On a number line, the directed line segment from Q to S has endpoints Q at a -8 and S at 12 Point R partitions the direct line segment from Q to S in a 4:1 ratio Which expression correctly uses the formula (m/m+n)(x2 - x1) + x1 to find the location of point R?

Answers

Answer 1

Answer:

[tex]R =\frac{4}{4+1}(12 +8) -8[/tex]

Step-by-step explanation:

Given

[tex]QS = (-8,12)[/tex]

[tex]Ratio = 4 : 1[/tex]

Required

Determine the expression that correctly uses [tex]\frac{m}{m+n}(x_2 - x_1) + x_1[/tex]

In [tex]QS = (-8,12)[/tex]

[tex](x_1,x_2) = (-8,12)[/tex]

and

[tex]m:n = 4:1[/tex]

Substitute these values in:

[tex]\frac{m}{m+n}(x_2 - x_1) + x_1[/tex]

[tex]R =\frac{4}{4+1}(12 - (-8)) + (-8)[/tex]

The expression becomes:

[tex]R =\frac{4}{4+1}(12 +8) -8[/tex]

Solving further:

[tex]R = \frac{4}{5}(20)-8[/tex]

[tex]R = \frac{4*20}{5}-8[/tex]

[tex]R = \frac{80}{5}-8[/tex]

[tex]R = 16 - 8[/tex]

[tex]R = 8[/tex]

Hence, R is at 8 on the number line


Related Questions

What is the value of x in simplest radical form?

X=

Answers

Answer:

Step-by-step explanation:

in this triangle

X^2=a^2+b^2

X^2=15^2+8^2

x^2=225+64

x^2=289

x=17

Answer:

X is always equal to 1 no matter the equation. In this it looks like you are using Pyth. Theory. If its not sorry, but X = 1  

Step-by-step explanation:

[tex]A^{2} +B^{2}=C^{2} \\15^{2}+8^{2} \\225+64\\C^{2}=289\\\sqrt289\\C=17[/tex]  

PLEASE ANSWER ASASP AND GIVE BRAINLEST!!!!!!!!!!!!!
The equation c = 2.5t represents the cost, c, for t tickets to the school play. Does a value of 3.5 for t make sense in this situation? Explain your reasoning.

Answers

Answer:

No

Step-by-step explanation:

Number of tickets can only be represented by integer values. A value of 3.5 for t would imply you can purchase three and a half tickets, which isn't possible.

What is the greatest common factor of 43 and 81?

Answers

The greater common factor is 1

Answer: 43=1 81=3 Might not be right. Hope it is.

Which is the equation of the line that passes through the point (-4,3) and (2,6)

Answers

Answer:

[tex]\displaystyle y = \frac{1}{2}x + 5[/tex]

Step-by-step explanation:

Equation of a Line

The point-slope form of the equation of a line is:

y - k = m ( x - h )

Where m is the slope and (h,k) is a point through which the line passes.

Suppose a line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the formula:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

We'll use the points (-4,3) and (2,6), thus:

[tex]\displaystyle m=\frac{6-3}{2+4}=\frac{3}{6}=\frac{1}{2}[/tex]

Now we use the point-slope form using the point (2,6):

[tex]\displaystyle y - 6 = \frac{1}{2}( x - 2 )[/tex]

Operating:

[tex]\displaystyle y - 6 = \frac{1}{2}x - 1[/tex]

[tex]\displaystyle y = \frac{1}{2}x - 1 + 6[/tex]

[tex]\boxed{\displaystyle y = \frac{1}{2}x + 5}[/tex]

36 in.
12 in
10 in.
Х

Answers

the answer is c i believe have a good day

What is an aquifer?
Why is gravity part of the water cycle ?

Answers

Answer:

An aquifer is an underground layer of water-bearing permeable rock, rock fractures or unconsolidated materials. It pulls precipitation down from clouds and pulls water downhill. Gravity also moves air and ocean water. Gravity pulls denser air and water downward, forcing less dense air and water to move upward.

