Point Tis on line segment SU. Given TU = 4x + 1, SU = 8, and ST = 3x,

determine the numerical length of TU.

Answers

Answer 1

Answer:

5 units

Step-by-step explanation:

If point T is on the line segment SU, then ST + TU = SU.

Given

TU = 4x + 1

SU = 8

ST =  3x

To get TU, we need to get the value of x first. To get x, we will substitute the given parameters into the formula;

3x+4x+1 = 8

7x+1 = 8

subtract 1 from both sides

7x+1-1 = 8-1

7x = 7

divide both sides by 7

7x/7 = 7/7

x = 1

Substitute x = 1 into the length TU

Since TU = 4x+1

TU = 4(1)+1

TU = 5

Hence the numerical length of TU is 5 units


Related Questions

2x+3=15=? .FIND X AND EXPLAIN WHY? ​

Answers

Answer:

  x = 6

Step-by-step explanation:

The properties of equality let you add the same thing to both sides of the equation without changing the value of the variable. The same is true for dividing both sides of the equation by the same thing. These properties can be used to find the value of the variable.

Solution

  2x + 3 = 15 . . . . . . given

  2x +3 -3 = 15 -3 . . . . add the opposite of 3 to both sides

  2x = 12 . . . . . . . . simplify

  2x/2 = 12/2 . . . . . . . divide both sides by 2

  x = 6 . . . . . . . . . simplify

Check

This value of x can be checked in the original equation to see if it makes the equation true:

  2×6 + 3 = 15 . . . . . . substitute 6 for x

  12 +3 = 15 . . . . . . . . a TRUE arithmetic fact

The value of x is 6, because that value makes the equation a true statement.

what is the sum of 2,888 and 74​

Answers

Answer:

2962

Step-by-step explanation:

 2 8 8 8

+       7 4

----------------

  2 9 6 2

Answer:

2962

Step-by-step explanation:

2888 +

    74

---------

2962

8 + 4 = 12

8 + 1 + 7 = 16

8 + 1 = 9

graph x= -2y by plotting the intercepts.

Answers

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

slope:-1/2

y-intercept:(0, 0)

Answer:

slope: [tex]-\frac{1}{2}[/tex]

y intercept: [tex]0,0[/tex]

Step-by-step explanation:

Here is a graph.

Hope this Helps!


The function rule for this graph is
y =

Answers

Answer:

-1/2 + 2.

Step-by-step explanation:

Solve the following equation 2x=15-1x

Answers

Answer:

x = 5

Step-by-step explanation:

2x = 15 - 1x

add 1x to both sides

3x = 15

divide both sides by 3

x = 5

Answer:

X=5

Step-by-step explanation:

Add 1x on both sides so you can get like terms on one side now you have 3x=15 You will now divide by 3 on both sides to get x by itself so you end up with X=5

Match the following items by evaluating the expression for x = -6. x^-2 x^-1 x^0 x^1 x^2

Answers

Answer:

see below

Step-by-step explanation:

x = -6  ⇒

x^-2  = (-6)^-2 = 1/36x^-1  = (-6)^-1 = -1/6x^0  = (-6)^0 = 1x^1  = (-6)^1 = -6x^2 = (-6)^2 = 36

Answer:

x =  - 6

Step-by-step explanation:

x = -6x⁻² x⁻¹ x⁰ x¹ x²

x² = 0,  x = 0

x¹  = 0, x = 0

the following points are undefined

x = 0

combine undefined points with solutions:

x = - 6


5.2-6x+2-3-2
Simplify fully

Answers

Answer:

-6x+4

Step-by-step explanation:

Answer:

-6x + 2.2

Step-by-step explanation:

Collect like terms: −6x+(5.2+2−3−2)

then simplfiy to get the ansanswer  

A machine salesperson earns a base salary of $40,000 plus a commission of $300 for every machine he sells. Write an equation that shows the total amount of income the salesperson earns, if he sells x machines in a year.

Answers

Answer:

40,000+300×

Step-by-step explanation:

300× × + the 40,000

I need help with #17 some body pls help this is due in a few min and it’s my last question T^T

Answers

Step-by-step explanation:

i think this would be the right answer...

Answer:

53

Step-by-step explanation:

10= 1/5x Given

10 * 5 = 1/5x * 5 divide 5 to both sides (remember you need to do the reciprocal of 1/5, that's why you multiply 5 to both sides)

50=x

If x is 50, subsitute 50 in the equation x+3=?

(50) + 3 = ?

53 = ?

select two ratios that are equivalent to 7: 10

Awsers

21 : 30

17 : 20

10 : 13

26 : 40

35 : 50​

Answers

21:30 and 35: and 50 this is because 7 times 3 is 21, 10 times 3 is 30, and 7 times 5 is 35, and lastly 10 times 5 is 50

Answer: 17:20

Step-by-step explanation:

7 is 3 away from 10, 17 is 3 away from 20, hope this helps

Use the number line below, where , RS=6y+2, ST=15y+9 and RT=5y-13. Find
the value of RS, ST, and RT *

Answers

Answer:

RS = - 7

ST = - 13.5 = - 13½

RT = - 20.5 = - 20½

Step-by-step explanation:

From the question given above, the following were obtained:

RS = 6y + 2

ST = 15y + 9

RT = 5y - 13

To obtain RS, ST and RT, we must first obtain the value of y. This can be obtained as follow:

From diagram above, it is evident that:

RT = RS + ST

RS = 6y + 2

ST = 15y + 9

RT = 5y - 13

5y - 13 = 6y + 2 + 15y + 9

5y - 13 = 6y + 15y + 2 + 9

5y - 13 = 21y + 11

Collect like terms

5y - 12y = 11 + 13

- 16y = 24

Divide both side by - 16

y = 24/ - 16

y = - 1.5

Finally, we shall determine RS, ST and RT as follow:

RS = 6y + 2

y = - 1.5

RS = 6(-1.5) + 2

RS = - 9 + 2

RS = - 7

ST = 15y + 9

y = - 1.5

ST = 15(-1.5) + 9

ST = - 22.5 + 9

ST = - 13.5 = - 13½

RT = 5y - 13

y = - 1.5

RT = 5(-1.5) - 13

RT = - 7.5 - 13

RT = - 20.5 = - 20½

What is the equivalent algebraic expression of " 5 less than four times a

number x " ?

Answers

I hope this helps and is right!

4 times a number is 4n then we want 5 less than that.

answer: 4n -5

Nina goes to the neighborhood store to buy 14 rolls of toilet paper. If she spent $20.02 in all for her purchase, how much does one roll of toilet paper cost?

Answers

Answer:

Each roll is $1.43.

Step-by-step explanation:

20.02 ÷ 14 = 1.43.

1.43 × 14 = 20.02.

The domain for variable x is the set of all integers. Select the statement that is true.
A. ∃x (3x=1)
B. ∃x (x2<1)
C. ∀x (x2=1)
D. ∃x (x2<0)

Answers

Answer:

B. ∃x (x2<1)

Step-by-step explanation:

When we take X = 0 and Placing it in each option as follow

A.

∃x (3x=1)

∃x (3(0)=1)

∃x (0=1)

Which is not true

B.

∃x (x2<1)

∃x ((0)2<1)

∃x (0<1)

Which is true

C.

∀x (x2=1)

∀x ((0)2=1)

∀x (0=1)

Which is not true

D.

∃x (x2<0)

∃x ((0)2<0)

∃x (0<0)

Which is not true.

Help me with this question please

Answers

Answer:

A. x + 46 = 2,749

Step-by-step explanation:

The total MUST be 2,749 as it is the amount of books added and the amount of books that were present from before; therefore, the books in total is 2,749.

x remains there, for the library had already had (x) amount of books from before.

46 is added to x because 46 is the amount of books acquired, in addition to (x) amount of books.

Therefore, the answer is x + 46 = 2,749

The following statements are about finding a midpoint of a segment in the complex plane. Which statement is false?
The midpoint is the average of the endpoints.
First add the endpoints and then multiply by 1/2.
First subtract the endpoints and then divide by 2.
The midpoint of complex conjugates will lie on the x-axis.

