Find the value of k given that both points lie on a line passing through the origin.

(k,−24) and (5,40)


PLEASE HELP ASAP if you do thank u and have a blessed day

Answers

Answer 1

Answer:

[tex]k=-3[/tex]

Step-by-step explanation:

Since the line passes through the origin, it must be a proportional/direct variation equation.

Direct variation equations have the form:

[tex]y=ax[/tex]

Where a is the constant of proportionality.

Let’s solve for a. We know that when x=5, y=40. So:

[tex]40=5a[/tex]

Divide both sides by 5:

[tex]a=8[/tex]

Therefore, our equation is:

[tex]y=8x[/tex]

We want to find the value of k such that y=-24. So, subsitute -24 for y and k for x:

[tex]-24=8k[/tex]

Divide both sides by 8:

[tex]k=-3[/tex]

Hence, the value of k is -3.


Related Questions

Every Wednesday, Wayne works out for
3
4
of an hour at the fitness center. Every Saturday, he goes to the fitness center again and exercises for 3 times as long. How much time does Wayne spend at the fitness center in all each week?

Answers

I would say three hours?

−2x+5y=−17 3x-10y=283x−10y=28

Answers

Answer:

x = 6

y = -1

Step-by-step explanation:

-2x + 5y = -17 ------ equation 1

3x- 10y = 28 ------- equation 2

equation 1× 2

-4x + 10y = -34 ------- equation 3

equation 2 + equation 3

-x = -6

x = 6

x = 6 substitute for equation 1

-12 + 5y = -17

5y = -5

y = -1

Charly has a square carpet with the dimensions 10 by 97 inches what is the area?

Answers

Answer:

A = 970 inches²

Step-by-step explanation:

If Charly has a 'square' carpet of 10 by 97, then its not square but rectangular, with that in mind;

A = L x W

A = 10 x 97

A = 970 inches²

Hope this helps :)

Answer:

970 inches

Step-by-step explanation:

10x97=970

Length x Width = Area

WHAT IS FRICTION BETWEEN????? NEED ANSWERS ASAP

Answers

Answer:

Friction is a force between two surfaces that are sliding, or trying to slide, across each other.

Step-by-step explanation:

For example, when you try to push a book along the floor, friction makes this difficult.

Answer:

Friction is the force that opposes motion between any surfaces that are in contact. There are four types of friction: static, sliding, rolling, and fluid friction. Static, sliding, and rolling friction occur between solid surfaces. Fluid friction occurs in liquids and gases.

Step-by-step explanation:

Simplify: (0.24 × 14.3) ÷ 5.2

Answers

1. Simplify 0.24 x 14.3 to 3.432.

= 3.432 ÷ 5.2

2. Simplify 3.432 ÷ 5.2 to 0.66.

= 0.66

Melanie rides her bike. The circumference of her bike tire is 2.8 m, and the tire revolves 1.5 times per second. What is the distance Melanie rides in 100 seconds?

Answers

Answer:

420 m

Step-by-step explanation:

The distance travelled in 1 second:

2.8 m * 1.5 revolves

= 2.8 * 1.5

= 4.2 m

Distance travelled in 100 seconds:

4.2 m * 100

= 420 m

Hope this helped!

please answer this question.i would really apreciate it

Answers

What is the question?

solve each system using elimination


8x+lly = 20 5x - 11y = -59​

Answers

Answer:

8x+lly=205x-11y=-59u200b

Step-by-step explanation:

i calculated it

Zoe bought 11 chicken wings for $20.90. What's the unit cost of one wing?

Answers

Answer:

$1.90

Step-by-step explanation:

Answer:
$1.90

Explanation:
$20.90 for 11
For 1= $20.90/11=$1.90

I hope this helped :)

Hello, I’m struggling, please help :)

Answers

Answer:

1. Vanilla

2.Strawberry

3.Chocolate

4.CS

5.VV

6.SS

Step-by-step explanation:

For these problem you are solving to find ALL of the possible outcomes with the 3 flavours.

1. They already have a combination for Chocolate-chocolate and Chocolate-Strawberry. The only flavour you haven't used yet is vanilla which makes your first answer vanilla.

2. They already have a combination for Vanilla-Chocolate and Vanilla-Vanilla. The only flavour you haven't used yet is Strawberry which makes your answer strawberry.

3. They already have a combination for Strawberry-Vanilla and Strawberry-Strawberry. The only flavour you haven't used yet is chocolate which makes your answer chocolate.

So when looking at the letters they are honestly just initials to the combinations possible. The order of the letters depend on what words come first going down your branch.

4. The two words are chocolate and strawberry. The first letter in both words are C and S so the answer is CS.

5. The two words are vanilla and vanilla. The first letter in both words are V and V so the answer is VV.

6. The two words are strawberry and strawberry. The first letter in both words are S and S so the answer is SS.

ABC = DEF. Find the measure of the given angles.

A=×+19
D=2x

x = ​

Answers

What is the measure of the angle

Select all equations that have two solutions. a x^2=16 b 4x^2=0 c x^2=-16 d 3x+2=14 e x^2-1=24 f (x+8)(x-8)=0

Answers

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a )

[tex] {x}^{2} = 16[/tex]

[tex]x = ± \: 4[/tex]

Two solutions.

_________________________________

b )

[tex]4 {x}^{2} = 0[/tex]

[tex]x = 0[/tex]

One solution .

_________________________________

c )

[tex] {x}^{2} = - 16[/tex]

[tex]No \: \: solution.[/tex]

_________________________________

d )

[tex]3x + 2 = 14[/tex]

[tex]x = 4[/tex]

One solution.

_________________________________

e )

[tex] {x}^{2} - 1 = 24[/tex]

[tex] {x}^{2} = 25[/tex]

[tex]x =± \: 5[/tex]

Two solutions.

_________________________________

f )

[tex](x + 8)(x - 8) = 0[/tex]

[tex]x = - 8 \: \: or \: \: x = 8[/tex]

Two solutions .

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Except from the option(c), all equations have 2 solutions.

What is an equation?

"An equation is a formula that expresses the equality of two expressions, by connecting them with the equal sign"

Given equations are:

a. x² = 16

This is a quadratic equation. This equation has two solutions.

b. 4x² = 0

This is a quadratic equation. This equation has two solutions.

c. x² = - 16  

This equation doesn't have any solution.

d. 3x + 2 = 14

This is a quadratic equation. This equation has two solutions.

e. x² - 1 = 24

This is a quadratic equation. This equation has two solutions.

f. (x + 8)(x - 8) = 0

This is a quadratic equation. This equation has two solutions.

Learn more about equations here: https://brainly.com/question/14584746

#SPJ2

Which statement correctly compares the function shown on this graph with the function y = -x+ 4?

A. The function shown on the graph has the same rate of change, but a lower starting point.

B. The function shown on the graph has a smaller rate of change, but the same starting point.

C. The function shown on the graph has a greater rate of change, but the same starting point.

D. The function shown on the graph has the same rate of change, but a higher starting point​

Answers

Answer:

I think the answer for this question is C

Answer:

the answer is c

Step-by-step explanation:

PLEASE HELP ASAP!!

Solve the equation below.
A. 196
B. 198
C. 243
D. 248

Answers

Answer:

196

Step-by-step explanation:

I calculated it with my calculator

The answer is the first one. 196. Hope this helps

Due to a bad crop year, the cost of cherries is projected to increase 133% this year. A pound of cherries currently costs $2.16. What can you expect the new price per pound to be?

Answers

To solve this problem, or one of sorts, you can multiply the current price (2.16) by 1.33 (the percentage as a decimal).

2.16*1.33 = 2.8728

Round to two decimal places (and that’s the number of decimal places for money), and you can expect the new price per pound of cherries to be about $2.87.

Donald bought a box of golf balls for $9.32. There were 18 golf balls in the box.
About how much did each golf ball cost? Rename the decimal dividend as a whole number that is
compatible with the divisor to estimate the quotient.
Each golf ball costs about $

Answers

Answer:

$0.51

Step-by-step explanation:

each golf ball would cost $0.51

x to the third power = 1 over 8

Answers

Answer:

1/2

Step-by-step explanation:

x^3=1/8.

We know 2^3(2*2*2)=8. So 1/2*1/2*1/2=1/8.

