For what value of k are the lines 2x + 3y = 4k and x - 2ky = 7 parallel?

Answers

Answer 1

Answer:

k = -3/4

Step-by-step explanation:

The lines will be parallel if their slopes are equal.  To find the slope of each line, write its equation in slope-intercept form (y = mx + b).  In other words, solve each equation for y and look at the coefficient of x.

2x + 3y = 4k

3y = -2x + 4k

y = (-2/3)x + 4k/3

The slope of the first line is -2/3.

x - 2ky = 7

-2ky = -x + 7

y = [1/(2k)]x - 7/(2k)

The slope of the second line is 1/(2k).

If the slopes are equal, then

1/(2k) = -2/3

Multiply by 2k.

1 = (-2/3)(2k) = (-4/3)k

1 = (-4/3)k

k = -3/4


Related Questions

Find the slope of the line passing through the points A(-2,2) and B(7, -3)

Answers

Step-by-step explanation:

Formula :  m = (y2-y1)  /  (x2+x1)

(-3 - 2) / (7 - - 2)-5 / 9= -0.55555555555

Which triangles could not be similar to triangle ABC ? triangle a b c with right angle b. side a b is 12 cm. side b c is 5 cm. side a c is 13 cm. Select each correct answer. Right triangle D E F with right angle at E. D E is 8 centimeters. D F is 10 centimeters. E F is 6 centimeters. Right triangle J K L with right angle at K. J K is 36 centimeters. J L is 39 centimeters. K L is 25 centimeters. Right triangle M N O with right angle at N. M N is 35 centimeters. M O is 37 centimeters. N O is 12 centimeters. Right triangle G H I with right angle at H. G H is 6 centimeters. G I is 6.5 centimeters. H I is 2.5 centimeters.

Answers

Answer:

triangle JKL

Step-by-step explanation:

This is because the lengths of each side JKL is a factor to ABC

respectively .

AB=12,JK=36

AC=13,JL=39

BC=5,KL=25

I hope you understand

help finals study guide please I want to just go on break​

Answers

Step-by-step explanation:

(note: I'm only answering the ones I know vs giving you wrong answers for the others!)

1. ROS=Obtuse (larger then ninty degrees)

2. octagon has 8 angles (octo means eight, after all!)

3. If a figure has three sides, it is a triagle (not positive on this one)

4. symmetric property of congruence (this one's a simple search :p )

5. N/A (although I believe its angle BEC=124 degrees, as every other choice Is proven to be true)

6. congruent complements theorem (this is because we are given that 3 is a suppliment of 4. we are also given that 2=4. Based on this, then 1=3 is congruent based on 1 being suppliment of 2, 2=4, and 3 being a suppliment of 4)

7. N/A

8. N/A (the picture is too fuzzy for me to make any ideas)

I'm sorry I couldn't solve them all, but I hope this at least gets you somewhere! Have a great day!

Please help me with this!!! I will mark brainlist!!!

Answers

Answer: The value of Angle F = 47

Step-by-step explanation:

10/11 x 3/7 x 1/2 Multiply. Write your answer as a fraction in the simplest form.

Answers

ffhhuff fffchuyrx we’re

38 degrees 2x degrees +6 degrees

Answers

STEP
1
:
Pulling out like terms

Pull out like factors :

32 - 2x = -2 • (x - 16)

STEP
2
:

Equations which are never true:

2.1 Solve : -2 = 0

This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:

2.2 Solve : x-16 = 0

Add 16 to both sides of the equation :
x = 16

Which of the following expressions is equivalent to.

Answers

Answer:

the answer is this hope it helps

Joy needs 8 feet of fabric for a project she is working on, but the store only sells the fabric in meters. One meter of fabric costs $1. 15. How much will the fabric cost? [1 ft = 0. 305m] $9. 20 $2. 12 $2. 81 $30. 16.

Answers

Answer: C = 6.5l

Cost is $6.50 per yard.

Step-by-step explanation:

2l = 13 and 5l = 32.5 After simplifying these we get: L = 6.5. In context, this means that one yard of fabric costs $6.50. As the number of yard of fabric increases, cost increases, so c = 6.5l.

Based on the cost of a single meter of fabric, the cost of the fabric that Joy wants is $2.81

Joy wants 8 feet of fabric. First convert this to meters which would be:

= 8 feet x 0.305 meter per feet

= 2.44 meters

The cost of this fabric would therefore be:

= Cost per meter x Number of meters

= 1.15 x 2.44

= $2.806

= $2.81

In conclusion, the cost of the fabric would be $2.81.

Find out more at https://brainly.com/question/4220997.

PLZZ HELP FAST

Use the distributive property to fill in the blanks​

Answers

Answer:

first blank : 6

second blank : 5

Step-by-step explanation:

The circumference of a circular pond is 300 pi ft. A model boat is moving directly across the pond along the diameter at a rate of 4 feet per second. How long does it take the boat to get to the other side?

