Mathematics College

if R is the midpoint of QS, RS = 2x-4, ST = tx-1, and RT = 8x-43

Answers

Answer 1

The question is incomplete. Here is the complete question.

If R is the midpoint of QS, [tex]RS=2x-4[/tex], ST = [tex]4x-1[/tex] and RT = [tex]8x-43[/tex], find QS.

Answer: QS = 68 units

Step-by-step explanation: The figure below shows a line segment QT.

To determine QS, first, determine value of x:

RT = RS + ST

[tex]8x-43=2x-4+4x-1[/tex]

[tex]8x-43=6x-5[/tex]

2x = 38

x = 19

Now, we determine QS:

Midpoint is a point dividing a line segment in two equal parts.

Then, QR = RS.

QS = QR + RS

QS = 2RS

[tex]QS=2(2x-4)[/tex]

[tex]QS=4x-8[/tex]

Substituting x = 19:

[tex]QS=4.19-8[/tex]

QS = 68

The segment QS is 68 units.

If R Is The Midpoint Of QS, RS = 2x-4, ST = Tx-1, And RT = 8x-43

Answer 2

Answer: x = 1

Step-by-step explanation:

I have no idea what the actual answer is, as you didn't ask a question. So i'm assuming that you want the value of x.

Step 1: Draw a line containing all the points

R is in between point Q and point S, while T is last, based on alphabetical order.

Illustration:

2x - 4 Tx - 1

Q R S T

8x - 43

Step 2: Find T's value

To find t, create the substitution equation RS + ST = RT

2x - 4 + tx - 1 = 8x - 43

-2x -2x

-4 + tx - 1 = 6x - 43

tx - 5 = 6x - 43

tx = 6x - 38

tx/x = 6x/x - 38

t = 6 - 38

t = -32

This is the value of t

By the way, there is no correlation between point T and the variable t.

Step 3: Find x's value

Now that we know what t is, we can solve for x

2x - 4 -32x - 1 = 8x - 43

-30x - 5 = 8x - 43

+30x +30x

-5 = 38x - 43

+43 +43

38 = 38x

38/38 = 38x/38

1 = x

This is the value of x

Related Questions

Fast plz
The options are
-Is
-Is not

Answers

Answer:

the rate of change is constant

Step-by-step explanation:

Total emissions of carbon dioxide from the burning of fossil fuels have been increasing at about 5% per year (data from 2010 to 2011). If emissions continue to increase at this rate, about how much higher will total emissions be in 2035 than in 2010? Using the approximate formula, emissions will increase by a factor of between 2010 and 2035. Using the exact formula, emissions will increase by a factor of between 2010 and 2035. (Round to two decimal places as needed.)

Answers

Answer:

125%

Step-by-step explanation:

5% multipled by 25 years (from 2010 - 2035) = 125%

And i aint never seen to pretty best friendsssss

If emissions continue to increase at this rate, then about 125% higher total emissions will be in 2035 than in 2010.

What is the fundamental principlmultipliediplication?

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

Given that Total emissions of carbon dioxide from the burning of fossil fuels have been increasing at about 5% per year.

Using the approximate formula, we can see that the emissions will increase by a factor of between 2010 and 2035.

Using the exact formula, it can be seen that the emissions will increase by a factor of between 2010 and 2035.

Therefore, 5% multipled by 25 years (from 2010 - 2035)

0.05 x 25 = 125%

If emissions continue to increase at this rate, then about 125% higher total emissions will be in 2035 than in 2010.

Learn more about multiplications;

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At a carnival, Tammy bought 9 packs of 17 tickets each. She has used 36 of the tickets so far. How many tickets does she have left?

㏒㏑⊂·_·⊃㏒㏑

Answers

117 tickets
You multiply the packs of tickets times the number of tickets per pack which will tell you how many tickets she has in total, 9*17=153 then subtract how many tickets she used from the total number of tickets. 153-36 then you will your answer

Yan has already finished Three-fifths of the 45 math problems he was assigned today. Each math problem took him 1Four-fifths of a minute to complete. If this pace continues, how much more time, to the nearest minute, will the rest of the problems take him to finish?

Answers

Answer:

49 Minutes

Step-by-step explanation:

1. 27 = 1 4/5 Minutes per 1 question.

2. Each question takes 108 seconds.

3. By this Logic, we can do 108 seconds x 27 questions to get-

4. 48.6 Minutes

5. And finally we round to the nearest minute so we get 49 minutes in total.

Answer:

32 minutes

Step-by-step explanation:

Sum of two numbers is -32 what number is two less than the other

Answers

First no. = z

Second no. = z - 2

z + (z - 2) = -32

z + z - 2 = -32

2z - 2 = -32

2z = -32 + 2

2z = -30

z = -30/2

z = -15

First no. = -15

Second no. = -17

Find answer to picture problem

Answers

Answer:

Can you add the picture please???

