Answered

Get personalized answers to your unique questions on IDNLearn.com. Our Q&A platform offers detailed and trustworthy answers to ensure you have the information you need.

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
We appreciate your contributions to this forum. Don't forget to check back for the latest answers. Keep asking, answering, and sharing useful information. Find clear and concise answers at IDNLearn.com. Thanks for stopping by, and come back for more dependable solutions.