, 3, 5 or 7. it cannot be 9 because then the fraction will become improper.

thus, our fraction may be one of the following

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.