If T is the midpoint of SV, ST= x + 4, and TV= 2x - 8, how long is SV?

The answer to your question is SV = 32

Step-by-step explanation:

Data

T = mid point

ST = x + 4

TV = 2x - 8

SV = ?

Process

1.- If T is the mid point of SV, that means that the distance from ST to SV is the same.

                    ST = TV

2.- Substitution

               x + 4 = 2x - 8

-Solve for x

              x - 2x = -8 - 4

-Simplifying

                   -x = -12

-Result

                    x = 12

3.- Find the length of SV

                  SV = ST + TV

                  SV = x + 4 + 2x - 8

                  SV = 12 + 4 + 2(12) - 8

                  SV = 16 + 24 - 8

                  SV = 40 - 8

                  SV = 32                          

5050

hope this !

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb