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

someone help!
what is y?

Answers

60

random stuff because the answer has to be 20 characters long

Answer:

y= 160°

Step-by-step explanation:

as we can see, the corresponding angles are both 20°

a straight line is 180°

180-20= 160

that's you're answer

3+1=5
false or true
brailest and points

Answers

Answer:

FALSE

Step-by-step explanation:

PLZ MARK BRAINLIOEST

At a school, 40% of the sixth-grade students said that hip-hop is their favorite kind of music. If 100 sixth-grade students prefer hip hop music, how many sixth-grade students are at the school? Explain or show your reasoning.

Answers

Answer:

250 because 250 times .4 equals 100

Step-by-step explanation:

Put the following equation of a line into slope-intercept form, simplifying all
fractions.
x + 2y = -16

Answers

Answer:

y = -1/2x - 8

Step-by-step explanation:

You are looking for the equation in the form of y=mx + b, so you need y on the left hand side without x. Subtract x from both sides.

2y = -x - 16

Now you want 1y instead of 2y. So divide everything by 2.

y = -1/2x - 8

Please answer 1 and 2
Will mark brainliest!!!!

Answers

Answer:

1. No they are not parallel

2. no they are not perpendicular

Step-by-step explanation:

1. the slope for p is  5/2 mean while the slope for o is 4/2 therefore they are not parellel because the slopes are different

2. the slope for m is 2/1 and the slope for k is 3/5. inorder for them to be parelle for slope for k would have to be -1/2 and m would be 2/1 OR the slope for k would be 3/5 and the slope for m would be -5/3

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Answers

Answer:

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Step-by-step explanation:

Answer:

ok

Step-by-step explanation:

When a stone is dropped from a height, the time taken to fall, t, is proportional to the square root of the distance fallen, d.

Write down a formula, using k, connecting the time taken to fall and the distance traveled.

Answers

Step-by-step explanation:

We know that in kinematics we can write the formula for uniformly accelerated bodies:

s = 1/2 a t^2 + v0 t + s0

In our case s0 (initial deployment)  = 0m and v0 (initial velocity) = 0

So:

s = 1/2 a t^2

Now we isolate t:

t = [tex]\sqrt[2]{\frac{2s}{a} }[/tex]

All proportionalities are obvious.

Note: I forgot to say that a, the acceleration, is the gravitational acceleration. It can be g or -g depending on how you'll choose the reference system.

Given: △ABC, m∠A=60°,
m∠C=45°, AB=9
Find: Perimeter of △ABC,
Area of △ABC

Answers

Answer:

Perimeter of ΔABC: [tex]\frac{27}{2}[/tex] + [tex]\frac{9}{2} * \sqrt6[/tex] units

Area of ΔABC: [tex]\frac{81}{8}*\sqrt3 + \frac{243}{8}[/tex] units

Skills required: HS Geo, Special Triangles

Step-by-step explanation:

1) The best option is to break down this triangle. Let's draw an altitude from Point B down to Segment AC. The point from the altitude that intersects AC is Point D. BD is the height of our triangle, AC is the base.

2) Angle A is 60 degrees, and since Angle BDA is 90 degrees, Angle ABD is 30 degrees. We can use the 30-60-90 degree right triangle property for the triangle BDA.

This states that if the side opposite the 30 degree angle is [tex]x[/tex], the side opposite the 60 degree angle is [tex]x*\sqrt3[/tex], and the side opposite the 90 degree angle is [tex]2x[/tex].

AB is 9 units, and it is opposite the 90 degree angle. This means that [tex]2x=9, x = \frac{9}{2}[/tex] ==> This then means that AD, the segment opposite the 30 degree angle in this triangle is [tex]\frac{9}{2}[/tex] units. Segment BD (the height) is [tex]\frac{9}{2} * \sqrt3[/tex].

3) Angle C is 45 degrees, and Angle BDC is 90 degrees, which means that Angle CBD is 45 degrees. We can use the 45-45-90 degree right triangle property for the triangle BCD.

This states that if the side opposite the 45 degree angle is [tex]x[/tex], the other side opposite a 45 degree angle is also [tex]x[/tex], but the hypotenuse (side opposite the right (90 degree) angle) is [tex]\sqrt{2}*x[/tex].

BD is [tex]\frac{9}{2} * \sqrt3[/tex], which means DC is the same. BC, which is the hypotenuse is BD multiplied by square-root-2, which is [tex]\frac{9}{2} * \sqrt6[/tex].

4) Area is [tex]\frac{1}{2}*b*h[/tex], the base (b) is AC (which is [tex]\frac{9}{2}+\frac{9}{2}*\sqrt3[/tex]), the height is BD ([tex]\frac{9}{2}*\sqrt3[/tex]). When multiple you will get [tex]\frac{81}{4}*\sqrt3 + \frac{243}{4}[/tex], then this multiplied by 1/2 is

[tex]\frac{81}{8}*\sqrt3 + \frac{243}{8}[/tex] <--> this is the area!

5) Perimeter is just the sum of all side: 9 + [tex]\frac{9}{2}[/tex] + [tex]\frac{9}{2} * \sqrt6[/tex] = [tex]\frac{27}{2}[/tex] + [tex]\frac{9}{2} * \sqrt6[/tex] unit

How i can answer this questions

Answers

Answer:

B and C

Step-by-step explanation:

[tex]2(b+3c) =(b+3c)+(b+3c) = 2b +2(3c)[/tex]

emliy is thinking of a number which she calls n she find 1/4 of the number and then subtracts 3. write an expressions that represents emlily number.

Answers

Answer:

1/4 n - 3.

Hope this helps, sorry if it doesn't.

Which graph represents y = RootIndex 3 StartRoot x EndRoot 2?.

Answers

A cube root function has the form of [tex]y = x^\frac{1}{3}[/tex]

The graph is given as:

[tex]y = \sqrt[3]{x}[/tex]

Rewrite the function as:

[tex]y = x^\frac{1}{3}[/tex]

The above function is the parent function of a cube root function, and it passes through point (0,0).

See attachment for the graph of function [tex]y = \sqrt[3]{x}[/tex]

Read more about cube root functions at:

https://brainly.com/question/13793603

Answer: d on edge

Step-by-step explanation:

d

can someone help me for this?​

Answers

Answer:

500000N=2m

x. =6m

cross multiply, it'll be

6×50000÷2

=150,000N

The difference between a and 10 is less than 5

Answers

hi! the answer is: a-10<5

76 % of 150 calculate this

Answers

76% of 150 would be 114 I think I’m not to sure tho

Please Help Me please

Answers

Answer:

the 3 one

Step-by-step explanation:

Simplify for x: 2/3 = x-1/5

Answers

Answer:

x=13/15

Step-by-step explanation:

2/3=x-1/5

find LCD=15

10/15=x-3/15

add 3/15 to both sides

13/15=x

Is 30 squared, 10 squared, 50 squared, 30 squared, or 60squared closest to 5?

Answers

Answer:

if you are dividing by 2 then 10 is closer but if you multiplying .. 10 is still closer

A plane flies at x miles per hour in still air. Flying with a tailwind, its speed is 35 miles per hour. Against the wind, its air speed is only 445 miles per hour. hat is the speed of the wind?

Answers

Answer:

Step-by-step exklamatorisks:

Tank you

WILL GIVE BRAINLIEST

Answers

Answer:

you can do this unless x is given

Step-by-step explanation:

since we don't know what x equals this is practically impossible. so if u can put whay x equals in the picture

PLEASE HELP!! the polynomial expression x(2x^2+15)(4x^2+5x+3 where x is in inches can be used to model the number of cubic inches of cement that will be needed for a new porch. The cement contractor used 2 for the value of x. Determine the dimensions in inches of the cement needed for the porch. Height(shortest length side) width(medium length side) and length(longest length side)

Answers

Answer:

height 2 incheswidth 23 incheslength 29 inches

Step-by-step explanation:

For x=2, the dimensions are ...

  height = x = 2 inches

  width = 2x² +15 = 2(2²) +15 = 8 +15 = 23 inches

  length = 4x² +5x +3 = (4x +5)x +3 = (4·2 +5)2 +3 = 29 inches

Suppose x=7 is a solution to the equation 4x-2(x+a)=8 how can you find the value of a that make the equation true

Answers

Answer:

a = 3

Step-by-step explanation:

Since x = 7 is a solution, substitute x = 7 into the equation and solve for a

4(7) - 2(7 + a) = 8 , that is

28 - 2(7 + a) = 8 ( subtract 28 from both sides )

- 2(7 + a) = - 20 ( divide both sides by - 2 )

7 + a = 10 ( subtract 7 from both sides )

a = 3

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Answers

Step-by-step explanation:

just take from me..your most best and smarties person ever...i don't know the answer

B it’s going-1,1 each time

How can we use the distributive property to find an expression equivalent to 4(5−3x)? Place the steps in order.