Step-by-step explanation:

2. Encuentra o solocion de la cocasion X²-x-30=0​

Answers

Answer:

Step-by-step explanation:

Por aspa simple:

x²+x-30=0

X       +6

X        -5

(x+6)(x-5)=0

x+6=0

x=-6

x-5=0

x=5

espero te sirva suerte en tus estudios :D

A doctor wants to determine if a new medication for cholesterol is more effective than the previous medication. The doctor informs his patients of the new medication and asks if they want to participate in a study. Patients who are currently taking medication for cholesterol are randomly selected and given the new medication. After two months, the patients’ cholesterol levels are checked.

Which of the following would benefit this experiment the most?

A This experiment should also use the original medication to see if the patients’ cholesterol levels would improve because they believe they are receiving the new medication.

B This experiment should use blinding and a placebo, so patients do not know which treatment they are receiving and to control for the placebo effect.

C This experiment should be single blind, with some patients taking the new medication and some taking the original medication to determine the effects of the new medication. Only the subjects would not know which treatment they are receiving.

D This experiment should be double blind, with some patients taking the new medication and some taking a placebo to determine the effects of the new medication. Neither the subjects nor the technicians checking the cholesterol would know which treatment was given to which group.

Answers

Answer:

its option 3

Step-by-step explanation:

got 100% on it

Blinding and placebo should be used in this experiment to prevent patients from knowing which therapy they are receiving and to account for the placebo effect.

What is the placebo effect?

A person experiences the placebo effect when their physical or mental health seems to get better after receiving a placebo or "dummy" treatment. A treatment that seems to be real but is intended to have no therapeutic benefit is referred to as a placebo.

Given, If a new cholesterol drug is more successful than the old one, a doctor wants to know. The doctor tells his patients about the new drug and inquires about their interest in taking part in a trial. Randomly chosen patients who are already receiving cholesterol medication are given the new drug. The patients' cholesterol levels are assessed after two months.

Treatments with placebos cause the brain to react in a real way. Belief in the efficacy of a treatment can cause the release of neurotransmitters, the synthesis of hormones, and immunological response, which can reduce the symptoms of pain, inflammatory diseases, and mood disorders.

Therefore, In order to keep patients from knowing which therapy they are taking and to take the placebo effect into account, blinding and placebo should be employed in this experiment.

Learn more about the placebo effect here:

https://brainly.com/question/29811617

#SPJ2

What is the best measure of center for this data set?


{101, 2, 108, 104, 102, 107, 109, 102}


A) mean because there is an outlier


B) mean or median because there is no outlier


C) median because there is an outlier


D) mode because there is an outlier

Answers

I believe the answer to your question is b.

use the quadratic formula to solve 2x^2 -1 = 7x, and then verify your answer by graphing​

Answers

Answer:

7+- root 57 / 4

d. 7+root 57/4 , 7-root 57/4 on edg

Step-by-step explanation:

got it right :)

Answer:

D

Step-by-step explanation:

Edge 2021

Evaluate the expression for x = 2 and y = 4. Enter your answer in the box.

16x0 + 2x2 • y –1

Answers

Given that,

The given expression is : [tex]16x^0+2x^2{\cdot}y^{-1}[/tex]

To find,

The value of the above expression when x = 2 and y = 4

Solution,

We have,

[tex]16x^0+2x^2{\cdot}y^{-1}[/tex]

Put x = 2 and y = 4 in the above expression.

[tex]16x^0+2x^2{\cdot}y^{-1}\\\\=16\times (2)^0+2(2)^2\times (4)^{-1}\\\\=16\times 1+2(2)^2\times\dfrac{1}{4}\\\\=16+2\\\\=18[/tex]

So, the value of the above expression is 18.

Jenny's family is having pizza for supper. There are six people in Jenny's family. Jenny's mother has asked her to cut the pizza into six pieces. Type a fraction describing the amount of pizza that each person in the family will receive.

/

Answers

Answer:

1/6

Step-by-step explanation:

1 peice of pizza for each person with a total of 6 peices

(03.01)
The LCM of 3 and 7 is
(2 points)
A
Question 2 (6 points)

Answers

Answer:

The LCM of 3 and 7 is 21

Step-by-step explanation:

I hope it helps ❤❤

Answer:

The LCM of 3 and 7 is 21

Step-by-step explanation:

I hope it helps

okay so plz answer this question step by step,, thank you

Answers

Given:

Total number of students = 20

The marks of the students are 40, 22, 36, 27, 30, 12, 15, 20, 25, 31, 34, 36, 39, 41, 43, 48, 46, 36, 37 and 40.

To find:

The frequency distribution table with class size 10.

Solution:

We have, the marks of 20 students.

40, 22, 36, 27, 30, 12, 15, 20, 25, 31, 34, 36, 39, 41, 43, 48, 46, 36, 37, 40

Here,

Minimum value = 12

Maximum value = 48

We nee class intervals of size 10. So, the required class intervals are 10-20, 20-30, 30-40, 40-50. In these intervals, lower limit is excluded but the upper limit included.

The required frequency distribution table is

Class intervals      Marks                                                  Frequency

10-20                    12, 15                                                            2

20-30                   22, 27, 20, 25                                             4

30-40                   36, 30, 31, 34, 36, 39, 36, 37                      8

40-50                   40, 41, 43, 48, 46, 40                                  6

Total                                                                                        20

Therefore, the frequency distribution table is

Class intervals:      10-20        20-30        30-40         40-50         Total

Frequency      :          2                4                8                6                20

What perfect square that is between 1 and 100 has 27 as one of its factors?

Answers

Answer:

81

Step-by-step explanation:

Its a perfect square and 27*3=81

3n2 + 13n+4= 0
Solve equation by factoring

Answers

Answer:

n = -4, -1/3.

Step-by-step explanation:

3n^2 + 13n+4= 0

3n^2 + 12n + n + 4 = 0

3n(n + 4) + 1(n + 4) = 0

(3n + 1)(n + 4) = 0

n = -4, -1/3.

Help me in please anyone

Answers

Answer:

Y=3/7x+8 and y=-7/3x-34/3(11 1/3)

Step-by-step explanation:

for the perpendicular line, the slope is the opposite inverse (3/7) and since 3/7×-7=-3, -3+8=5, hence, y=3/7x+8.

for the parallel line the slope is the same, and since -7/3×-7=49/3,

and 49/3-15/3(5)=34/3, the equation is y=-7/3-34/3

Find the volume of the cone.

Answers

Answer:

Step-by-step explanation:

volume=1/3 πr²h

=1/3×π×3²×4

=12π ft³

≈37.70 ft³

Answer :37.7 cm³ is the volume of the cone.Explaination :

Here we have to calculate the volume of the cone which is provided in the figure.

As we know that volume of cone is calculated by the formula :

[tex]\orange{\boxed{\bf{V \: = \: \frac{1}{3} \: \pi \:r {}^{2}h }}} [/tex]

Here,

r is radius h is height Value of π is 22/7

We have :

Radius (r) is 3 ft. Height (h) is 4 ft.

Putting the values in the formula :

[tex]\longrightarrow \: \sf{V \: = \: \dfrac{1}{3} \: \pi \:r {}^{2}h } \\ \\ \longrightarrow \: \sf{V \: = \: \dfrac{1}{3} \: \times \dfrac{22}{7} \:(3) {}^{2}(4) } \\ \\ \longrightarrow \: \sf{V \: = \: \dfrac{1}{3} \: \times \dfrac{22}{7} \:(3 \times 3)(4) } \\ \\ \longrightarrow \: \sf{V \: = \: \dfrac{1}{3} \: \times \dfrac{22}{7} \:(9)(4) } \\ \\ \longrightarrow \: \sf{V \: = \: \dfrac{1}{3} \: \times \dfrac{22}{7} \: \times 9(4) } \\ \\ \longrightarrow \: \sf{V \: = \: \dfrac{1}{3} \: \times \dfrac{22}{7} \: \times 9 \times 4 } \\ \\ \longrightarrow \: \sf{V \: = \: \dfrac{1}{ \cancel3} \: \times \dfrac{22}{7} \: \times \cancel9 \times 4 } \\ \\ \longrightarrow \: \sf{V \: = \: \dfrac{1}{1} \: \times \dfrac{22}{7} \: \times 3 \times 4 } \\ \\ \longrightarrow \: \sf{V \: = \: \dfrac{22}{7} \: \times 3 \times 4 } \\ \\ \longrightarrow \: \sf{V \: = \: \dfrac{22 \times 3 \times 4}{7} } \\ \\ \longrightarrow \: \sf{V \: = \: \dfrac{66 \times 4}{7} } \\ \\ \longrightarrow \: \sf{V \: = \: \dfrac{264}{7} } \\ \\ \longrightarrow \: \sf{V \: = \: \cancel\dfrac{264}{7} } \\ \\ \longrightarrow \: \underline{\underline{\red{\bf{V \: = \: 37.7 }}}}[/tex]

The sum of 12 and twice Chrissy's savings

Answers

24 should be your answer

Pls anserw I give point part two :D

Answers

Answer:

The picture is to blurry to read

Step-by-step explanation:

-4=16x what would u do to solve this equation?​

Answers

Answer:

x=-1/4

Step-by-step explanation:

-4/16=16x/16

-1/4=x

A construction company is analyzing which of its older projects need renovation. Building B was built two years before building C. Building D was built two years before building B. The product of the building B’s age and building D’s age is at least 195. If x represents the age of building C, which inequality represents this situation?

Answers

Answer:

x²+6x +8 ≥ 195

Step-by-step explanation:

The age of C is represented by  c=  x .

Building B was built two years before building C.

Age of Building B   b = x+ 2

Building D was built two years before building B

Age of Building d= x+4

The product of the building B’s age and building D’s age is at least 195.

b*d ≥ 195

≥ means product is greater than or equal to 195 at least 195

Putting the values of b and d

(x+ 2) (x+4) ≥ 195

It can be further solved

x²+6x +8 ≥ 195

Answer:

x^2+6x+8>195

Step-by-step explanation:

Suppose a culture of 200 bacteria are put in a petri how many bacteria will be there after 8 hours

Answers

Answer:i DIO! think the answer would be 50

Step-by-step explanation:

if im correct please give me brainly wrrryyyyy... (yes im a weeb)

what is the common difference for the arithmetic sequence 4.7,6,7.3,8.6,9.9

Answers

Answer: 1.3

Step-by-step explanation:

If u subtract 6-4.7 u will get 1.3 and you can also do it for all and u will still get the same answer

(-8 ) – (- 8 ) =. *

1 point

A. 16

B. -16

C. -8

D. 0

Answers

Answer:

D

Step-by-step explanation:

(-8) - (-8) = (-8) + 8 = 0

I hope this answer helped, and if it was correct, please mark this as brainliest! Thank you!

It’s zero because the sum (8) of the two opposites equals zero (correct me if I’m wrong)

PLSSS HELPPP PLEASEEEEEEEEE

Answers

Answer:

1. -21

ill do others in a bit

The answer for 1 is is -21

Q4
25 points
10. Kyra wants to make the area of her
rectangular closet 9 times larger than the size
it currently is. What scale factor should she
use to dilate the dimensions of the closet?
0. Scalefactor of a
b. Scale factor of 6
C. Scale factor of 12
d. Scale factor of 3

Answers

Answer:

The answer would be Scale factor of 3

Evaluate (fg)(x) if f(x) = x2 and g(x) = 3x + 14 when x = -5

Answers

Ghuihgxtyyhbjiiygcvghuj

Answer:

f*g(x) =  -25

Step-by-step explanation:

f*g(x) = f(x) * g(x) = x² * (3x + 14)

f*g(x) = (-5)² * (3*-5 +14) = 25 * (-1) = -25

need help asap pls!!!

Answers

Answer:

16

Step-by-step explanation:

According to the given description, PS is the mid segment of the [tex] \triangle TQR[/tex]

Therefore by Mid-segment Theorem:

[tex]PS = \frac{1}{2} QR \\ \\ PS = \frac{1}{2} \times 32 \\ \\ PS =16 \: [/tex]

tell me the answer to 5/15+67/30=

Answers

Answer: 77/30

Step-by-step explanation:

Hope this helps :)

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