A line containing the points (x, 1) and (2, 4) has a slope of 1/4. Find the value of x.

Answers

Answer 1

Answer:

Step-by-step explanation:

Givens

m = 1/4

y2 = 4

y1 = 1

x2 = 2

x1 = x

m = (y2 - y1) / (x2 - x1)

Solution

1/4 = (4 - 1) / (2- x)                Simplify

1/4 = 3 / (2 - x)                      Cross multiply

2- x =12                               Subtract 1 from both sides

-x = 12 - 2

-x = 10                                 Multiply by -1

x = -10

Check

1/4 = (4 - 1) / (2 - - 10)

1/4 = 3/(2 + 10)

1/4 = 3 / 12

1/4 = 1/4

Odd as the answer is, it does check.


Related Questions

a Members of a soccer team raised $1530.50 to go to a tournament. They rented a bus for $1164.50 and budgeted $30.50 per player for meals. Write and solve an equation which can be used to determine x, the number of players the team can bring to the tournament.​

Answers

The number of players that can be taken to the tournament is 12 players.

The equation that can be used to represent the total amount spent by the soccer team is:

Total amount spent = cost of rented bus + (cost per meal x total number of players)

$1530.50 = $1164.50 + $30.50x

Where: x = total number of player

In order to determine the value of x, the following steps would be taken:

Combine similar terms

$1530.50 - $1164.50 = $30.50x

$366 = $30.50x

Divide both sides of the equation by 30.50

x = $366 / $30.50

x = 12 players

A similar question was answered here: https://brainly.com/question/22358515

FIND THE ERROR Fern is finding the slope of the line that passes through (-2, 8) and (4. 6). Determine in which step she made an error. Ex​

Answers

Answer:

Step 1, she reversed the values of x. It should have been 4 - (-2) not -2 - 4.

Step-by-step explanation:

Fern made a mistake in writing equation [1] where she wrote  {-2 - 4} in the denominator in place of {4 -(-2)}.

What is the general equation of a straight line?

The general equation of a straight line is -

y = mx + c

Where -

[m] is the slope of the line.

[c] is the y - intercept

Given is Fern who is finding the slope of the line that passes through (-2, 8) and (4, 6).

In order to find the slope of the line, the following formula is used -

m = (y₂ - y₁)/(x₂ - x₁)

So, the slope of the line passing through the given points can be calculated using the following steps -

m = (6 - 8)/{4 -(-2)}                       ..[1]

m = -2/6                              

m = -1/3

Fern made mistake in writing equation [1]. She should have written

{4 -(-2)} in the denominator in place of {-2 - 4}

Therefore, fern made a mistake in writing equation [1] where she wrote  {-2 - 4} in the denominator in place of {4 -(-2)}.

To solve more questions on straight lines, visit the link below-

https://brainly.com/question/11919806

#SPJ5

Find the perimeter. Simplify the answer.

Answers

Answer:

4u

Step-by-step explanation:

add up all the sides: u+u+u+u=4u

A family of four drove to Disney World: It took 12 hours to get there. Parking was $15. The total cost of parking and admission was $195. How much was each ticket?

Answers

$45 each person

parking = $15

Parking + admission = $195

1. Subtract parking from the total. 195 - 15 = 180

2. Divide admissions total by 4 people. 180 / 4 = 45

Please show all work
No links please

Answers

Answer:

See below:

Step-by-step explanation:

Hello! My name is Galaxy and I will be helping you today! I hope you are having a nice day.

So we can solve this in one single step, I'll start off with solving it.

So first we know that [tex]AB=DF[/tex] and of which [tex]DF[/tex] is the Hypotenuse of triangle [tex]DE F[/tex].

Since the hypotenuse is equal to one of the legs of the 2nd triangle, we cannot use any rule that has Side in it as they are both not really getting us anywhere.

We do know that [tex]<ABC=<DE F[/tex] as they are both 90 degrees.

As we don't have enough proof, these triangles are not congruent as we would need to do/prove rule RHS.

Cheers!

14. At a local fruit stand, Luisa spends $5.25 for 2 pounds of strawberries. At this rate, how much can she expect to pay for 3.5 pounds of strawberries? (round to the nearest hundredt
h) Proportion Answer

Answers

$6.25 jdhdhdhdhdhdbrr

1\4-2\5
plese help and thank
you

Answers

Answer:

3/20

Step-by-step explanation:

3/20 I sure, Just trying this one

Anyone please help for A brainlist :)

Answers

Answer:

your answer is the second opition B

Step-by-step explanation:

i hope i helped

Answer B
i got it right on my test

An Apple Watch was marked down 1/9 of the original price. If the sales price was $224 what is the original price?

Answers

Answer:

ok so that means that the new price is 8/9th of the original one so we divide 224 by 8/9=252

Hope This Helps!!!

Marked down 1/9 means it sold for 8/9 of the original price.

Divide the sale price by 8/9:

224 / 8/9 = 224 x 9/8 = (224 x 9)/8 = 2016/8 = 252

The original price was $252

y+7=2(x+5) in standard form ​

Answers

Answer:

[tex]2x-y=-3[/tex]

Step-by-step explanation:

[tex]\mathrm{The\: standard\: form\: of\: a \:linear \:equation \:is}:\mathrm{A}x+\mathrm{B}y=\mathrm{C.}[/tex]

[tex]\underline{\sf{Solve\:for\:}y}:[/tex]

[tex]y+7=2(x+5)[/tex]

[tex]=y+7=2x+2\cdot5[/tex]

[tex]= y+7=2x+10[/tex]

[tex]=(y+7)+(-7)=(2x+10)+(-7)[/tex]

[tex]=y+7-7=2x+10-7[/tex]

[tex]\underline{y=2x+3}[/tex]

look at photo that is added

Answers

The slope intercept form using the two points would be : y= 2x-13

can someone please assist me in these equations!?!?! pls​

Answers

Answer:

1. -9 because -9x6= -54, -10 because 5 x -10= -50, and x=1 because -2 x 1= -2

Step-by-step explanation:

Answer:

1. = −9

2. = −10

3. = 1

Step-by-step explanation:

Distribution property of-6(9-9n)

Answers

Answer:

you multiply the -6 by whats in the parenthesis. so it would be -54, and 54n. Because two negatives make a positive

Hope this helped!

Step-by-step explanation:

HELPPPPP ASAP!!!! I’m on a limit

Answers

Answer:

look at the photo.........

What is the ratio of apples to bananas?

Choose 1 answer:
Choose 1 answer:

(Choice A)
A
3 :4

Answers

Answer:

a

Step-by-step explanation:

it has the same a prime bundle

(7+7b)+(-2+8c)+(1+5d)

Answers

Answer: 7b + 8c + 5d + 6

Step-by-step explanation:

1) (7+7b)+(-2+8c)+(1+5d)

combine like terms (starts with the ones with variables)

2) 7b + 8c + 5d

now all you need to do is add the numbers without variables

3) 7b + 8c + 5d + (7 + -2 + 1)

4) 7b + 8c + 5d + 6

Write the unit fraction depicted in the model as a percent.

One-fourth =

Answers

Answer:

Step-by-step explanation:

= 1/4*100

= 1*25

= 25%

• Answer is 25%.

. Which angle is included between the sides MN & OM of AMNO​
quick pleaseeee

Answers

Give the figure pls
……………………….

An electronics retailer sells a washing machine at cost price (how much the retailer paid for it) of $400 with a profit of 20%. What price does the customer pay?

Answers

Answer:

$480

Step-by-step explanation:

400 × .20 = 80

the retailer got an extra 20% or $80 for the machine.

$400 + $80 = $480

The customer paid $480 for the washing machine.

1. What is the range of the function y = 2x-3 when the
domain is {-1, 0,5}?

Answers

y=2x-3

2x-3

2(-1)-3=-5

HELP PLS! Suppose the year of car accidents per day in Wilmington NC has been recorded for the past year. The table below is a probability distribution table representing the data collected.
1) what is the probability that on a randomly selected day there were no accidents?

2) find the probability there will be at least 2 accidents

3) on any given day how many accidents should the Wilmington police expect to have.

Answers

According to the discrete distribution given:

1) There is a 0.18 = 18% probability that on a randomly selected day there were no accidents.

2) There is a 0.7 = 70% probability that there will be at least 2 accidents.

3) On any given day, the Wilmington police should expect to have 2.03 accidents.

The distribution is:

[tex]P(X = 0) = x[/tex]

[tex]P(X = 1) = 0.12[/tex]

[tex]P(X = 2) = 0.32[/tex]

[tex]P(X = 3) = 0.25[/tex]

[tex]P(X = 4) = 0.13[/tex]

Item 1:

The sum of the probabilities has to be 100% = 1, hence:

[tex]x + 0.12 + 0.32 + 0.25 + 0.13 = 1[/tex]

[tex]x + 0.82 = 1[/tex]

[tex]x = 0.18[/tex]

0.18 = 18% probability that on a randomly selected day there were no accidents.

Item 2:

This probability is:

[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) = 0.32 + 0.25 + 0.13 = 0.7[/tex]

0.7 = 70% probability that there will be at least 2 accidents.

Item 3:

The expected value is the sum of each outcome multiplied by it's respective probability, hence:

[tex]E(X) = 0.18(0) + 0.12(1) + 0.32(2) + 0.25(3) + 0.13(4) = 2.03[/tex]

On any given day, the Wilmington police should expect to have 2.03 accidents.

A similar problem is given at https://brainly.com/question/25653146

the Greatest Common Factor of 24, 36 and 50

Answers

Answer:

2

Step-by-step explanation:

they all share a factor of 2

I need helpppp with 1-9

Answers

Hi!! What do you need help with? Solving the problems? Or understanding them? Also 1-9 is a bit blurry, so if you could retake it and repost it, I could solve for them. :). But if you don’t want to, don’t worry.

g(x)=-4x+1;{-5, -1, 0, 2, 10}

Answers

Answer:G(-5)=21,  G(-1)=5 G(0)=1 G(2)=-7 G(10)=-39

Step-by-step explanation:

Type the missing digit down below
11,466,_39 is divisible by 3

Answers

Answer:

0,3,6,9

Step-by-step explanation:

The divisibility rule for 3 is to add up all the digits and see if it's divisible by three. 1+1+4+6+6+3+9= is divisible by three. So the digit also has to be divisible by 3

Answer:

There are 4 possible answers and they are: 0, 3, 6 or 9

=======================================================

Explanation:

Recall the divisibility by 3 rule is that if the digits add to a multiple of 3, then the original number itself is also a multiple of 3.

Let x be the unknown digit. The number 11,466,x39 has its digits add to:

1+1+4+6+6+x+3+9 = x+30

Notice that 30 is a multiple of 3 since 30 = 3*10. This must mean x has to be a multiple of 3 as well. If x is a single digit and a multiple of 3, then we have the following options: {0,3,6,9}

If any of 0, 3, 6, or 9 replaces x, then the number 11,466,x39 is a multiple of 3.

In other words,

11,466,039 is a multiple of 311,466,339 is a multiple of 311,466,639 is a multiple of 311,466,939 is a multiple of 3

because all the digits add to some multiple of 3.

100 POINTS! Select the correct answer.
Which system of equations is represented by this graph?

Answers

Answer:

A

Step-by-step explanation:

Remember, the equation of slope-intercept is y=mx+b

We see that for A, that the first equation's slope is -2/3. That means we are going to move down two and left five. The reason why we are going down is that the slope is negative. We also know that our y-intercept is -4. So we first plot the point (0,-4). Then we move down two and left five. We apply the same knowledge with the second equation. When we plot both equations, we get the same exact graph as the picture.

Explain how you know when you can factor to solve quadratics as opposed to using the square root method

Answers

Answer:

If there's a common factor, divide both sides of the equation by that number to simplify the situation. If b = 0 (no bx term), go to the square root method. (if c is positive, there are no solutions). If c = 0, then one of your solutions is x = 0

Step-by-step explanation:

hope this helps!!!!

Jacob followed a recipe that requires 2 cups of water for ever 3 cups of flour. If he
used 8 cups of flour, how many cups of water did he use?
2 2/3
4
5 1/3
12

Thank u SOOOOOOOOOO much if u helped me

Answers

Answer:

he used 5 1/3 everything else is to low or high

Question 4 options:
The area of a rectangle is 65 square inches.

The length is x + 5, and the width is x – 3.

Find the value of x, and the dimensions of the rectangle.

A=lw

Answers

I. The value of x is equal to 8.

II. The dimensions of the rectangle are 13 and 5 inches respectively.

Given the following data:

Area of a rectangle = 65 square inches.Length of rectangle = x + 5 inchesWidth of rectangle = x - 3 inches

To find the value of x, and the dimensions of the rectangle:

Mathematically, the area of a rectangle is given by the formula:

[tex]A = LW[/tex]

Substituting the values, we have:

[tex]65 = (x+5)(x-3)\\\\65=x^2-3x+5x-15\\\\65=x^2+2x-15-65\\\\x^2 +2x-80=0\\\\x^2 +10x-8x-80=0\\\\x(x+10)-8(x+10)=0\\\\(x-8)(x+10)=0[/tex]

x = 8 or x = -10

For the length:

when x = 8

[tex]Length = 8 +5[/tex]

Length = 13 inches.

For the width:

when x = 8

[tex]Length = 8 -3[/tex]

Length = 5 inches.

Find more information: https://brainly.com/question/11037225

What is the equation, in slope-intercept form, that relates the cost compared to the miles traveled for a Green Cab?

Answers

Step-by-step explanation:

Red taxi : y = 2x + 2

Green taxi : y = x + 5

Y are the costs of a ride, X are the miles of a ride.

The y-intercepts are the cost of just getting into a cab.

So, that is $2 for a red cab and $5 for a green cab.

Every mile with a red cab costs $2, while every mile with a green cab costs $1.

Hope this helps :)

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