Two sides of a triangle are 26 meters and 15 meters. What is the smallest the third side can be?
A) 13 meters
B) 15 meters
C) 11 meters
D) 9 meters

Answers

Answer:

d

Step-by-step explanation:

i think its bc all the side are getting smaller and smaller

The answer is D)9 meters

pls help quickly thank you

Answers

Answer: $637

Step-by-step explanation:

Please help me look at the photo

Answers

Answer:

I think the answers are E = 4 ¼ F = -6 ¼ D = -3 ¼

Aaron, Darren, Karen, Maren, and Sharon rode on a small train that has five cars that seat one person each. Maren sat in the last car. Aaron sat directly behind Sharon. Darren sat in one of the cars in front of Aaron. At least one person sat between Karen and Darren. Who sat in the middle car?

Answers

Answer:

Sharon

Step-by-step explanation:

The given parameters are;

The number of persons that rode on the small train = 5

The number of cars in the train = 5

The position Maren sat = Last car

The position Aaron sat = Directly behind Sharon

The position Darren sat = In one of the cars in front of Aaron

The position of one of the members = Between Karen and Darren

The given seating arrangement is as follows;

Maren → Aaron → Sharon → Darren → Karen

Therefore, the person who sat in the middle car is Sharon.

How many solutions does the following equation have? − 4 ( x + 5 ) = − 4 x − 20 −4(x+5)=−4x−2

Answers

Answer:

-4x - 20= -4x - 20

Step-by-step explanation:

Multiply -4 and x and -4 and 5. It has infinite solutions

Please help, points and brainiest, Thank you!!

Answers

Answer:

51 litres.

Step-by-step explanation:

68 / 4 = 17

3/4 of a tank needed to be full.

3 x 17 = 51

What is the mean?
3 0 4 7 0 4 5 3 6 8

Answers

Step-by-step explanation:

3+0+4+7+0+4+5+3+6+8/10

40/10

4

Answer:

The mean is 4.

Step-by-step explanation:

When you add 3+0+4+7+0+4+5+3+6+8 you get 40 and because there are 10 numbers you would divide 40 by 10 and get 4.

Mean-the average of all of the numbers in a data set...to find the mean you simply add all of the given numbers together and then divide that sum by the total amount of numbers given, then you will get your mean.

HOPE THIS HELPS!!!!!!!

How do you answer this?

Answers

Answer:

x= -3/2

Step-by-step explanation:

((4)²)^x = 1/(4)³

4²^x = 4³

thus the powers are same then

2x =-3

x=-3/2

Answer:

x = - [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

Using the rules of exponents

[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]

[tex]a^{-m}[/tex] ⇔ [tex]\frac{1}{a^m}[/tex]

Note that 16 = 4² and 64 = 4³ , then

[tex]16^{x}[/tex] = [tex]\frac{1}{64}[/tex] , can be expressed as

[tex](4^2)^{x}[/tex] = [tex]\frac{1}{4^3}[/tex] , that is

[tex]4^{2x}[/tex] = [tex]4^{-3}[/tex]

Since the bases on both sides are equal, then equate the exponents

2x = - 3 ( divide both sides by 2 )

x = - [tex]\frac{3}{2}[/tex]

Will Give Brainliest! WHAT Additional Congruence statement is needed to prove the triangles are congruent by SAS?

Answers

Answer:

C. ∠1 ≅ ∠2

Step-by-step explanation:

SAS postulate says that because 2 sides and an angle are congruent in 2 triangles, both triangles are congruent.

what is the equation of the line in slope intercept form

Answers

Answer:

y=x-70

Step-by-step explanation:

Y= x-70 is correct.
To write an equation in slope-intercept form, given a graph of that equation, pick two points on the line and use them to find the slope. This is the value of m in the equation. Next, find the coordinates of the y-intercept--this should be of the form (0, b). The y- coordinate is the value of b in the equation.

What is the y-intercept of the line?

Answers

Answer:

(0 ; 1)

Step-by-step explanation:

Have a great day

Answer:

The y-intercept of this line is 1.

Step-by-step explanation:

You can tell by looking at the y-axis (vertical line.)

how many times did the decimal point move if 1.56 went to 1560

Answers

Answer:

For 1.56 to get to 1560 the decimal point moved three times.

Step-by-step explanation:

To explain this I will give a visual representation.

We have to get from 1.56 to 1,560 and find out how many times it moved forwards.

0). 1.560

1). 15.60

2). 156.0

3). 1,560

as you can see it moved three times.

Solve 3x2 + 4x = 2. ??​

Answers

Answer: Answer: The answer should be x = -1. Hope this helps!

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