Answers

Answer:

1-12-x-+1

Step-by-step explanation:

so you divided 2 by 4 then 1 after that 12 and boom

The equivalent expression for 4(5−3x) is ( 20 - 12x).

What is distribution property?

This states that multiplying the sum of two or more addends by a number produces the same result as multiplying each addend separately by the number and then adding the products together.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the expression is 4(5−3x). The expression by distribution property will be solved as,

E =  4(5−3x)

Multiply by 4 in the whole equation,

E = (  4 x 5 - 4 x 3x )

E = 20 - 12x

To know more about distribution property follow

https://brainly.com/question/28490348

#SPJ2

HELP PLEASE!!

1. Olivia sold water bottles over four days. Create a graph to determine if
the quantities of bottles and number of days are proportional If the
quantities are proportional, what is the constant of proportionality?Olivia sold water bottles over four days. Create a graph to determine if
the quantities of bottles and number of days are proportional If the
quantities are proportional, what is the constant of proportionality?

Answers

Answer:

68 got it right on the test!!!

Step-by-step explanation:

The children at Lincoln School go outside for recess if the temperature is 3°C or higher for what temperature will the students go outside? Write an inequality to represent this situation and then graph the solution

Answers

Answer:

it has to be 37.4 degrees or higher. An inequality would be X≥37.4

step-by-step explanation:

The winner of the local triathlon swam 0.5 miles, biked 15 miles and ran 2.5 miles. He finished the race in 54 minutes. For the entire triathlon, what was his average speed in miles per hour?

Answers

Answer:

15 or 15.546

Step-by-step explanation:

you add all the numbers then divide by 54

Based on the information given, the speed is 20 miles per hour.

From the information given, the winner of the local triathlon swam 0.5 miles, biked 15 miles and ran 2.5 miles and he finished the race in 54 minutes.

Note that 54 minutes = 0.9 hour.

The speed will be:

= (0.5 + 15 + 2.5) / 0.9

= 18/0.9

= 20 miles per hour.

Learn more about speed on:

https://brainly.com/question/4931057

25 points! :)

Pretty simple question, just not sure how to do it.

Answers

ANSWER

-3 -2, 0, .5, 1, 100 for domain

0, 1.8, 10, 19, 77, 100 For Range

Step-by-step explanation:

Domain is all the x values from least to greatest, and range is all the y vlues from least to greatet

Find the solution to the following system using substitution or elimination:
y = -x + 10
y= 7x+ 2
O A. (1, - )
O B. (1,9)
O C. (,1)
O D. (9,65)

Answers

Answer:

B

Step-by-step explanation:

y = - x + 10 → (1)

y = 7x + 2 → (2)

Substitute y = 7x + 2 into (1)

7x + 2 = - x + 10 ( add x to both sides )

8x + 2 = 10 ( subtract 2 from both sides )

8x = 8 ( divide both sides by 8 )

x = 1

Substitute x = 1 into either of the 2 equations and solve for y

Substituting into (2)

y = 7(1) + 2 = 7 + 2 = 9

solution is (1, 9 ) → B

8 (x minus 2) = 64. 8 x minus 16 = 64. 8 x = 80. x = 10.

Which property is used in the last step to find that x = 10?

Answers

Answer:

Inverse Property of Multiplication

Step-by-step explanation:

Inverse Property of Multiplication is when you do inverse operations to get rid of a multiplied number (if that makes any sense). to solve 8x = 80 you do the inverse of multiplying by 8 (divide both sides of the equal sign by 8) to get x=10.

How I can answer this question, NO LINKS, if you answer correctly I will give u brainliest!

Answers

Answer:[tex]x^{-2}[/tex]

Have attached the solution below for better understanding of the question, hope that helps:

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