Answered

IDNLearn.com: Your trusted platform for finding reliable answers. Get accurate and comprehensive answers from our network of experienced professionals.

If S is between R and T, RT=24, RS=x^2+8, and ST= 3x+6

how to find the value of X and if S is the midpoint or not (please show how you got the answer)

Sagot :

R•----S•-----•T
The total (RT) is 24. So you need to find the segments that make up RT. (RS & ST) Set up your equation by plugging in what you know. We know RS is x²+8. We also know that ST is 3x+6. And that RT is 24. So, RS + ST = RT. x²+8 (RS) + 3x+6 (ST) = 24 (RT). Then just combine like terms, and solve for x. Then plug x back into each equation (such as RS & ST) to figure out what they equal.
[tex]|RT|=24;\ |RS|=x^2+8;\ |ST|=3x+6\\\\|RT|=|RS|+|ST|\\\\(x^2+8)+(3x+6)=24\\x^2+3x+14-24=0\\x^2+3x-10=0\\x^2+5x-2x-10=0\\x(x+5)-2(x+5)=0\\(x+5)(x-2)=0\iff x+5=0\ or\ x-2=0\\\boxed{x=-5\ or\ x=2}[/tex]
View image Аноним
Thank you for being part of this discussion. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. IDNLearn.com is committed to providing the best answers. Thank you for visiting, and see you next time for more solutions.