Point S is on line segment RT. Given ST = 2x – 10, RS = 2x - 5, and
RT = 3x + 1, determine the numerical length of RT.

Answers

Answer 1

Answer: 49

Step-by-step explanation:

Answer 2

The numerical length of RT is 49 units if point S is on the line segment RT. Given ST = 2x – 10, RS = 2x - 5, and RT = 3x + 1.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

Point S is on line segment RT.  

ST = 2x – 10,

RS = 2x - 5, and

RT = 3x + 1,

RT = RS + ST

3x + 1 = 2x - 5 + 2x - 10

The above equation is representing a linear equation in one variable.

After simplifying:

3x + 1 = 4x - 15

4x - 3x = 15 + 1

x = 16

RT = 3x + 1

Plug x = -14

RT = 3(16) + 1

RT = 48 + 1

RT = 49

The numerical value of RT = 49

Thus, the numerical length of RT is 49 units if point S is on line segment RT. Given ST = 2x – 10, RS = 2x - 5, and RT = 3x + 1.

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Related Questions

I am genuinely so confused please help

Answers

Answer:

I hope it will help you :)

I will give brainliest answer

Answers

Answer:

(-2,-1)

Step-by-step explanation:

Right now, P is at (3,-4).  After the translation, it would be at

(-2,-1)

x/3 - 15 = -7 solve for x

Answers

Answer:

[tex]x=24[/tex]

Step-by-step explanation:

[tex]\frac{x}{3}-15=-7[/tex]

Add 15 to both sides:

[tex]\frac{x}{3}-15+15=-7+15[/tex]

[tex]\frac{x}{3} =8[/tex]

Multiply both sides by 3:

[tex]\frac{3x}{3}=8\times3[/tex]

[tex]x=24[/tex]


[
When a submarine starts at sea level, goes down
250 feet, rises 80 feet, and descends another 18
feet, how would this be shown mathematically?

Answers

Answer:

This should be shown as:

-250 + 80 - 18 =  - 118

Step-by-step explanation:

Going down 250 feet will mean going down feet 250 so it will be -250. Rising 80 feet will mean going up 80 feet so it will be adding 80. Finally, descending 18 feet will mean going down 18 feet, so it will be -18. If you put them all together as one equation, you will get -250 + 80 - 18 which is -118.

Hope this helps!

The required mathematical expression would be shown  as:

-250 + 80 - 18 =  - 118

What is algebra?

Algebra is the analysis of mathematical representations, while logic is the manipulation of those symbols.

When a submarine starts at sea level, goes down 250 feet, rises 80 feet, and descends another 18 feet which are given in the question.

Going down 250 feet means going down 250 feet, thus it will be -250. Rising 80 feet will result in an increase of 80 feet. Finally, descending 18 feet means going down 18 feet, therefore the result is -18. When you add them all together, you get -250 + 80 - 18, which equals -118.

Therefore, the required mathematical expression would be shown  as:

-250 + 80 - 18 =  - 118

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2
If A=
4 3
find A1 using
elementary row operations.​

Answers

Answer:   [tex]A^{-1}=\left[\begin{array}{cc}\frac{3}{2}&-\frac{1}{2}\\-2&1\end{array}\right][/tex]

Step-by-step explanation:

                  [tex]\left[\begin{array}{cc}2&1\\4&3\end{array}\right]=\left[\begin{array}{cc}1&0\\0&1\end{array}\right][/tex]

[tex]\dfrac{1}{2}Row\ 1\rightarrow\left[\begin{array}{cc}1&\frac{1}{2}\\4&3\end{array}\right]=\left[\begin{array}{cc}\frac{1}{2}&0\\0&1\end{array}\right][/tex]

[tex]Row\ 2 -4 \ Row\ 1\rightarrow \left[\begin{array}{cc}1&\frac{1}{2}\\0&1\end{array}\right]=\left[\begin{array}{cc}\frac{1}{2}&0\\-2&1\end{array}\right][/tex]

[tex]Row\ 1-\dfrac{1}{2}\ Row\ 2 \rightarrow \left[\begin{array}{cc}1&0\\0&1\end{array}\right]=\left[\begin{array}{cc}\frac{3}{2}&-\frac{1}{2}\\-2&1\end{array}\right][/tex]

How would you do this question?

Answers

Answer:

1) ∫ x² e^(x) dx

4) ∫ x cos(x) dx

Step-by-step explanation:

To solve this problem, eliminate the choices that can be solved by substitution.

In the second problem, we can say u = x², and du = 2x dx.

∫ x cos(x²) dx = ∫ ½ cos(u) du

In the third problem, we can say u = x², and du = 2x dx.