Part A: Draw the pond and label what you know from the problem above.

Part B: What is the diameter of the pond?

Part C: How many seconds does it take the boat to get to the other side of the pond?

Answers

Step-by-step explanation:

See the photo let me know if you have a question


Expand and simplify
3(4a - 5b) + 2(2a - 3b)

Answers

Answer:

a = 5/2

b = 1

I hope it correct

Step-by-step explanation:

Thank you

Answer:

answer is 5ab

Step-by-step explanation:

3(4a-5b)+2(2a-3b)

3(ab)+2(ab)

3ab +2ab

5ab

You went to a carnival. Each ride cost $2.50.
Let c represent the cost and n represent the
number of rides.

Answers

C=2.5r brainliest plz

Sasha drinks 2.5 liters of water each
weekday. She drinks a total of 3 liters of
water on the weekend. What is the total
volume of water, in milliliters, Sasha drinks
each week?

Answers

Answer:

17000

Step-by-step explanation:

2.5

.5

11.0

3*2=6

11

+6

17

An online furniture store sells chairs and tables. Each day, the store can ship at most 55 pieces of furniture. Write an inequality that could represent the possible values for the number of tables sold, t, and the number of chairs sold, c, that would satisfy the constraint.

Answers

Answer:

t+c ≤ 55

Step-by-step explanation:

t+c is the total pieces of furniture and it must be at most (less than or equal to) 55 so t+c ≤ 55 is the equality that represents the possible values.

Select the equation that contains the points (-1, -8) and (3, 4).

Answers

show us the equations
show us the equation

Identify an example of a pair of skew line from the box below

Answers

Answer:

  AB, CD

Step-by-step explanation:

Skew lines do not lie in the same plane, and do not intersect. One such pair is AB and CD.

__

Additional comment

Any of the lines, and any of the lines that intersect its diagonally-opposite edge will be skew lines.

For example, the opposite edge to line BC is line EG. Lines that intersect EG are ED, EF, GA, GH. All of those four lines are skew with respect to line BC.

Please help Tysm!! <3

Answers

Answer:

68 homes

Step-by-step explanation:

1. First, let's set up a proportional relating the home to the # of hours.

[tex]\frac{17}{49} = \frac{x}{196}[/tex]

2. Now, let's see if we can divide 196 by 49. If so, the quotient we get is the number we multiply 17 by to get x.

[tex]196/49 = 4[/tex] This means that we multiply 17 by 4 to get x.[tex]17 * 4 = 68[/tex]

Therefore, the answer is 68 homes.

subtract 3x-7x³+5x² from the sum of 2+8x²-x³ and 2x³-3x²+x-2​

Answers

Answer:

(2 + 8 x^2 - x^3) + (2 x^3 - 3 x^2 + x - 2) - (3 x - 7 x^3 + 5 x^2) = 8 x^3 - 2 x

Step-by-step explanation:

Which system of equations is graphed on the coordinate plane below?

Answers

Answer: 12,2

Step-by-step explanation:

Answer:

so the answer is TRUE

Step-by-step explanation:

I'm not sure how to explain but ik it it

Explain whether the pairing is a function

Answers

NOT a function because it has one to many

it would’ve been a function if it had many to one

Solve the system of equations.
fequations with
on: potato chips
15x + 3y = -3
equations with
n: -3x-4y=-2 &
2 = -y +3
2=
stems of
with
Y =

Answers

Answer:

y = - 3, x = 6

Step-by-step explanation:

15x + 31y = - 3

x = - y + 3

15(- y + 3) + 31y = - 3

-15y + 45 + 31y = - 3

16y + 45 = - 3

16y = - 48

y = - 3

x = - (- 3) + 3

x = 3 + 3

x = 6

Answer:

x = 6, y = -3.

Step-by-step explanation:

15x + 31y = -3

x = -y + 3

Substitute x = -y + 3 in the first equation:

15(-y + 3) + 31y = -3

-15y + 45 + 31y = -3

16y = -3 - 45 =-48

y = -3.

So x = -(-3) + 3 = 6.

I need these answers in 5 MINUTES PLZ HELP

Answers

Answer:

30? I might be wrong soooo

Step-by-step explanation:

15*2=30

On a coordinate plane, a parabola opens down. It has an x-intercept at (negative 5, 0), a vertex at (negative 1, 16), a y-intercept at (0, 15), and an x-intercept at (3, 0).
The function f(x) = –x2 − 2x + 15 is shown on the graph. What are the domain and range of the function?

The domain is all real numbers. The range is {y|y < 16}.
The domain is all real numbers. The range is {y|y ≤ 16}.
The domain is {x|–5 < x < 3}. The range is {y|y < 16}.
The domain is {x|–5 ≤ x ≤ 3}. The range is {y|y ≤ 16}

Answers

Answer:

Step-by-step explanation:

Domain is all the x's and range is all the y's. There's no reason why you couldn't pop any x into the given equation and calculate it and get a number out. So literally ANY x can be used and found on this graph. So the domain is all real numbers, one of the first two answers is going to be the right one. Now, the range is all the y's on the graph. The problem says that the parabola opens down, which means it has a highest point. There is no graph above that point. That's the point (-1, 16). So 16 is the highest y-value you can find on the graph. All the rest of the y's are smaller. The range is all the y's such that the y's are 16 and smaller...in math that's written {y | y <= 16} So the second answer is the right one.

The domain is all real numbers. The range is {y | y ≤ 16}

How to determine the domain and the range?

The attached graph completes the question

Calculating the domain

The function is given as:

f(x) = -x² - 2x - 15

The above function is a parabola or a quadratic function.

Quadratic functions have their domain to be the set of all real numbers.

Hence, the domain is all real numbers.

Calculating the range

On the graph, we have the maximum value of y to be:

Maximum = 16

Because the parabola opens down, the range would be:

y ≤ 16

Hence, the range is {y | y ≤ 16}

Read more about domain and range at:

https://brainly.com/question/2264373

#SPJ6

The price of an item yesterday was $140 Today, the price rose to $322 Find the percentage increase.

Answers

Answer:

130% increase

Step-by-step explanation:

(322-140)/140(100)=130% increase.

(you set the final price on top, and original price in the denominator, and x/100 is the rate of increase)

cross multiply, and you get 130%.

You need $145 in cash if you withdraw money from your savings account using the ATM how much will you need to withdraw in order to have at least one $145 based upon how ATM’s dispense money?

Answers

Answer:

290

Step-by-step explanation:

145 withdrawal free + 145 in cash = 290.

A solid object where the radius of bse is 7cm and height is 12cm​

Answers

Answer:

A cylinder with a base radius of 7cm and a height of 12 cm.

Step-by-step explanation:

A solid object =7cm

height=12cm

Now,

we know that l = b×g

=12×7

= 84

A magnifying glass makes an image appear 10times larger than its actual size. If the magnified image appears to be 1inch, what is the actual size of the image?



0.01
inch

0.01 inch

0.1
inch

0.1 inch

10
inches

10 inches

100
inches

100 inches

Answers

Answer:

0.1 Inch

Step-by-step explanation:

If the image is 0.1 inch, and it is magnified by 10, 0.1 times 10 will give you the new size of the image after it is magnified. You can undo it by dividing 10 since you would multiply it to magnify it.

[tex]\boxed{\sf \lim_{n \to \infty} (\frac{1}{1-n^2}+\frac{2}{1-n^2} +...\: \frac{n}{1-n^2} }[/tex]

- Need a step-by-step answer!
- Thank you!

Answers

[tex]\\ \sf\Rrightarrow \lim_{n\to \infty}\left(\dfrac{1}{1-n^2}+\dfrac{2}{2-n^2}\dots \dfrac{n}{1-n^2}\right)[/tex]

Take LCM as 1-n^2

[tex]\\ \sf\Rrightarrow \lim_{n\to \infty}\left(\dfrac{1+2+3\dots n}{1-n^2}\right)[/tex]

1+2..n=n(n+1)/2

[tex]\\ \sf\Rrightarrow \lim_{n\to \infty}\left(\dfrac{\dfrac{n(n+1)}{2}}{1-n^2}\right)[/tex]

[tex]\\ \sf\Rrightarrow \lim_{n\to \infty}\dfrac{n(n+1)}{2(1-n^2)}[/tex]

[tex]\\ \sf\Rrightarrow \lim_{n\to infty}\dfrac{n(1+n)}{2(1-n)(1+n)}[/tex]

[tex]\\ \sf\Rrightarrow \lim_{n\to \infty}\dfrac{n}{2(1-n)}[/tex]

[tex]\\ \sf\Rrightarrow \dfrac{\infty}{2-\infty}[/tex]

[tex]\\ \sf\Rrightarrow \dfrac{-1}{2}[/tex]

[tex]{\sf \lim_{n \to \infty} (\frac{1}{1-n^2}+\frac{2}{1-n^2} +...\: \frac{n}{1-n^2}) } \\ = {\sf \lim_{n \to \infty} (\frac{1 + 2 + ..n}{1-n^2})} \\ = {\sf \lim_{n \to \infty} ( \frac{n(n + 1)}{2} \div 1 - {n}^{2} )} \\ = {\sf \lim_{n \to \infty} ( \frac{n(n + 1)}{2} \times \frac{1}{ 1 - {n}^{2}} )} \\ ={\sf \lim_{n \to \infty} ( \frac{n(n + 1)}{2(1 - {n}^{2} )} )} \\ = {\sf \lim_{n \to \infty} ( \frac{n(n + 1)}{2 (1 - n )(1 + n) } )} \\ = {\sf \lim_{n \to \infty} ( \frac{n(1 + n)}{2 (1 - n )(1 + n) } )} \\ = {\sf \lim_{n \to \infty} ( \frac{n}{2 (1 - n )} )} \\ = {\sf \lim_{n \to \infty} ( \frac{n}{2 - 2 n } )} \\ = \sf \frac{ \infty }{2 - \infty } \\ = \frac{ - 1}{2}

[/tex]

Answer:

[tex] \frac{ - 1}{2} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Directions: Name the coefficient (s) in the following expressions:

1. 9s + 4t

2. 46rs + 10x

3. 18q + 14x

4. 10x + 14y

5. 17rs + 32x

6. 5x + 7y - 5z

7. 3ab + 70m

8. 3r + 20a + 10m

9. 7k + 16m

10. 7r + 5s

11. 9j + 120m

12. 12k + m

13. 6c + 15h + w

14. 2c - 19d + 12f

15. 3t + 14r - 31j

can someone just answer god

Answers

Answer:

Coeffecients are the letters before the numbers.

1. 9 and 4

2. 40 and 10

3. etc

Step-by-step explanation:

9 and 4
46 and 10
18 and 14
10 and 14
17 and 32
5 and 7 and -5
3 and 70
3 and 20 and 10
7 and 16
7 and 5
9 and 120
12
6 and 15
2 and -19 and 12
3 and 14 and -31

Basically the number before the letter!

Hope this helps!!

Under his cell phone plan, Jonathan pays a flat cost of $57 per month and $3 per gigabyte. He wants to keep his bill at $71.10 per month. Write and solve an equation which can be used to determine xx, the number of gigabytes of data Jonathan can use while staying within his budget.

Answers

Answer:

(71.10-57)/3=amount of gigabytes, 14.10/3=4 gigabytes allowed

Step-by-step explanation:

$71.10-$57=$14.10, the amount of money that Jonathan can spend on gigabytes. Then, determine how many times 3 can go into 14.10: 4 times. Jonathan can use four gigabytes and keep his bill under $71.10 a month.

Other Questions
Which table matches the equation y= 8x + 20 How can you solve multistep equations that represent real worldscenarios? Why couldn't we provide for the common defense" before the Constitution? Determine the domain and range of the function f(x) = ""|x| 2. The domain of the function is. The range of the function is. Write all the factors of 9 . Use commas to separate them.rtth PLEASE HELP ME I NEED HELP ASAP SO BADLY What is the eighth term of the arithmetic sequence defined by the rule A(n) = -12 + 2(n-1)? In this stanza, prufrock repeats "do i dare?" three times. What does the repetition indicate about his state of mind? he is indecisive. He is worried about the stairs. He is adventurous. He wants to be on time. Which of the following statements does NOT describe a river delta? A. sediment that builds up where a river meets a larger body of waterB. some are muddy and unstable; others are so big crops can grow on themC. earth scooped out that can form a lake or deep valleyD.where a flowing river empties its load at the mouth of a river Name 5 ways that organisms can be preserved as fossils, and explain what fossils can show about Earths history. Select the correct answer.How did the Battle of Saratoga affect the American Revolution?A. French troops joined the war on behalf of the colonists.B. The Hessian mercenaries were eliminated from the war.C. Continental soldiers were bribed to compromise the war.D. Washington withdrew from the war after another loss.E. About 10,000 Continental soldiers became prisoners of war. 11. What is the literary significance of Washington Irving's stories?They are the best examples of the American Rationalist tradition.They were more popular than the writings of Benjamin Franklin.They are the first stories to be set in the United States. .They are the earliest examples of American Romanticism. the major difference between the service life of an asset and its physical life is that In what year did the PRI (InstitutionalRevolutionary Party) take control of Mexico?A. 1910B. 1915C. 1920D. 1929 What information can the reader learn from characterization? A. The author's personal opinions about historical figures. B. The strengths, weaknesses, and motivations of the characters C. The time period and location in which the characters live.D. The central conflict the characters will have to struggle against scores on a test have a mean of 66 and Q3 is 80. The scores have a distribution that is approximately normal. Find the standard deviation. Round your answer to the nearest tenth.A) 10.5B) 20.9C) 9.4D) 18.7 Select the correct answer.The first settlers in North America were from which area of the world?O A.AsiaOB.AfricaO C. South AmericaOD. EuropeResetbext which best describes the homes in which peasants lived? find possible lenth and breadth of the rectangle whose area is given by the expression x power 2 +6x +8 Explain ONE historical situation in the period 1450-1750, other than the one illustrated in the passage, in which states experienced environmental impact.