Point T is on line segment S U . Given T U = 4 x + 1 , S U = 8 and S T = 3 x , determine the numerical length of T U ‾ .

3 answers
Question:

Point T is on line segment S U . Given T U = 4 x + 1 , S U = 8 and S T = 3 x , determine the numerical length of T U ‾ .

Answers

Step-by-step exhulg

160

step-by-step explanation:

idk

i hope i

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.

Similar Solved Works

4 answers

Here are the low temperatures (in Fahrenheit) for one week in Ozone Park, Queens, New York:Monday Tuesday Wednesday Thursday Friday

Here are the low temperatures (in Fahrenheit) for one week in Ozone Park, Queens, New York: Monday Tuesday Wednesday Thursday Friday Saturday Sunday 25 -10 -25 -20 30 40 a. Arrange the temperatures in order from coldest to warmest temperature. Use a number line to model. Label each point with the ...
3 answers

Iba-iba ang kultura ng bawat rehiyon at pangkat etniko. Mahalaga namaunawaan at igalang ang mga gawaing nagpapakita ng pagpapahalaga saiba't ibang

Iba-iba ang kultura ng bawat rehiyon at pangkat etniko. Mahalaga na maunawaan at igalang ang mga gawaing nagpapakita ng pagpapahalaga saiba't ibang kultura ng mga pangkat etniko sa bansa. Ang pagpapahalago'tpagsasabuhay sa ating kultura na nakagisnan ay paraan ng pagpapalita ngpagmamahal sa bansa....
3 answers

After grading the most recent chapter test, a science teacher asks twelve of his 10th grade summer school students how long

After grading the most recent chapter test, a science teacher asks twelve of his 10th grade summer school students how long they studied for the test. their answers, as well as their corresponding test grades, were recorded on a table and placed on the scatter plot below. according to the equation...
2 answers

The time, t, required to drive a certain distance varies inversely with the speed r. if it takes 12 hours to drive the distance

The time, t, required to drive a certain distance varies inversely with the speed r. if it takes 12 hours to drive the distance at 60 miles per hour, how long ill it take to drive the same distance at 60 miles per hour, how long will it take to drive the same distance at 85 miles per hour....
10 answers

What’s the mean and median of this data set? And how did you get it? I don’t know how to do this stuff...

What’s the mean and median of this data set? And how did you get it? I don’t know how to do this stuff... [tex]What’s the mean and median of this data set? And how did you get it? I don’t know how to do this stu[/tex]...
12 answers

Problem #3: Sparkles the Clown makes balloon animals for children at birthdayparties. At Vicky's party, he made 5 balloon poodles and

Problem #3: Sparkles the Clown makes balloon animals for children at birthday parties. At Vicky's party, he made 5 balloon poodles and 2 balloon giraffes, which used a total of 20 balloons. For Mona's party, he used 35 balloons to make 5 balloon poodles and 5 balloon giraffes. How many balloons doe...
3 answers

Arealator makes a commison of 3500 on a 50000 house what is commison rate

Arealator makes a commison of 3500 on a 50000 house what is commison rate...
6 answers

Which of the arguments in the lesson did you find most effective in communicating a position on the soda ban? identify the

Which of the arguments in the lesson did you find most effective in communicating a position on the soda ban? identify the argument and explain why. include details from the argument and comments on ethos, pathos, and logos. answer in a minimum of five sentences....
3 answers

You are attending a concert and you must park your car. One option is a $7.00 entry fee and$2.00 per hour. A second option is a $5.00

You are attending a concert and you must park your car. One option is a $7.00 entry fee and $2.00 per hour. A second option is a $5.00 entry fee and S3.00 per hour. What is the break-even point for these two options? Which option do you think is better? Explain your answer....
7 answers

Please help on # 1 and 2 ​

Please help on # 1 and 2 ​ [tex]Please help on # 1 and 2 ​[/tex]...
3 answers

Which molecule initiates the halt of the cycle when damaged dna is detected in g1? a. rbb. p53c. cdk/cyclin

Which molecule initiates the halt of the cycle when damaged dna is detected in g1? a. rbb. p53c. cdk/cyclin complexd. p21e. d2f...
4 answers

Use the interactive number line to find each sum to complete the table

Use the interactive number line to find each sum to complete the table...
3 answers

Three single-phase, 7200 volt to 480 volt, 100 kVA transformers are connected in a step-down bank with the 7200 windings connected

Three single-phase, 7200 volt to 480 volt, 100 kVA transformers are connected in a step-down bank with the 7200 windings connected in wye and the 480 volt windings connected in delta. What is the rated line-to-line voltage on the wye side? 1. 12,470 V 2. 7,200 V 3. 4.160 V 4. 14,400 V 5. None o...
4 answers

Jorge tenía 34 pitos de juguete. en su cumpleaños, le regaló 2 pitos a cada uno de sus 12 amigos. ¿cuántos pitos de

Jorge tenía 34 pitos de juguete. en su cumpleaños, le regaló 2 pitos a cada uno de sus 12 amigos. ¿cuántos pitos de juguete le quedaron?...
4 answers

Which president shaped their own political party

Which president shaped their own political party...
3 answers

How did the proclimation 1763 directly affect georgia? ​

How did the proclimation 1763 directly affect georgia? ​...
10 answers

4p - 7 < 21                         

4p - 7 < 21                                                                       ...
4 answers

Which graph represents the solution set for the system 2x + 5y ≤ 9 and 3x + 5y ≤ 9?

Which graph represents the solution set for the system 2x + 5y ≤ 9 and 3x + 5y ≤ 9?...
5 answers

How might a war with a country that is a member of opec impact citizens living in the united states

How might a war with a country that is a member of opec impact citizens living in the united states...
1 answer

Your younger brother determined that the distance from Jackson to Tucson, Arizona is 7,159,680 feet. He claims that this is further

Your younger brother determined that the distance from Jackson to Tucson, Arizona is 7,159,680 feet. He claims that this is further than the distance to Ottawa. Is he correct? Justify your answer using mathematical evidence....

-- 0.027531--