∫ x e^(x²) dx = ∫ ½ e^(u) du

PLEASE HELP!! BEST ANSWER WILL BE MARKED BRAINIEST! The stadium is at (-2,3) and the high schools (1,8). What is the shortest driving distance (in blocks) between these two locations? Can you figure this out without looking a the grid

Answers

Answer:

Shortest distance is 5 blocks.

Answer:

5.8

Step-by-step explanation:

I'm not 100% on this as the decimal in the answer makes me doubt myself. Here's the explanation anyways

ASAP! Question 3: The following data give the weights (in pounds) lost by 15 members of a health club at the end of 2 months after joining the club. 3 22 9 19 12 3 9 13 12 17 7 3 7 17 14 a. Compute the values of the three quartiles and the interquartile range. Q1 = Q2 = Q3 = IQR = b. Calculate the approximate value of the 82nd percentile. Enter an exact value: c. Find the percentile rank of 14. Round your answer to the nearest integer: %

Answers

Answer:

First arrange the data in an order

3, 3, 3, 7, 7, 10, 10, 12, 12, 13, 14, 17, 17, 18, 21

a.) Q1 = (N + 1)/4th item = (15 + 1)/4 = 4th item = 7

Q2 = 2(16)/4 = 16/2 = 8th item = 12

Q3 = 3(16)/4 = 3(4) = 12th item = 17

IQR = (Q3 - Q1)/2 = (17 - 7)/2 = 10/2 = 5

b.) 82nd percentile = 82(16)/100 = 13th item = 17

c.) 12 is the 8th item which is in the middle of the data set, so the percentile rank is 50%

Step-by-step explanation:

Urgent Fast!!!!!!!??????​

Answers

If he has 484 plants and there are as many rows as there are plants in each row, his field is a square.

The area of a square = (side)^2

In this problem,

Area = 484

side = # of rows

Let's plug our values into the formula above

484 plants = (side)^2

Take the sqrt of both sides.

22 rows = side.

Answer:

This is the answer..........

How do you do both questions?

Answers

1. We have all the information we need here to set up our 'least-squares regression equation.'

Given: r = 0.68, x = 260, y = 70, s₁ = 33, s₂ = 6, remember that the general equation for our least-squares line is in the form y = a + bx. The slope of the regression equation is the linear correlation coefficient multiplied by the standard deviation for x:

b = r(s₂ / s₁) = 0.68(6 / 33) = 0.12363...

Remember that the constant of the regression equation is the mean of y decreased by the product of the slope and the mean of x:

a = y - bx = 70 -  0.12363(260) = 37.8562

The equation of the least-squares regression line would then be y = 37.8562 + 0.12363x. We know that the Jane's previous score was 279, so if we plug that into our equation as 'x' we will receive Jane's final score. The set up will be y = 37.8562 + 0.12363(279) = 72.34897. Your solution for the first part is absolutely correct!

2. Actually the values of 'y' could have been much larger. r^2 = 0.4624, thus the proportion of y explained by x is only about 46%. It would negatively affect her final course grade.

I want to know-24 divided by -4

Answers

Answer: 6

Step-by-step explanation: -24/-4 = 6.

the answer is: 6          

explanation: ...                                                                                                                                                                                                                                                          

The Math 123 book includes about 230 pages (not including the back parts of the book). If you aim to complete 65% of all the pages, how many should you finish?

Answers

Answer:

149.5 pages excluding the back parts

150.8 pages including the back parts

Step-by-step explanation:

Total pages in Math 123 book = 230 pages

You aim to complete 65% of all the pages, how many should you finish

65 % of 230 pages

= 65 / 100 × 230 pages

= 0.65 × 230 pages

= 149.5 pages excluding the bark parts of the book

If you include the back parts, that is, the beginning and ending page

You have a total of 230 pages + 2 pages

= 232 pages

65 % of 232 pages

= 65 / 100 × 232 pages

= 0.65 × 232 pages

= 150.8 pages including the back parts

The length of a rectangle is 5 centimeters longer than twice its width. If the perimeter of the rectangle is 88 centimeters, what is the width?

Answers

Answer:

The length of a rectangle is 5 centimetres longer than twice its width. If the perimeter of the rectangle is 88 centimetres, what is the width?

width=x

length=2x+5

perimeter=88=2L+2W

 

so half perimeter=44=L+W

x+2x+5=44

3x=39

x=13 cm width ANSWER

2x+5=31 cm length

The width of the rectangle is Width, W = 13 centimeters.

Let the length of the rectangle be L. Let the width of the rectangle be W.

Given the following data:

Perimeter of rectangle = 88 centimeters

Translating the word problem into an algebraic equation, we have;

[tex]L = 2W + 5[/tex]

To find the width of the rectangle;

Mathematically, the perimeter of a rectangle is given by the formula;

[tex]P = 2(L + W)[/tex]

Substituting the values into the formula, we have;

[tex]88 = 2(2W + 5 + W)\\\\88 = 2(3W + 5)\\\\88 = 6W + 10\\\\6W = 88 - 10\\6W = 78\\\\W = \frac{78}{6}[/tex]

Width, W = 13 centimeters.

Therefore, the width of the rectangle is Width, W = 13 centimeters.

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4 customers entered a store over the course of 6 minutes. At what rate were the

customers entering the store in customers per minute?

Answers

50 seconds per minute

The rate of entering customers per minute, if 4 customers entered a store over the course of 6 minutes, is 2 / 3.

What is division?

It is the basic arithmetic operation, in which you are separating the number into some parts. One of the fundamental mathematical operations is division, which involves breaking a bigger number into smaller groups with the same number of components.

Given:

4 customers entered a store over the course of 6 minutes,

Calculate the rate of entering customers per minute as shown below,

The rate of entering customers per minute = total number of customer / total time

The rate of entering customers per minute = 4 / 6

The rate of entering customers per minute = 2 / 3

Thus, the rate of entering is 2 / 3.

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PLEASE HELP PLEASE PLEASE

Answers

Answer:

The second one is d. 13

Step-by-step explanation:

Add what you know first. 110+57= 167. Then, subtract what the angle is all together with the answer from what you know. 180-167= 13. X= 13. I'm bad at explaining so I hope that was clear.

2. Graph the inequality.
y<- 3x-2

Answers

Answer:

(2,-8)  (0,-2)

Step-by-step explanation:

y=mx+b
M= slope
B= y-intercept

-2 is the y-intercept (0,-2), plot those coordinates

-3x is the slope
- slope is -3/1
- top number depicts if you go up or down, (-) go down and (+) go up
- the bottom number you go to the right

So, from (0,-2) go down three and to the right one

Graph a dotted line since it is

A coin was tossed 60 times and the coin landed on Heads 35 times. What proportion of the time did the coin land on Heads?
Type your numeric answer and submit

Answers

Answer: Hence, the proportion of head lands obtained from the total number of tosses is 0.583

Step-by-step explanation:

Given the following :

Total number of coin tosses = 60

Total number of times coin landed on head = 35

Proportion of head landings obtained :

Total number of head landings obtained / total number of coin tosses

Proportion of head landing obtained :

= 35 / 60 = 7 / 12 = 0.5833

Help please !!!
Write the equation of the line if the line passes through (4,4) and the y-intercepts is -4

Answers

The equation for this line would be y=2x-4



Approximtely how many 27cubic volume cabinets will a container98,000cbic volume hold?

Answers

Answer: 3630

Step-by-step explanation:

Given that:

Volume of container = 98,000 cubic volume

Volume of cabinet = 27 cubic volume

The number of cabinets which the container will. Hold equals:

Volume of container / volume of cabinet

= 98000 cubic volume / 27 cubic volume

= 3629.6296

The container will hold approximately 3630 27 cubic volume of cabinet.

The sum of three consecutive integers is -216. List the numbers from smallest to largest:
Check Answer

Answers

Answer:

Step-by-step explanation:

One

Answer:

-73,-74 and -75

Step-by-step explanation:

1st No=x

2nd No=x+1

3rd No=x+2

x+(x+1)+(x+2)=-216

x+x+x+2+1=-216

3x+3=-216

3x=-216-3

3x=-219 (÷ b.s by 3)

x=-73

1st No=-73

2nd No=-73+1

3rd No=-73+2

Express the ratio BC/EF in simplest form

Answers

Answer:

bc/ef =48/32

divide by 16 you will get

3/2

Step-by-step explanation:

What is the solution of the following quadratic inequality?
XA – 18x²=-64
0 (-3.623, -2.208) U (2.208, 3.623)
[-3.623, -2.208] U [2.208, 3.623]
0 (-00, -3.623) U (-2.208, 2.208) U (3.623, co)
(-00, -3.623] U-2.208, 2.208] U [3.623, có)
o

Answers

Answer:

Answer D

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

ddddddddddddddddddddd

Please help me out!!!!!

Answers

Solution:

Inverse of [tex] {12}^{2} [/tex] is [tex] {12}^{ \frac{1}{2} } [/tex]

Explanation:

Because [tex] {12}^{ \frac{1}{2} } = \sqrt[2]{12} [/tex]Which is the inverse of [tex] {12}^{2} [/tex]

Answer:

Option C. Is the correct answer.