Answers

Answer:

C.

Step-by-step explanation:

First subtract the endpoints and then divide by 2.

The incorrect statement about the midpoint of a segment in the complex plane is: First subtract the endpoints and then divide by 2.

What is complex number?

"It is a number of the type a + ib, where a, b are real numbers and [tex]i=\sqrt{-1}[/tex]"

What is midpoint formula in the complex plane?

"The midpoint of two complex numbers a + bi and s + ti is [tex]M=\frac{a+s}{2}+i(\frac{b+t}{2} )[/tex]"

What is complex plane?

"It is formed by the complex numbers, with real axis (x-axis in coordinate plane) and imaginary axis(y-axis in coordinate plane)"

For given question,

We know that the midpoint of a segment in the complex plane passing through two complex numbers a + bi and s + ti is given by [tex]M=\frac{a+s}{2}+i(\frac{b+t}{2} )[/tex].

This means, the midpoint is the average of the endpoints.

or to find the midpoint first add the endpoints and then multiply by [tex]\frac{1}{2}[/tex]

We know that the complex conjugate of a complex number x + iy is        x - iy.

if we find the midpoint of a segment passing through these points, then it would be,

[tex]M=\frac{x+x}{2} + i (\frac{y-y}{2})\\\\M=x+0i\\M=x+0\\M=x[/tex]

This means the midpoint would lie on the X-axis.

Therefore, the incorrect statement about the midpoint of a segment in the complex plane is: First subtract the endpoints and then divide by 2.

Learn more about midpoint of complex numbers here:

https://brainly.com/question/11839107

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The average hourly wage of computer programmers with 2 years of experience has been $21.80.Because of high demand for computer programmers,it is believed there has been a significant increase in the average wage of computer programmers.To test whether or not there has been an increase,the correct hypotheses to be tested area. H0: μ < 21.80 Ha: μ >= 21.80b. H0: μ = 21.80 Ha: μ ≠ 21.80c. H0: μ > 21.80 Ha: μ =< 21.80d. H0: μ <= 21.80 Ha: μ > 21.80

Answers

Answer:

d. H0: μ <= 21.80 Ha: μ > 21.80

Step-by-step explanation:

We set the null hypothesis as what is already given . We are already informed that the average wage is equal to  μ <= 21.80 against the claim that is required. It is required to test whether the average wage of the computer programmers is greater than μ > 21.80

So option d is the best answer.

Hypotheses testing is done  using an observation and a claim. The observation is set as a null hypothesis and claim is set as an alternative hypothesis. The null and alternative hypotheses must be chosen wisely to get the correct results.

The critical region is dependent on the claim set.

A teacher wants to earn $1500 per year in supplemental income from a cash gift of $16,000. She puts $6,000 in a credit union that pays 7% annual interest. What rate must she earn on the remainder to achieve her goal

Answers

Answer:

6,000 * .07 = $420 per year

Therefore the remaining 10,000 must earn 1,080 per year

Total = Principal * (1+rate)^years OR

Total = 10,000 * 1 + rate

1,080 = 10,000*rate

1,080 / 10,000 = rate

rate = .108 OR rate = 10.8 % per year

Step-by-step explanation:

The product of two whole numbers is 504 and their sum is 45. What are the two numbers?

Answers

Answer:

21, 24

Step-by-step explanation:

1. Given:

[tex]xy=504[/tex][tex]x+y=45[/tex] [tex]y=45-x[/tex]

2. Solution:

[tex]x(45-x)=504[/tex][tex]45x-x^2=504[/tex] [tex]x^2-45x+504=0[/tex] [tex]x^2-24x-21x+504=0[/tex] [tex]x(x-24)-21(x-24)=0[/tex] [tex](x-24)(x-21)=0[/tex] [tex]x_1=24[/tex] ⇒ [tex]y_1=21[/tex] [tex]x_2=21[/tex] ⇒ [tex]y_2=24[/tex]

Open the line reflection application. The right line is a reflection across the y-axis of the left line. Click the reflect over y-axis button. Are these lines the same? What does this mean about how a line changes when you reflect it?

Answers

Answer:

The lines are the same, they are just in a different position.

Step-by-step explanation:

A reflection is a type of rigid transformation. Rigid transformations do not change the size nor the length of the pre-image.

In other words, the pre-image and the image in a rigid transformation are congruent.

Hope this helps.  

Based on the fact that the right line is a reflection across the y-axis, the lines are the same, they are just in a different position.

What is a Reflection?

This refers to the rigid transformation type that is used to represent an image and does not change its size or length of it.

With this understanding, we can see that the pre-image and the image in a rigid transformation are congruent which makes the lines to be the same, even if they are in a different position.

Read more about line reflection here:

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Jennifer is currently standing at 25 feet above sea level. Jim is swimming at 9 feet below sea level. How far apart are Jim and Jennifer? A. -34 b. -16 c. 16 d. 34

Answers

Answer:

D. 34 ft

Step-by-step explanation:

25+9=34

Jim is 34ft below Jenifer

Ramon needs to simplify the expression below. StartFraction 3.5 times 2 divided by 0.4 over 8.1 + 1.5 minus 4 EndFraction Which operation should he perform first? 1.5 minus 4 2 divided by 0.4 3.5 times 2 3.5 divided by 8.1

Answers

Answer:

I think is C

3.5x2

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

edu2021

1. Simplify each of the following fractions
leaving each as an improper fraction, not a whole
number. Do not use your calculator!
4.50
5
3.2
8

Answers

Answers:

9/2

5/1

16/5

8/1

9/2
5/1
16/5
8/1
are the answers

A square hada perimeter of 29x^2-24x-16 what is the side length

Answers

Answer:

7.25x²-6x-4

Step-by-step explanation:

29x²-24x-16

÷4=

7.25x²-6x-4

What is the order of the steps to solve for x in the equation 3x - 6x - 7 = 29?
Use the addition property of equality.
Use the division property of equality.
Combine like terms.

Answers

Answer:

3x - 6x - 7 = 29 Given

-----------------------------------

3x - 6x -7  = 29

           + 7   + 7     Addition property of equality

3x - 6x = 36

--------------------------------------------------------------

3x - 6x = 36

(3x + -6x) = 36         Combine like terms

-3x = 36    

--------------------------------------------------------------

-3x = 36

(-3x = 36)/ -3         Division property of equality

x = -12

Step-by-step explanation:

I tried to seperate the steps so you can go through them. First you had to add on both sides to take out the like terms, then combine the 3x and the  -6x to make -3x (easier to look at and divide), and finally divide to find X. the end product using X cannot be a negative because its a filler space for a real number.

Hope this helps :)

Answer:

answer in picture

Step-by-step explanation:

Two number are
from point A on a number line if the distance from
point A to each of the two numbers is the same.
opposite
similar
away
equidistant

Answers

Do you still need this

A can do a piece of work in 20 days and B can do it in 12 days,B work for 9 days,in how many days A alone can do the work​

Answers

Answer: 9

Step-by-step explanation:

The sides of the figure below measure 11 14 and 21 ft find the perimeter

Answers

Answer:

46

Step-by-step explanation:

11+14+21=46

If a train travels at 66 mph for 10 min, what is the distance traveled?

Answers

Answer:

11 miles

Step-by-step explanation:

find how many miles per minute

66 / 60 = 1.1

find how many miles in 10 minutes

1.1 • 10 = 11

11 miles

Answer:

11 miles

Step-by-step explanation:

66 miles per hour

Convert minutes to hours

10 minutes * 1 hour/ 60 minutes = 1/6 hour

distance = rate * time

              = 66 miles per hour * 1/6 hour

               = 11 miles

Four out of 12 goldfish in an aquarium ate their food. What ratio represents the
goldfish that ate their food to those that did not?

Answers

Answer:

4-8

Step-by-step explanation:

Answer:

1:3

Step-by-step explanation:

I changed 4/12 to a fraction then simplified it

4/12=1/3

one gold fish ate their food for every 3 they fed

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