A line passes through the points (1, 4) and (3,-4). Which is the equation of the line?
Oy--4x+8
O y = -2x + 6
o y--*x+2
o y = 2x + 2

Answer:

y= 3x - 2

Step-by-step explanation:

The line passes through (0, -2). '-2' is the y-intercept.

The line passes through the points (2,4) and (1,1).

[tex]m=\frac{rise}{run}=\frac{1-4}{1-2}=\frac{-3}{-1}=3[/tex]

The equation should be y= 3x - 2.

Hope this helps.

Answer:

m∠2 = 37°

m∠3 = 143°

m∠4 = 37°

Step-by-step explanation:

From the figure attached,

Two arms of the scissors represent he two lines intersecting each other at a point forming pairs of vertical angles ∠1, ∠3 and ∠2, ∠4.

By the definition of vertical angles,

∠1 ≅ ∠3 and ∠2 ≅ ∠4

Since, m∠1 = 143°

Therefore, m∠1 = m∠3 = 143°

m∠1 + m∠2 = 180° [Since linear pair of angles are supplementary]

143° + m∠2 = 180°

m∠2 = 180° - 143° = 37°

Therefore, m∠2 = m∠4 = 37°  

Answer: I say Mike because when you multiply it you end up getting 4 for Mike

Step-by-step explanation:

Answer:

pete ran the furthest at 4 miles

Step-by-step explanation:

pete = 4

jan=3.33

cissy=2.1

mike=2.4

[tex]\large\underline{\underline{\red{\rm\blue{\longmapsto} Step-by-step\: Explanation:-}}}[/tex]

Here , the given data is :

We can calculate Simple Interest using ,

[tex]\boxed{\purple{\bf Simple\: Interest=\dfrac{P\times\:R\:\times\:T}{100}}}[/tex]

On substituting the respective values ,

⇒ SI = P × R × T / 100.

⇒ SI = Rs 4400 × 8 × 3 / 100 .

⇒ SI = Rs 44 × 8 × 3 .

⇒ SI = Rs 1,056 .

Hence the required Interest is Rs 1,056.

Answer:

The Answer is Actually D. I just took the Test and got it Correct! have a Great Day.!!

Step-by-step explanation:

The true statement is that both plans will not amount to $8000 in the end

The target savings is given as:

[tex]Target = \$8000[/tex]

The amount saved after a year is given as:

[tex]Savings = \$4000[/tex]

Start by calculating the amount saved each month (by dividing the saved amount by 12)

[tex]Monthly = \frac{\$4000}{12}[/tex]

For option (A): To increase the wedding by 2 months.

This means that the duration of savings would be 22 months.

So, the estimated savings would be

[tex]Estimate= \frac{\$4000}{12} \times 22[/tex]

[tex]Estimate= \$7333[/tex]

For option (B): Increase savings by $80.

This means that they have 8 months to complete their savings

The estimated savings would be

[tex]Estimate= \$4000 + (\$80 + \frac{\$4000}{12}) \times 8[/tex]

[tex]Estimate= \$7307[/tex]

For both plans, the estimated savings are short of the target savings of $8000.

Hence, none of the plans would amount to $8000 in the end

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Answer:

1 63636363 /1000000000

Step-by-step explanation:

Since it is 1. ..., it would be a mixed number with the 1 out front. There are 9 numbers after the decimal, making the denominator one billion, and then take the actual numbers (63) and make them the numerator.

Answer:

A

Step-by-step explanation:

21 yards and Total cost of $146.58

p = 1 yard

Equation: 21p = 146.58

p = 146.58/21

p = 6.98

21p=146.58 will describe the equation and the amount paid for each yard is $6.98 so option (A) will be correct.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Amount of fabric = 21 yards

Since cost per yard of fabric is given by p

So,

The total cost of fabric = Amount of fabric ×  cost per yard

146.58 = 21p

21p=146.58

Now,

p = 146.58/21 = 6.98.

Hence "21p=146.58 will describe the equation and the amount paid for each yard is $6.98".

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Answer:

16

Step-by-step explanation:

x^2-8x+k is a quadratic expression of the form ax^2 + bx + c.  Here a = 1, b = -8 and c = k.  Focus on x^2-8x and complete the square as follows:  Take half of the coefficient of x (that is, take half of -8) and square the result:

(-4)^2 = 16; if we now write x^2-8x+ 16, we'll have the square of (x - 4):  (x -4)^2.

Thus, k = 16 turns x^2-8x+k into a perfect square.

Step-by-step explanation:

1) -12y -9 -8y +24= -20y +15

2) 5b -20 +12= 5b-8

Answer:

1. -20y-3.    2. 5b-8

Step-by-step explanation:

1. -12y-9-8y+6

-20y-3

2. 5b-20+12

5b-8

Answer:

-9/17

Step-by-step explanation:

Answer:

Yes, it should work.

Step-by-step explanation:

DC=AB  (because it is a rectangle and they are parallel)

DA=CB (because it is a rectangle and they are parallel)

DB=AC (given)

Those are all sides and gives enough information for us to know that it is congruent.

Answer:

X^2+xy-x+y^2-y-12

Step-by-step explanation:

I think i did it right but if not comment back and i'll try again.

Answer:

x=15

Step-by-step explanation:

8x=120

8x/8=120/8

x=15

Answer:

Nine point two hundred two

Answer:

x = 3.9

Step-by-step explanation:

5(2x-3)=24

Distribute

10x -15 = 24

Add 15 to each side

10x-15+15 = 24+15

10x = 39

Divide each side by 10

10x/10 = 39/10

x = 3.9

Answer:

1. 8x2 - 7x + 4x3 - 2-3x2 + 9x - 4 = 16+2x

Step-by-step explanation:

1. Multiply all the multiplication problems (should look like this --> 16-7x+12-2-6+9x-4)

2. Calculate the sum or difference (should end up looking like this --> 16-7x+9x) and then into this (16 +2x)

Bringing us to the answer → 16 + 2x!

The steps are;

Let us assume the quadratic equation x² - 2x + 1 = 0

To solve this by factoring;

Step 1: We will first look for two numbers such that if added will give the coefficient of x and if multiplied will give the product of the constant andthe coefficient of x²

For the given equation, the two values are -1 and -1

The quadratic equation becomes;

x² - 1x - 1x + 1 = 0

x² - x - x + 1 = 0

(x²-x)-1(x-1) = 0

Step  2: Factorize the common value from both brackets

x(x-1)-1(x-1) = 0

x-1 = 0 and x - 1 = 0

x = 1twice

The given steps are the ways you can solve quadratic equations in one variable using factoring method

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Answer:

a)30-100/1000 • 120

Step-by-step explanation:

Given:

Remaining volume of fuel in a cars tank = I - E • D

where,

I = initial volume of fuel

E = fuel efficiency

D = distance traveled.

Carson

I = 30

E = 100

D = 120

Estimated volume of fuel in Carson's tank = I - E • D

= 30 - 100/1000 * 120

a)30-100/1000 • 120

Answer:

A (30-(100/1000)x120)

Step-by-step explanation:

I is a volume quantity, D is a distance quantity, and E is a rate measured as volume/distance.

So ExD gives us volume quantity.

Distance units are consistent (kilometers) but the volume units of E are inconsistent with those of I and the desired answer.

Let's convert E to liters per kilometer. We will use the fact that there are 1000 cubic centimeters per liter.

You get: 30 liter - 100/1000 liters/kilometer x 120 kilometers

In conclusion, this is the calculation that will give us the estimated volume of fuel that remains in Carson's tank by the end of the drive, in liters:

30-100/1000x120.

Hope this helps!

Answer:

a. Revenue is the amount of income earned before paying costs of production, while profit is the financial benefit gained after paying costs of production.

Step-by-step explanation:

Answer:

The answer is indeed A

Step-by-step explanation:

..........

Answer:

10n+10=8n-10

n= -10

I hope this helps

Answer:

[tex]Speed = 1.875 miles/hour[/tex]

Step-by-step explanation:

Given

[tex]Speed = 33in/s[/tex]

Required

Convert to mile/hour

[tex]1\ inch = 1/63360\ mile[/tex]

[tex]1\sec = 1/3600\ hr[/tex]

So:

[tex]Speed = 33in/s[/tex]

[tex]Speed = \frac{33 * 1/63360}{1/3600}[/tex]

[tex]Speed = \frac{33/63360}{1/3600}[/tex]

[tex]Speed = \frac{33}{63360}/\frac{1}{3600}[/tex]

[tex]Speed = \frac{33}{63360} * \frac{3600}{1}[/tex]

[tex]Speed = \frac{33 * 3600}{63360}[/tex]

[tex]Speed = \frac{118800}{63360}[/tex]

[tex]Speed = 1.875 miles/hour[/tex]

Hence, John is working at 1875 miles per hour

Answer:

1.875 a hour

Step-by-step explanation:

It is this way because 33/12 is 2.75 so he is walking 2.75 feet a second

Multiply the second by 3600 and the 2.75 feet by 3600 and you get 9900

per hour divide 9900 by 5280 and you get 1.875

From the information given ,the value of x is 4

A line segment is simply defined as the portion of a line connecting two points that are known to be the endpoints.

From the information given, we have that;

Line RS has three segments which are line RS, Line ST and line RT, also S is the midpoint between points R and T

Given that;

Then,

RS + ST = RT

Substitute the values

2x + 5x + 4 = 32

collect like terms

7x + 4 = 32

7x = 32 - 4

7x = 28

Make 'x' the subject

x = 28/ 7

x = 4

Thus, the value of x is 4

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Answer:

9581

Step-by-step explanation:

8393 + 1188 = 9581

Answer:

[tex]-\frac{1}{4}=-0.25[/tex]

Step-by-step explanation:

hope it helps and fell free to put brainist

Answer:

The correct answer is -8 and 7

Hope you have a wonderfull day :)

Answer:

y = ✔ 1x+ ✔ -3

Step-by-step explanation:

The equation of the line passing through the points (2, -1) and (10, 7) is y =  x - 3.

The point slope form of a line is given by -

y - y₁ = m(x - x₁)

Given is a line that passes through the points (2, -1) and (10, 7).

The point - slope form of a line is given by the general equation -

y - y₁ = m(x - x₁)

We will find the slope of the line as follows -

m = (7 + 1)/(10 - 2) = 8/8 = 1

The line passes through the point (2, -1), so we can write the equation of line as -

y - (- 1) = x - 2

y + 1 = x - 2

x - y = 3

y =  x - 3

Therefore, the equation of the line passing through the points (2, -1) and (10, 7) is y =  x - 3.

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-0.5

Step-by-step explanation:

Negative , has low correlation

Answer:

3 i think

Step-by-step explanation: