if m 2 =6x+8 and m 6 = 8x-6, find the value of x so that l is parallel to m

Answers

Answer 1

Answer:

[tex]x = 7[/tex]

Step-by-step explanation:

Given

[tex]m_2 = 6x + 8[/tex]

[tex]m_6 = 8x - 6[/tex]

Required

Determine x when both lines are parallel

For parallel lines, slopes must be equal.

i.e.

[tex]m_1 = m_2[/tex]

In this case,

[tex]m_6 = m_2[/tex]

Substitute values for m6 and m2

[tex]8x - 6 = 6x + 8[/tex]

Collect Like Terms

[tex]8x - 6x = 8 + 6[/tex]

[tex]2x = 14[/tex]

Solve for x

[tex]x = 14/2[/tex]

[tex]x = 7[/tex]

Answer 2

Answer:7

Step-by-step explanation:


Related Questions

In a casino in Blackpool there are two slot machines (machine 1 and machine 2): one that pays out 10 % of the time, and one that pays out 20 % of the time. Obviously, you would like to play on the machine that pays out 20% of the time but you do not know which of the two machines is the more generous. You thus adopt the following strategy: you assume initially that the two machines are equally likely to be the generous machine. You then select one of the two machines at random (this turns out to be machine 1) and put a coin into it. Given that you loose that first bet estimate the probability that machine 1 is the more generous of the two machines
What do I know?
What do I want to find out?
What do I expect the answer to be?
How do I go from what I know to what I want to find?
Is the answer consistent with what I expected?

Answers

Answer:

Step-by-step explanation:

From the given information:

We are  told that there exist two machines

Machine 1 and Machine 2

Given that machine 1 pays 10% when it is generous, then the probability  can be computed as:

P(pays | machine 1 is generous) = 0.10

Also, machine 2 pays 20% when it is generous, then the probability that the machine pays 20% when it is generous is :

P(pays | machine 2 is generous) = 0.20

However, the two machines have an equal chance of being generous.

Therefore, the probability that machine 1 is generous is equal to the probability that machine 2 is also generous.

i.e.

P( machine 1 is generous) = P( machine 2 is generous) = 0.50

The first objective is to find the probability that the machine 1 is generous, given that the player loses the first bet.

i.e. P (machine 1 is generous | but lost)

Thus, we know that the probability that the machine is generous is = 0.5, therefore, the probability that the machine is generous is 50% when he loses the first bet.

Therefore, to find the probability that the machine 1 is generous | but lost, we have:

[tex]\mathbf{P(machine \ 1 \ is \ generous | lost) = \dfrac{P(machine \ 1 \ is \ generous \ \cap lost )}{P(lost)} }[/tex]

Let:

P(lost | machine 1 is generous) = A

P(machine 1 is generous) = B

P (Pays | machine 1 is generous ) = C

P(Pays | machine 2 is generous )  = D

P(machine 2 is generous) = E

[tex]\mathbf{P(machine \ 1 \ is \ generous | lost) = \dfrac{(1 - C) \times B}{ (1 - C) \times B + (1 - D) \times E} }[/tex]

[tex]\mathbf{P(machine \ 1 \ is \ generous | lost) = \dfrac{(1 - 0.10) \times 0.50}{ (1 - 0.10) \times 0.50 + (1 - 0.20) \times 0.50} }[/tex]

[tex]\mathbf{P(machine \ 1 \ is \ generous | lost) = \dfrac{0.45}{0.85}}[/tex]

[tex]\mathbf{P(machine \ 1 \ is \ generous | lost) =0.5294}[/tex]

Thus, the probability that machine 1 loses the first bet but it is generous = 0.5294

Thus, since the answer is close to 0.50, we say that the answer is consistent with what is expected.

a b c d or d helpp pleas!

Answers

Answer:

The answer is B

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The rates of b, c, d make sense in relation to each other. A is the only one dealing with decimal points; whilst the other numbers are dealing with the same x and y values just different sized graphs.

123.456 RONDED TO THE NEAREST HUNDREDTH.

Answers

123.456 RONDED TO THE NEAREST HUNDREDTH.

Answer:

123.46

Answer:

123.46 is probably the answer

6 1/2 divided 3/8 of goldfish crackers

Answers

Answer:

I think it is 8

Step-by-step explanation:

6 1/2 divided by 3/8 = 8

hope this helped

Luca had a large container of yogurt with 1 and StartFraction 5 Over 8 EndFraction pounds of yogurt left in it. If a serving of yogurt is StartFraction 3 Over 8 EndFraction of a pound, to the nearest whole serving, how many servings of yogurt are in the container?

Answers

Answer:There are 4 serving in the container.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Took Edge 2020 Fraction Multiplication and Division Test

Which of the following is a true statement?
6/9 = 1/3
1/4 > 1/3
13/15 > 4/5
5/6 > 10/12

Answers

Answer:

13/15 > 4/5 is a true stament.

Step-by-step explanation:

The left side is 0.86 repeating turned into a decimal. which means 0.86 is greater than the right which the right is 0.8 turned into a decimal. which in this case this means that the given stament is always true.

PLEASE HURRY AND HELP ME!!!!
The number, u, of tickets sold for an upcoming concert is four times the number, w, of tickets sold for the last concert.

Which equation best represents this situation
A U= w + 4
B U=W + 4
C U= 4W
D U= 4U

Answers

Answer:

C

Step-by-step explanation:

just cuz I said buster

The answer C
Because (4W) means (4 x W)

PLEASE HELP PLEASE!!
Complete the following statement to estimate the root of 75 to the nearest tenth. Use numbers that are closest to the root of 75

Answers

the square root of 75 is 8.66, so it would be between 8 and 9

Over the past few years, there has been a strong positive correlation between the annual consumption of diet soda drinks and the number of traffic accidents.


(a) Do you think increasing consumption of diet soda drinks causes traffic accidents? Explain your answer.


No. A strong correlation implies causation.

No. A strong correlation does not imply causation.

Yes. A strong correlation does not imply causation.

Yes. A strong correlation implies causation.



(b) What lurking variables might be causing the increase in one or both of the variables? Explain your answer.

Answers

Answer:No. A strong correlation does not imply causation.

Step-by-step explanation:

Cause and effect relationship is not explained by correlations. A cause and effect relationship can only be established by carrying out carefully controlled experiments.

Hence, a strong correlation between the the intake of soda and accidents does not necessarily imply that soda intake causes accident.

A lurking variable in this study may be the speed of the drivers. A lurking variable is not controlled but significantly impacts results obtained from the study.

Since the speed of the drivers is not strictly controlled, it may just be a lurking variable.

Three people are traveling and need to exchange the currency of their native country

for the currency of the country they are visiting. Drag each exchange to the category

that shows the ratio of currencies in that exchange.

CLEAR

U.S. Currency Foreign

(in dollars) Currency

25.00

15.75

U.S. Currency

(in dollars)

73.00

Foreign

Currency

81.03

U.S. Currency

(in fllars)

20.00

Foreign

Currency

22.20

U.S. Currency Foreign

(in dollars) Currency

30.00 21.90

U.S. Currency

in dollars)

50.00

Foreign

Currency

36.50

1 U.S. dollar per 1.11

72 dollar

Australian dollar

tban

Answers

Answer:

Step-by-step explanation:

1. Exchange rate = 1 U.S. dollar per 0.9009 foreign currency

i. U.S. Currency (in dollars) = 73.00

   Foreign currency = 81.03

ii. U.S. Currency (in dollars) = 20.00

   Foreign currency = 22.20

2. Exchange rate = 1 U.S. dollar per 1.3699 foreign currency

i. U.S. Currency (in dollars) = 30.00

   Foreign currency = 21.90

ii. U.S. Currency (in dollars) = 50.00

   Foreign currency = 36.50

3. Exchange rate = 1 U.S. dollar per 1.5873 foreign currency

i. U.S. Currency (in dollars) = 25.00

   Foreign currency = 15.75

4. Exchange rate = 1 U.S. dollar per 1.11 Australian dollar

i. U.S. Currency (in dollars) = 72.00

   Equivalent Australian dollar = 72.00 x 1.11 = 79.92

Answer:

?

Step-by-step explanation:

Between which pair of numbers is the of exact product
379 and 8

Answers

Answer:

3032

Step-by-step explanation:

379 x 8 = 3032

use math, also box method

montha
28. The driving distance from Boston, MA,
to Colorado Springs, CO, and back again
is 4,084 miles. A salesperson has already
made the trip back and forth twice. A
salesperson may drive up to 12,500 miles
each month. Can she make the trip again
and remain below the monthly miles
allowed? If so, how many miles will she
have left for the month?
Tonic 2 Ilesson 3-8

Answers

Answer:

Step-by-step explanation:

Homework Weekend Create a short story.

Three partners started a business with a joint capital of rs 1200000 if they invested in the ratio of 2:5:3 , how much did each invest​

Answers

Number of business partners who started a business = 3

The total money they invested = 1200000

The ratio in which they invested = 2 : 5 : 3

Total number of parts = 2 + 5 + 3 = 10

Each part = 1200000 ÷ 10

Each part = 120000

Number of parts invested by one of the partners = 2

Money they invested = 120000 × 2

Money they invested = 240000

Number of parts invested by another partner = 5

Money another partner invested = 120000 × 5

Money they invested = 600000

Number of parts invested by the third partner = 3

Money invested by the last partner = 120000 × 3

Money they invested = 360000

Therefore , each of the partners invested 240000 , 600000 and 360000 rupees respectively .

Please Help!!!! Please please help me it’s not hard but I don’t know how!!

Answers

It’s number 1 I think

Answer:

Step-by-step explanation:

1

180-72=108

108-82=26

x=26

2

1580-30=150

150-82=68

x=68

please help! :( i dont understand

Answers

so, you would dissect the shape by continuing to draw a line below the line with an eight to make a triangle and rectangle. we already know the perimeter of the sides we have (62) but we are missing the long side. so, you would have to find the pythagorean theorem of the right triangle using a^2 + b^2 equal c^2. we have a and b (20 and 10) so continue to solve the equation until you get about 22.3606 for the longest side. add that to 62 and get about 84.36 as the final answer. i hope this wasn’t confusing.

Vickie bought 54 tickets for a ride at an amusement park.each ride cost 3 tickets and Vickie has been on x rides so far.which expression to the number of tickets that Vickie has left?

Answers

Answer: 18

Steps: 54/3=18

1 8

3/54

-3

24

-24

0

Two lines in the same plane that do not intersect are.
A.line segment
B.perpendicular
C.parallel
D.midpoint

Answers

The answer is c they’re parallel

Three times two less than a number is greater than or equal to five times the number. Find all of the numbers that satisfy the given conditions.
Let n = a number. Choose the inequality that represents the given relationship.

Answers

The inequality I believe is 3(n-2) >5n

P.S Make sure to put a line under the inequality sign to represent greater than or equal to ;)

Answer:

D on edge

3(n – 2) ≥ 5n

Step-by-step explanation:

the next question's answer is  B

Convierte a fracción: -7/8 porfavor ayudenmeeeeeee

Answers

it's already a fraction tho.

Simplify powers of i.
ASSIGNMENT
Simplify each of the following powers of i.
I^32

Answers

Answer:

i^15=-i

i^32=1

1^99=-i

i^22=-1

hope this helps :)

im sorry for the late answer, i put all the answers incase some one needs them, have a nice day!

Step-by-step explanation:

Answer: The answer is "1".

Step-by-step explanation:

Correct on edgen.

Which angle are vertical to each other

Answers

The angles opposite each other when two lines cross. They are always equal. In this example a° and b° are vertical angles

Which graphed matches the equation y+ 6 =
5 = 2 x + 4)?

Answers

Can you upload a picture of the graphs?

4. What is the equation of the line?​

Answers

Answer:   y= -1/2x + 1  

Step-by-step explanation:

The equation will be represented in slope intercept form because the line is not going through the origin.

Find two points on the line and use them to find the slope since we already know that the y-intercept is 1 because that is where the line intersects the y-axis.

The points  (0,1)  and (2,0)  will be used to find the slope because it is on the line.

The slope will be the difference between the  y coordinates divided by the difference of the x coordinates.  

1- 0 = 1

0 - 3 = -2

Slope:  -1/2  

The equation will be  y= -1/2x + 1

Find the values of x and y.

x=

Answers

x = 40°
y = 6

hope this helps!

Explain the primary functions of descriptive and inferential statistics.

Answers

Answer:

Descriptive statistics uses the data to provide descriptions of the population, either through numerical calculations or graphs or tables. Inferential statistics makes inferences and predictions about a population based on a sample of data taken from the population in question.

find three solutions for the linear equation 4x-3y=1

Answers

Answer:

one solution for that is 1

Step-by-step explanation:

subtract 4 from both sides, then your left with -3y and -3, then you divide -3 by -3 and you get 1.

I hope that made sense:)

Pls pls Pls pls Pls Pls help me pls pls pls pls pls pls ASAP pls pls pls Pls pls Pls pls Pls Pls help me pls pls pls pls pls pls ASAP pls pls pls I WILLLL GIVVVE BRAINLIEST!!!!!

Answers

Answer:

3(x-2)+6=6x-9

[tex]3x - 6 +6 =6 x - 9 \\ 3x - 6x = - 9 \\ - 3x = - 9 \\ x = - 9 \div - 3 = 3[/tex]

the range of absolute value
of sinx​

Answers

9514 1404 393

Answer:

  [0, 1]

Step-by-step explanation:

The sine function can take on any value between -1 and 1. Then the absolute value of the sine function will have a range from 0 to 1, inclusive.

In interval form, the range of sin(x) is [0, 1].

Unnithan, Houser, and Fernhall (2006) were interested in whether playing the game Dance Dance Revolution (DDR) met the American College of Sports Medicine recommendations for exercise to improve cardiovascular health. Twenty-two adolescents, 10 of whom were classified as overweight and 12 of whom were not overweight, played DDR for 12 minutes. During the 12 minutes, the researchers measured each participant's heart rate. On average, the researchers found no difference between the heart rates of the two groups. Both groups' heart rates were above the minimum recommended for cardiovascular exercise. Which of these requires an inferential statistic?

Answers

Answer:

The conclusion that both groups of overweight and non - overweight got cardiovascular benefit from playing DDR games requires Inferential statistics.

Step-by-step explanation:

Inferential statistics is simply a type of research statistic whereby a generalized conclusion is made about a larger group based on representative observations

Now,in the given question, we see that both group hearts were above the minimum recommended for cardiovascular exercise. Now we can infer that the DDR games played by both groups gave them cardiovascular benefits. This conclusion is an example of Inferential statistics where we generalize about a large population based on observations from a small sample.

Thus the conclusion that both groups of overweight and non-overweight got cardiovascular benefit from playing DDR games requires Inferential statistics.

Help me out please I need it

Answers

Answer:

what do you need help with you did not provide a picture or any evidence

Step-by-step explanation:

step-by-step explanation

What for you need help on? Also can you give me brainliest? Sorry I rlly need it but if you can’t that is totally fine :D
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