Crude oil Imports to one country from another for 2009-2013 could be approximated by the following model where t is time in years since the start of 2000,
(1) --33428001 - 1,000 thousand barrels per day (9 st s 13)
According to the model, approximately when were oil imports to the country greatest? HINT (See Example 1) (Round your answer to two decimal places.)
How many barrels per day were imported at that time? (Round your answer to two significant digits.)
thousand barrels

Answers

Answer:

Time = approximately mid 2012Oil import rate = 3600 barrels

Step-by-step explanation:

Unclear part of the questionI(t) = −35t² + 800t − 1,000 thousand barrels per day (9 ≤ t ≤ 13) According to the model, approximately when were oil imports to the country greatest?  t =  ? Solution

Given the quadratic function  

The vertex of a quadratic function is found by a formula: x = -b/2a

As per given function:

b = 800, a = -35

Then

t = - 800/2*(-35) = 11.43 which is within given range of 9 ≤ t ≤ 13

This time is approximately mid 2012.

Considering this in the function, to get oil import rate for the same time:

l(11.43) = -35*(11.43)² + 800*11.43 - 1000 = 3571.4285

Rounded to two significant figures, the greatest oil import rate was:

3600 barrels

Use the given conditions to write an equation in point-slope form. Keep parenthesis in point-slope form. passing through (3,5) and (8,15).

Answers

Answer:

Step-by-step explanation:

(15 -5)/(8 - 3)= 10/5 = 2

y - 5 = 2(x - 3)

y - 5 = 2x - 6

y = 2x - 1

In your part-time job, your hours vary each week. One week you worked 22 hours, the next 25 hours, the third 14 hours, and the fourth 19 hours. Your gross pay for the entire month was $960. How much money did you bring home during the second week?

Answers

Answer:

$300

Step-by-step explanation:

1 month =4 weeks

1 week=22 hrs

2 week= 25 hrs

3 week = 14 hrs

4 week = 19 hrs

Total of hrs in the month is 80 hrs

80 hrs = $960

25 hrs = ?

960×25÷80=300

Answer =$ 300

Solve the equation 15.6 + (-1.8) =

Answers

Since +(-) becomes (-) we can write the given problem as

15.6-1.8

Subtraction gives us 13.8

:)

If Ben invests $3000 at 4% interest per year, how much additional money must he invest at 5.5 % annual interest to ensure that the interest he receives each year is 4.5 % of the total amount invested?

Answers

Answer:

$1500

Step-by-step explanation:

Investment 1 = $3000Interest 1 = 4%Investment 2 = xInterest 2 = 5.5%Total interest = 4.5%

Total interest:

3000*0.04 + x*0.055 = (3000+ x)*0.045    ⇒ multiply by 100 both sides3000*4 + 5.5x = 3000*4.5 + 4.5x                ⇒ parenthesis5.5x - 4.5x = 3000(4.5-4)                             ⇒ collect like termsx = 3000*0.5                                                ⇒ simplifyx = 1500                                                        ⇒ answer

Additional money is $1500

State the domain and range and determine if its a function?

Answers

Domain is 3, 6, 12, 18. Range is 5, 7, 9, 10. Not a function because the domain 6 has two different outputs



give
given the slope of the line and one point that it passes through represent the equation of the line in point slope form then rewrite the equation in slope intercept form.

part A: (-4,7);m=-3/4

Answers

Slope intercept form needs two things. The slope and y-intercept.

y = mx + b

m = the slope

b = y-intercept.

In this problem, we are given the slope and a point the line passes through.

m = -3/4

So far we have y = -3/4x + b

To find b, we need to plug the point into the line.

-4 is the x-coordinate, so we plug -4 into x

7 is the y-coordinate, so we plug 7 into y

7 = -3/4(-4) + b

Simplify.

7 = 3 + b

Subtract 3 from both sides.

4 = b

Our equation is: y = -3/4x + 4

The point-slope intercept of the given line with slope -3/4 and passes through (-4,7) is  y = (-3/4) x + 4.

What is a linear function?

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

As per the given,

(-4,7);m=-3/4

The equation of a linear line in point-slope point is given as,

y = mx + c

Put (-4,7);m=-3/4

7 = -3/4 (-4) + c

c = 7 - 3 = 4

Thus equation will be as, y = (-3/4) x + 4

Hence "The point-slope intercept of the given line with slope -3/4 and passes through (-4,7) is y = (-3/4) x + 4".

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