Step-by-step explanation:

Researchers doing a study comparing time spent on social media and time spent on studying randomly sampled 200 students at a major university. They found that students in the sample spent an average of 2.3 hours per day on social media and an average of 1.8 hours per day on studying. If all the students at the university in fact spent 2.2 hours per day on studying, with a standard deviation of 2 hours, the probability of getting a sample average of 1.8 or less is:________.a. 0.5893 b. 0.9977 c. 0.4207 d. 0.0023

Answers

Answer:

d. 0.0023

Step-by-step explanation:

Calculation for the probability of getting a sample average of 1.8 or less

Using this formula

z score =(X-mean)/Standard errror

Where,

Standard error =Standard deviation/√(n)

Let plug in the formula

P(Xbar<1.8)=P(Z<(1.8 hours per day -2.2 hours per day)/(2 hours /√(200))

P(Xbar<1.8)=P(Z<-0.4/(2/14.14))

=P(Z<-0.4/0.1414)

=P(Z<-2.83)

Now let find the Z score of P(Z<-2.83) using the z table

P=0.0023

Therefore the probability of getting a sample average of 1.8 or less is:0.0023

50+100n please awnser thisssssssssssssssssssssssssssssssssssssssssssssssss

Answers

Answer:

5 ( 1 + 20 n )

Step-by-step explanation:

Answer:

Your answer will be 150

Step-by-step explanation:

your answer going to be 150

Bella went shopping for a new phone. To find the total plus tax, she multiplied the price of the phone by 1.075. What percent tax did she pay?

Answers

7.5% because 1.075 is equal to 107.5% but you want to find the tax so subtract the 100 since it’s only tax and u get 7.5%

12 students is what percent of 60 students?

Answers

Answer:

20%

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

I believe it is 20% based on what I know.

Which best describes a polynomial?

Answers

Answer:

an algebraic expression containing one or more terms

Step-by-step explanation:

Jimmy earns money for babysitting his little
brother. He earns the same amount every
week. He is saving all the money he earns for a
summer trip. The table shows how Jimmy's
savings have been growing.

Answers

I need the table and the answer choices to help you though

E. You can see a person in 1/4 the windows, How many people are visable

Answers

Answer:

Step-by-step explanation:

You say that you can see a quarter of a person in a window. You cant have 1/4 of someone so the answer is 0 or 0.25

A 2 yard piece of ribbon costs $10.80. What is the price per inch?

Answers

Answer:

0.15

Step-by-step explanation:

2 yards = 72

10.80 / 72 = 0.15

1 yard is 36 inches. 2 yards is 72 inches. The question wants you to divide $10.80 into the inches that represent the yards. $10.80 / 72 = $0.15

Jay needs to paint one side of his house. He knows 1 can of paint covers and area of 24 square feet. What is the least amount of paint Jay will need to paint the side of his house?

Answers

Answer:

he will need 4 cans to make it 100 %compleate

f(x) = x2 – 2x +1
Find y-intercept and vertex

Answers

Answer:

Your answer is: The x-intercept is [tex](1 , 0)[/tex] and your y-intercept is[tex](0 , 1 )[/tex].

Your vertex is [tex](1 , 0)[/tex]

Step-by-step explanation:

In order to find the y-intercept you had to to find the x-intercept, substitute in 0 for y and solve for x . To find the y-intercept, substitute in 0 for x and solve for y.

In order to find the vertex you had rewrite the equation in vertex form and use this form to find the vertex [tex](h , k)[/tex].

Hope this helped : )

Hii Answer this please :)))((((

Answers

Answer:

C: 4cm, 8cm, 8cm

Step-by-step explanation:

The isosceles triangles have two sides that are the same.

hope this helped

bye

Answer:

C: 4cm, 8cm, 8cm

Step-by-step explanation:

bc i know it i think this the answer

There are 36 carpenters in a crew. On a certain day, 29 were present. What percent showed up for work? (round to the nearest tenth)
(Please answer with explination)

Answers

Answer:

29/36*100 so ans will be 80.55555555555555555555555555555555555555

Step-by-step explanation:

What is the factored form of the equation 4x^2-11+6=0

Answers

Answer:

(4x−3)(x−2)=0

Step-by-step explanation:

4x²-11+6=0

4x²-5=0

x²=5

x=√5

hope it help u

Ratio of red to yellow marbles is 6 to 5 if there are 33 total marbles in the bag how many red

Answers

Answer:

18 red marbles and 15 yellow marbles.

Answer:
red: 18 yellow: 15

explanation
33 divided by 6+5 is 3
multiply by both and there’s ur answer!

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During November, $83 was spent on travel. In December, $65 was spent on travel. How much was the percent of decrease? Round to the nearest tenth of a percent.

Pls Help

Answers

Answer:

Percent decrease is 21.7%

Step-by-step explanation:

The percent decrease is calculated as:

[tex]Decrease\ percentage = \frac{decrease}{Original\ quantity} * 100[/tex]

Given in the question that:

Cost on travel during November = $83

Cost on travel during December = $65

The percent decrease will be calculated by computing decrease(subtracting the cost of December from the cost of November.

[tex]Decrease = Travel\ cost\ in\ November - Travel\ cost\ in\ december\\Decrease = \$83-\$65\\= \$18[/tex]

Now, for percentage decrease

[tex]Percentage\ decrease = \frac{decrease}{Travelling\ cost\ in\ November} * 100\\=\frac{18}{83} * 100\\=21.686..[/tex]

Rounding off to nearest tenth of percent, we get the percentage decrease as 21.7%

Hence,

Percent decrease is 21.7%

which one of the mappings is a function?

Answers

Answer:

the answer is x.

Step-by-step explanation:

the x values are only being used once, therefore, it is a function

Eduardo's football team has won
9/10
of their games this season.
Write
9/10
as a decimal.
Write
9/10
as a percent.

Answers

Answer:

9/10=0.9

9/10=90%

Step-by-step explanation:

Answer:

[tex]\frac{9}{10}[/tex] = 0.9

[tex]\frac{9}{10}[/tex] = 90%

Hope this help!

Subtract using the number line. - 1/3-(-1/2)

Answers

Answer:

answer is 1/1

Step-by-step explanation:

Determine the total number of roots of each polynomial function using the factored form.
f (x) = (x + 1)(x - 3)(x - 4)

Answers

Answer:

3 roots

Step-by-step explanation:

The roots of a function is the x intercepts.

x=-1

x=3

x=4

the are three roots -1,3,and 4

Someone please help answer completely !

Answers

Answer:

the answer is [tex]T=\frac{VP}{8}[/tex]

Step-by-step explanation:

V=[tex]\frac{8T}{P}[/tex]

you need to make T the subject of the formula:

step1: multiply P for both sides.

V=[tex]\frac{8T}{P}[/tex]

VP=8T

step2: divide by 8 for both sides.

T=[tex]\frac{VP}{8}[/tex]

the answer is [tex]T=\frac{VP}{8}[/tex]

Which describes all decimals that are rational numbers?

Tbo dod

Answers

Answer:

Step-by-step explanation:

For starters, rational numbers are any numbers that has the capability to be written as a fraction.

For example, 0.5 is a decimal, and can also be written in form of a fraction, as 1/2

A recurring decimal can be written as a fraction. For example, we have 0.167 which can be written as 1/6

In the example, for the decimal 0.36425, we find the place value of the last digit. The last digit here is 5 placed in the hundred-thousandths place. On simplifying further into a fraction, we have 36425/100000.

ASAP HELP PLEASE ITS IS VERY NEEDED

Answers

Answer:

D. no solution because the other answers if you plug them in dont work

Let u = 2i + 3j, v=-i, and w = 5i – 6j. What is the magnitude of 2(u - V + w)?

•10.0
•13.4
•17.1
•21.6

Answers

Answer:

B. 17.1

Step-by-step explanation:

Edge 2020. Hope this helps.

The magnitude of 2(u-v +w) is √292.

The given vectors are u = 2i + 3j, v=-i, and w = 5i – 6j.

We need to find the value of 2(u-v+w).

How to find the magnitude of vector?

The formula to determine the magnitude of a vector (in two-dimensional space) v = (x, y) is: |v| =√(x²+ y²). This formula is derived from the Pythagorean theorem.

Now, 2(2i + 3j-(-i)+5i-6j)

=2(2i+3j+i+5i-6j)

=2(8i-3j)=16i-6j

The magnitude of 16i-6j=√16²+6²=√256+36=√292

Therefore, the magnitude of 2(u-v +w) is √292.

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Find the equation of the line that is perpendicular to the given line and passes through the given point.

y = − 1/6x − 5; (14, 0)

The equation is y =______.

Answers

Answer:

The equation is y =6x-84.

Step-by-step explanation:

We need to find the equation of the line that is perpendicular to the given line and passes through the given point.

y = − 1/6x − 5; (14, 0)

Slope of required line

The equation of given line [tex]y = - \frac{1}{6} x - 5[/tex] is in slope-intercept form.

Comparing it with general formula of slope-intercept form [tex]y=mx+b[/tex] where m is slope and b is y-intercept. The slope of line m is: -1/6

So, the slope of required line that is perpendicular to given line is 6 because the equation of line that we need to find is perpendicular to the given line, so their slopes will be: [tex]m_1=-\frac{1}{m_2}[/tex]

So, slope = 6

Finding y-intercept of required line

Using slope =6 and point (14,0) we can find y-intercept of required line by slope-intercept formula

[tex]y=mx+b\\0=6(14)+b\\0=84+b\\b=-84[/tex]

Equation of required line:

The equation of required line having slope (m)= 6 and y-intercept (b)= -84 is:

[tex]y=mx+b\\y=6x-84[/tex]

The equation is y =6x-84.

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