Use the number line below, where rs=7y+3, st=2y+9, rt=14y-8a. what is the value of y? y=

From the given line, it can be concluded that:

Doing this, we get that:

Question a:

The length of the sides are:

Since RT is RS added to ST:

The value of y is 4.

Question b:

Replacing y by 4, we find the lengths.

Thus, the lenghts of the segments are:

A similar question is given at: link

We need to use what we know of segments to write and solve equations that will allow us to find the value of y.

The solution is y = 4.

The information given is:

RS = 7y + 3

ST = 2y + 9

RT = 14y - 8

Because S is between R and T, we know that:

RT = RS + ST

So we can replace the equations for each segment above to get:

14y - 8 = (7y + 3) + (2y + 9)

Now we can solve this for y, to do it, let's move all the terms with "y" to the left side.

14y -7y - 2y = 3 + 9 + 8

(14 - 7 - 2)*y = 20

5*y = 20

y = 20/5 = 4

y = 4

We found that the value of y is 4.

If you want to learn more, you can read:

link

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

cretdit to source

two? xd

step-by-step explanation: