¿Qué valor de m creará un sistema de líneas paralelas sin solución? y = mx - 6 8 x - 4 y = 12 Una cuadrícula de coordenadas con una línea etiquetada como 8 x menos 4 y es igual a 12. La línea pasa por un punto en (0, menos 3), (1, menos 1) y un punto en (1,5, 0). - 2 - 2

Answers

Answer 1

Answer:

Hello,

m=2

(0,-3) True

(1,-1) True

(1.5,0) True

(-2,-2) False

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}y&=&mx-6\\8x-4y&=&12\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}y&=&mx-6\\y&=&2x-3\\\end{array}\right.\\\\\\The\ slope\ must\ be\ the\ same:\ m=2\\\\\\\begin{array}{c|c}&y=2x-3\\---&--------\\x&y\\0&2*0-3=-3\\1&2*1-3=-1\\1.5&2*1.5-3=0\\-2&2*(-2)-3=-7\\\end{array}[/tex]


Related Questions

ef is the median of trapezoid abcd (please explain the answer im so confused lol)

Answers

Step-by-step explanation:

Okay, so...

The Median of a trapezoid is directly in the middle. For some weird mathimatical reason you won't ever need to know unless it's on an exam or you become a math major, its midsegment is the average of the top length and the bottom length.

In other words,

EF = ( BC + AD ) / 2

So for part 1, we can use that equation to find x.

[tex]EF = ( BC + AD ) / 2[/tex]

Insert known equations.

[tex]4x-18=[(x+12)+(3x-4)]/2[/tex]

Simplify within parentheses.

[tex]4x-18=[x+12+3x-4]/2[/tex]

[tex]4x-18=[x+3x+12-4]/2[/tex]

Add.

[tex]4x-18=[4x+8]/2[/tex]

Divide.

[tex]4x-18=2x+4[/tex]

Simplify.

[tex](4x-2x) +(-18+18)=(2x-2x)+(4+18)[/tex]

[tex]2x=22[/tex]

Divide both sides by 2.

[tex]x=11[/tex]

Part 2 is a lot easier now. All we have to do is plug in 11 for x.

[tex]BC =x+12[/tex]

[tex]BC = 11+12[/tex]

[tex]BC = 23[/tex]

-

[tex]AD = 4x-18[/tex]

[tex]AD = 4(11)-18[/tex]

[tex]AD = 44-18[/tex]

[tex]AD = 26[/tex]

-

[tex]EF = 3x-4[/tex]

[tex]EF = 3(11)-4[/tex]

[tex]EF = 33-4[/tex]

[tex]EF = 29[/tex]

Answer:

Part I: x = 11

Part II:

BC = 23AD = 26EF = 29

_(9)=(2(1-2(2)^(9)))/(1-2(2))


PLEASE HELP ME OUT.

Answers

Answer:

the answer = um ok

Step-by-step explanation:

Find the general solution for:-

[tex]sin\:x \:cos\: 3x+cos\:x\: sin\:3x=tan140[/tex]


~Please show your work
~Thank you!

Answers

Answer:

[tex] \rm \displaystyle x \approx \bigg \{ {59.3}^{ \circ} + \frac{n\pi}{2} , - {14.3}^{ \circ} + \frac{n\pi}{2} \bigg \}[/tex]

Step-by-step explanation:

we would like to solve the following trigonometric equation:

[tex] \rm \displaystyle \sin(x) \cos(3x) + \cos(x) \sin(3x) = \tan( {140}^{ \circ} ) [/tex]

the left hand side can be rewritten using angle sum indentity of sin which is given by:

[tex] \rm \displaystyle \sin( \alpha + \beta ) = \sin( \alpha ) \cos( \beta ) + \cos( \alpha ) \sin( \beta ) [/tex]

therefore Let

[tex] \alpha = x[/tex][tex] \beta = 3x[/tex]

Thus substitute:

[tex] \rm \displaystyle \sin(x + 3x) = \tan( {140}^{ \circ} ) [/tex]

simplify addition:

[tex] \rm \displaystyle \sin(4x) = \tan( {140}^{ \circ} ) [/tex]

keep in mind that sin(t)=sin(π-t) saying that there're two equation to solve:

[tex] \begin{cases} \rm \displaystyle \sin(4x) = \tan( {140}^{ \circ} ) \\ \\ \displaystyle \sin(\pi - 4x) = \tan( {140}^{ \circ} ) \end{cases}[/tex]

take inverse trig and that yields:

[tex] \begin{cases} \rm \displaystyle 4x= { \sin}^{ - 1} ( \tan( {140}^{ \circ} ) ) \\ \\ \displaystyle \pi - 4x = { \sin}^{ - 1}( \tan( {140}^{ \circ} ) ) \end{cases}[/tex]

add π to both sides of the second equation and that yields:

[tex] \begin{cases} \rm \displaystyle 4x= { \sin}^{ - 1} ( \tan( {140}^{ \circ} ) ) \\ \\ \displaystyle - 4x = { \sin}^{ - 1}( \tan( {140}^{ \circ} ) ) + \pi\end{cases}[/tex]

sin function has a period of 2nπ thus add the period:

[tex] \begin{cases} \rm \displaystyle 4x= { \sin}^{ - 1} ( \tan( {140}^{ \circ} ) ) + 2n\pi\\ \\ \displaystyle - 4x = { \sin}^{ - 1}( \tan( {140}^{ \circ} ) ) + \pi + 2n\pi\end{cases}[/tex]

divide I equation by 4 and II by -4 which yields:

[tex] \begin{cases} \rm \displaystyle x= \frac{ { \sin}^{ - 1} ( \tan( {140}^{ \circ} ) ) }{4} + \frac{n\pi}{2} \\ \\ \displaystyle x = - \frac{{ \sin}^{ - 1}( \tan( {140}^{ \circ} ) ) + \pi}{4} - \frac{n\pi}{2} \end{cases}[/tex]

recall that,-½(nπ)=½(nπ) therefore,

[tex] \begin{cases} \rm \displaystyle x= \frac{ { \sin}^{ - 1} ( \tan( {140}^{ \circ} ) ) }{4} + \frac{n\pi}{2} \\ \\ \displaystyle x = - \frac{{ \sin}^{ - 1}( \tan( {140}^{ \circ} ) ) + \pi}{4} + \frac{n\pi}{2} \end{cases}[/tex]

by using a calculator we acquire:

[tex] \begin{cases} \rm \displaystyle x \approx - {14.3}^{ \circ} + \frac{n\pi}{2} \\ \\ \displaystyle x \approx {59.3}^{ \circ} + \frac{n\pi}{2} \end{cases}[/tex]

hence,

the general solution for: for the trig equation are

[tex] \rm \displaystyle x \approx \bigg \{ {59.3}^{ \circ} + \frac{n\pi}{2} , - {14.3}^{ \circ} + \frac{n\pi}{2} \bigg \}[/tex]

Select the false statement
A. Vertical angles are always congruent
B.Vertical angles are sometimes complimentary
C.Two right angles are always supplementary
D. Angles that form a linear pair are sometimes supplementary. Plz answer ASAP

Answers

Answer: D. Angles that form a linear pair are sometimes supplementary.

That is not true, linear pairs are always supplementary.

Answer:

D. Angles that form a linear pair are sometimes supplementary.

~OAmalOHopeO

mary stated that 2.01 x 10⁶ is less than 4.8 x 10⁴ because 2.01 is less than 4.8. what was mary's mistake ?

I'm horrible at scientific notation so some help would be nice. =]​

Answers

Answer:

Step-by-step explanation:

Scientific notation is always written as a number between 1 and 9.9999999 repeating. There follows a power of 10. I'm not sure which answer would help you see it clearer but

4.8 * 10^4 the decimal is shifted 4 places the right which is 48000 where you have no numbers, you use zeros.

2.01 * 10^6 means that you shift the decimal 6 places to the right.

2010000

So 2 million is larger than 48 thousand.

The other way to do it is just to look at the power. 6 is more than 4. 6 describes the number of places you move. So does 4. 6>4 so that's the larger number.

Identify the equation of the circle that has its center at (16, 30) and passes through the origin

Answers

To solve this question, we have to find the equation of the circle with given center and where it passes. Doing this, we get that the equation of the circle is:

[tex](x - 16)^2 + (y - 30)^2 = 1156[/tex]

Equation of a circle:

The equation of a circle with center [tex](x_0, y_0)[/tex] and radius r is given by:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

Center at (16, 30)

This means that [tex]x_0 = 16, y_0 = 30[/tex]

Thus

[tex](x - 16)^2 + (y - 30)^2 = r^2[/tex]

Passes through the origin:

We use this to find the radius squared, as this means that [tex]x = 0, y = 0[/tex] is part of the circle. Thus

[tex](x - 16)^2 + (y - 30)^2 = r^2[/tex]

[tex](0 - 16)^2 + (0 - 30)^2 = r^2[/tex]

[tex]r^2 = 16^2 + 30^2 = 1156[/tex]

Thus, the equation of the circle is:

[tex](x - 16)^2 + (y - 30)^2 = 1156[/tex]

For another example to find the equation of a circle, you can look at https://brainly.com/question/23719612

Which statement is true about the given function?

Answers

Answer:

it's the 3rd option

Step-by-step explanation:

f(x) 0 over the intervals (–∞ –3)

Hope it's right

How do you express a gain of 4 yards in a football game as a rational number?


OA 4.5 yards
OB. 4 yards
OC. yards
OD. - yards
OE-4 yards

PLEASE HELP​

Answers

Answer:

B- 4 yards

4 is a rational number along with the number of yards gained.

Is the collection of nice Nepali songs a set ? Why ?​

Answers

Answer:

kun vannu vayeko hoo bujena ni saathi yo question complete xa ta.

Answer:

Is the collection of nice Nepali songs a set ? Why ?

=⟩ yes the collection of nice Nepali songs a set Because it can be collected on bracket .

A stereo has a cash price of $850. It can be bought for a deposit of $200 and 12 monthly installments of $70. calculate the hire purchase price​

Answers

Step-by-step explanation:

Marie has decided to start saving for a down payment on her home. If she puts $1,000 every quarter for five years into a GIC earning 6% compounded monthly she will have $20,979.12. She will make her first deposit three months from now.

Laroquette Holdings needs a new $10 million warehouse. Starting today the company will put aside $139,239.72 every month for five years into an annuity earning 7% compounded semi-annually.

Brenda will lease a $25,000 car at 3.9%

The required amount that is paid on hire price is $190.

Given that,
A stereo has a cash price of $850. It can be bought for a deposit of $200 and 12 monthly installments of $70.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Total price = $850
Total paid = 200 + 70×12
Total paid = $1040
Total extra pay = 1040 - 850 = $190.

Thus, the required amount that is paid on hire price is $190.

Learn more about arithmetic here:

https://brainly.com/question/11559160

#SPJ2

See pic below! Need help solving

Answers

Answer:

383.54 m

Step-by-step explanation:

The length of the training track running around the field = circumference of the circle formed by the two semicircles + 2(length of the rectangle)

The two semicircles forms a fill circle with diameter (d) = width of rectangle = 61 m

Length of rectangle (L) = 96 m

π = 3.14

The length of the training track running around the field = πd + 2(L)

Substitute the values

The length of the training track running around the field = 3.14*61 + 2(96)

= 191.54 + 192

= 383.54 m

Can u help solve this

Answers

Answer:

Sure:)! the answer is-487.5

Step-by-step explanation:

1.3x3xr^31.3x3=3.93.9r^3r=55x5x5=1253.9x125=487.5

As said in the problem pie=3 as determined in the problem. Hence, the answer is 487.5

Hope this helps :)!

Step-by-step explanation:

[tex]volume = \frac{4}{3} \pi \: {r}^{3} \\ = here\pi = 3 \\ then \: v = \frac{4}{3} \times 3 \times {5}^{3} \\ = 4 \times 125 \\ = 500 {in}^{3} \\ thank \: you[/tex]

The length of a small rectangular room is "6 more than the width" and the area of the room is 27 square units. Which of the following represents the dimensions of the room?

Answers

Step-by-step explanation:

sL=6+W

A=27square

A=L×W

=(6+w) ×W

what is a fraction between 1/31 and 1/22?​

Answers

~Fraction

__________

Step-by-step explanation:

Q = { 1/31 < x < 1/22 }

Q = { 1/30, 1/29, 1/28, 1/27, 1/26, 1/25, 1/24, 1/23 }

#mathisfun

help please area geometry !!

Answers

Answer:

37.5 cm^2

Step-by-step explanation:

The area of a parallelogram is

A = bh  where b is the base and h is the height

A = 7.5 * 5

A = 37.5 cm^2

Answer:

A = 37.5 cm²

Step-by-step explanation:

The area of a parallelogram is calculated as

A = bh ( b is the base and h the perpendicular height )

Here b = 7.5 and h = 5 , then

A = 7.5 × 5 = 37.5 cm²

PLZZZZZZ HELPPPPPP!!!!!!!!!

Answers

Answer:

1 3/8 ft. tall.

Step-by-step explanation:

First, we need to find a common denominator between the two fractions.

8 is already a common denominator of 2, so convert 1/2 into 4/8.

Then add 7/8 and 4/8 to get 1 3/8 ft. tall.

Hope this helps.

If there is something wrong, just let me know.

At a particular school, all students participate in at least one out of three activities: debate, music, and community service. 3 students do all three activities, 21 students do two or more activities, half of all students participate in music, and the ratio of participants in debate, music, and community service, respectively, is $5:4:3$. What is the total number of students at the school

Answers

Answer:

48

Step-by-step explanation:

The given parameters are;

The activities in which the students of the school participate = 1) Debate, 2) Music, and 3) Community services

The number of students that do all three activities = 3

The number of students that do two or more activities = 21

The number of the students that participate in music = Half of the students

The ratio of the students that take part in debate, music, and community service = 5 : 4 : 3

Let x represent a common number factor of participants in each of the given three activities, we have;

5·x participate in debate, A

4·x participate in music, B

3·x participate in community service, C

We get;

The sum of the students in the school = A∪B∪C = A + B + C - A∩B - A∩C - B∩C + A∩B∩C

Given that the number of students that do two or ore activities = 21, we have;

(A∩B)∪(A∩C)∪(B∩C) = 21

However, we have;

(A∩B)∪(A∩C)∪(B∩C) = (A∩B) + (A∩C) + (B∩C) - A∩B∩C - B∩A∩C - C∩B∩A + A∩B∩C

∴ 21 = (A∩B) + (A∩C) + (B∩C) - 3 - 3 - 3 + 3

(A∩B) + (A∩C) + (B∩C) = 21 + 3 + 3 + 3 - 3 = 21 + 6 = 27

∴ -(A∩B) - (A∩C) - (B∩C) = -27

Therefore;

A + B + C - A∩B - A∩C - B∩C + A∩B∩C = 5·x + 4·x + 3·x - 27 + 3

5·x + 4·x + 3·x - 27 + 3 = 12·x - 24

The total number of students = A∪B∪C = 12·x - 24

The number of students participating in music, B = 4·x = Half the total number of students = (12·x - 24)/2

∴ 4·x = (12·x - 24)/2

8·x = 12·x - 24

12·x - 8·x = 24

4·x = 24

x = 24/4 = 6

The total number of students at the school = 12·x - 24 = 12 × 6 - 24 = 48

Can someone help me with this plz plz pls

Answers

56/11=5.09090909090.......

50/9=5.5555........

7/9=0.777777.......

A sports scientist has made the formula below that gives the energy in joules provided,
e
per
ml
,
a
consumed of a power drink.



e=a×0.2



Substitute in
660
for the amount consumed,
a
, in an energy shake and give the energy provided,
e
.

Answers

Gotta space it better but I think it’s .35

The graph below shows a proportional relationship between y and x .
What is the constant of proportionality?
y/x?

Answers

Answer:

49/1

Step-by-step explanation:

The point is on (1,49)

Find the measure of one interior angle for the following regular polygon

Answers

To find the sum of the interior angles you use the formula (n-2)(180), where n is the number of sides. In this case, the number of sides is 12, so you get 1800 degrees. Then you divide by number of angles which is 12. So your answer is 150 degrees.

Tickets for the school dance are $5. At that price, 300 students go to the dance. A survey of the students shows that if the ticket price goes up by $0.50, the number of students going to the dance decreases by 30. What is the optimum ticket price?

Answers

Answer:

The optimal price should be $10 which will result in maximum revenue.

Step-by-step explanation:

y = [5+ 0.5x] [ 300 - 30x]

y = 1500 - 150x + 150x - 15x^2

y = 1500 - 15x^2

x^2 = 1500 /15

x = [tex]\sqrt{100}[/tex]

x = 10

If the diameter of a cylinder is 18 inches, the radius of the cylinder is 9 inches.

True False

Answers

Answer:

True

Step-by-step explanation:

A cylinder has two circles as its bases, and the diameter formula is:

2r = d

So if you plug in:

2r = 18

---    ---

2     2

r = 9

So it will be true.

Hope this helped.

Two friends go to a Mexican restaurant for lunch. One friend orders 1 soft taco and
3 burritos and his bill was $8.75. The other friend's bill was $10.00 and he ordered 4
soft tacos and 2 burritos. What is the cost of a taco and what is the cost of a
burrito?
The cost of a taco is:
The cost of a burrito is:

Answers

Answer:

cost of a taco: $1.25

cost of a burrito: $2.50

Step-by-step explanation:

Let the cost of a taco be $t and the cost of a burrito be $b.

t +3b= 8.75 -----(1)

4t +2b= 10

Divide both sides by 2:

2t +b= 5

Making b the subject of formula:

b= 5 -2t -----(2)

Substitute (2) into (1):

t +3(5 -2t)= 8.75

Expand:

t +3(5) +3(-2t)= 8.75

t +15 -6t= 8.75

t -6t= 8.75 -15

-5t= -6.25

t= -6.25 ÷(-5)

t= 1.25

Substitute t= 1.25 into (2):

b= 5 -2(1.25)

b= 5 -2.5

b= 2.50

Thus, the cost of a taco is $1.25 and the cost of a burrito is $2.50.

Since opening night, attendance at Play A has increased steadily, while attendance at Play B first rose and then fell. Equations modeling the daily attendance y at each play are shown below, where x is the number of days since opening night. On what day(s) was the attendance the same at both plays? What was the attendance?

Play A: y=25x+136
Play B: y=-x^2+44x+76

Answers

Answer: Day 4 and 15

Step-by-step explanation:

Set up system of equations:

[tex]25x+136=-x^2+44x+76[/tex]

Simplify:

[tex]x^2-19x+60=0[/tex]

Factor: Both factors must be positive as the days can only be natural numbers.

[tex](x-15)(x-4)=0[/tex]

x=4,15

Solve for F. Round to the nearest tenth, if necessary.
19
1389
х
Answer: =
Submit Answer
attempt 1 out of 2
PLS HELP

Answers

Answer:

24.3

Step-by-step explanation:

tan(theta) = P/B

tan(38) = 19/x

x=19/tan(38)=24.3

After two people answer one of my questions, how do I give brainlyist to one of them?

Answers

Vas happenin!
Hope your day is going well

Once two people answer your question there at the top of the question that they answer should have a crown and the words mark the Brainliest. Then it will go yellow when you mark it and it will also give you points

do what you want ok and choose

A transformation of AKLM results in AK'L'M'.
Which transformation maps the pre-image to the image?
O dilation
O translation
O reflection
O rotation
K
K
M
M

Answers

The transformation that maps the pre-image to the image is given as follows:

Dilation.

How to identify the transformation?

The four types of transformation listed in this problem cause these following changes:

Translation: only the position of the figure changes, the orientation, the inclination and the side lengths remain constant.Reflection: The orientation of the figure changes.Rotation: The inclination of the figure changes.Dilation: The side lengths of the figure change, while the angle measures remain constant.

From the image, we get that the side lengths were doubled, while the angle measures remained constant, meaning that the transformation is a dilation and the first option is the correct option.

More can be learned about transformations at https://brainly.com/question/28792248

#SPJ1

Answer:

dilation

Step-by-step explanation:

took the test

find the quantity whose 15% in 220​

Answers

Answer:

Step-by-step explanation:

[tex]\frac{15}{100}*220=\frac{15}{10}*22=3*11 = 33[/tex]

PLEASE HELP! I HAVE BEEN AT THIS FOR A LONG TIME!.

For each investement, 25 000 is deposited in an account. How much is each payment?

(a. 8% per annum, compounded annually, with annual payments starting in a year.

Answers

Answer:

Annual payment wil be 2,001 and total amount after compounded annually will be 27,001

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We went with Mr. Shimerda back to the dugout, wheregrandmother was waiting for me. Before I got into thewagon, he took a book out of his pocket, opened it,and showed me a page with two alphabets, oneEnglish and the other Bohemian. He placed this bookin my grandmother's hands, looked at her entreatingly,and said, with an earnestness which I shall neverforget, "Te-e-ach, te-e-ach my Antonia!"Which theme is best supported by the descriptivedetails in this passage from My Antonia?Many immigrants have limited education.Education is important to Mr. Shimerda.Education is part of the dream of immigrants.Antonia is not a good student. 155 35 x x = ? what did Ganeshman Singh mean when he said history cannot be bent 2. Find 3 rational number between: 1) -5 and -6 2) ( -1/7) and (1/8)i need steps explanation also pls guys Northberg Company is preparing a cash budget for August. The company has $16,000 cash at the beginning of August and anticipates $126,000 in cash receipts and $134,500 in cash payments during August. Northberg Company wants to maintain a minimum cash balance of $15,000. To maintain the $15,000 required balance, during August the company must: Group of answer choices Borrow $15,000. Repay $7,500. Repay $8,500. Borrow $7,500. Borrow $8,500. Higher customer satisfaction and more efficient use of resources are impacts of businesses that operate with a _______a: cost saving motiveb: customer service motivec: efficiency motived: profit motive what is 13.5/10 simplified Calculate the Standard Deviation of the following set of data. 14, 15, 16, 16, 9, 3, 16, 20, 29, 12 Insert the missing number.46 9 142340?138266 The circumference of a circle is 16w.Derive an expression for the area in terms of pi and w Quels produits se vendent typiquement en France, mais se vendent rarement aux tats-Unis.btises de Cambraiproduits au lait crusDpicessantonsgteauxhuile How can beta particles be dangerous to living cells?A. They move fast and penetrate the skin.B. They are very high in energy and can travel through mostmaterials.C. They move slowly but are very large.D. They are very low in energy but remain in the body for a long time. Has anyone ever done an escape room for Alcatraz they can share with me? Find the intensity of the electromagnetic wave described in each case. (a) an electromagnetic wave with a wavelength of 655 nm and a peak electric field magnitude of 1.5 V/m. 0.002984 W/m2 (b) an electromagnetic wave with an angular frequency of 6.5 1018 rad/s and a peak magnetic field magnitude of 1010 T. 1.19366E-6 W/m2 The absolute value inequality equation |2x 1| > 3 will have what type of solution set? You send a team of observers and station one at each machine in your plant. The machinist believes they are studying productivity, while actually they are measuring social interaction between the machinists in order to determine the natural leader. This is an example of Given the arithmetic sequence 2, -7, -16, -25, ..., determine thegeneral term tn. How can we drop eggs the fewest amount of times without breaking it? Why did Mr Vincenti said that it is for our own good that the living cannot generally see the dead? True or False:4x and 4x2 are like terms