RT = 29, RS = 2x + 1, ST = 6x + 4. What is the length of RS?

7

Step-by-step explanation:

Given

RT=29

RS=2x+1

ST=6x+4

Now,

From the figure attached

RT=RS+ST

29=2x+1+6x+4

29=8x+5

29-5=8x

24=8x

x=3

Now,

Length of RS can be calculated as:

RS=2x+1

RS=2(3)+1

RS=7

Answer is 7

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this

is only a line? i think so