Graph the line that passes through the points (6,8) and (2,-2) and determine the equation of the line.​

Use the area of rectangle formula which is:

[tex] \displaystyle \large \tt{A = width \times length}[/tex]

Given that:

Substitute in the formula:

[tex] \displaystyle \large{16 = 8 \times (x - 5)} \\ \displaystyle \large{16 = 8(x - 5)}[/tex]

Distribute 8 in the expression:

[tex] \displaystyle \large{16 = (8 \times x) + (8 \times ( - 5))} \\ \displaystyle \large{16 = 8x - 40}[/tex]

Move -40 to another side and change from -40 to 40.

[tex] \displaystyle \large{16 + 40 = 8x} \\ \displaystyle \large{56= 8x} \\ [/tex]

Then move 8 to divide 56, leaving only x.

[tex] \displaystyle \large{ \frac{56}{8} = x} \\ \displaystyle \large{7 = x} \\ [/tex]

Hence, the answer is:

[tex] \displaystyle \large \boxed{x = 7} \\ [/tex]

Answer:

option A is the correct answer.

Answer:

31 Minutes

Step-by-step explanation:

4.78 = 0.15 + 0.58

0.15m = 4.78 - 0.58

m = 4.78 - 0.58 divided by 0.15 = 28 minutes

So in total we have 28 + 3 = 31 minutes

[tex]\boxed{\underline{\bf \: ANSWER}}[/tex]

Adding -3 is equal to b. subtracting 3.

Take a look at the example (hint) they have given in the question.

[tex] \sf \: 5 + ( - 3) = 2 \\ \sf \: 5 \: \underline{- 3} \: = 2 \\ \sf2 = 2[/tex]

We can see that, when we took + (-3) as - 3, the equation still worked. So, therefore -> Option B. is the correct answer.

_____

Hope it helps.

RainbowSalt2222

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

[tex] \sf \: 5 + ( - 3) = 2 \\ \sf 5 - 3 = 2 \\ \boxed{\bf \: 2 = 2}[/tex]

Answer:

0.23 x 3.1 = 0.713

Step-by-step explanation:

the decimal moves 2 to the left since 23 became 0.23

Step-by-step explanation:

f(x) - g(x) = 3x² + x - 3 - ( x² - 5x + 1 )

= 3x² + x - 3 - x² + 5x - 1

= 2x² + 6x -4

This is correct answer.

Answer: The greatest number of students for whom 30 apples, 45 pears and 60 oranges can be distributed equally is 15.

Step-by-step explanation:

taking HCF

so

HCF of 30,45,60

30 = 2*5*3

45 = 3*3*5

60=3*2*2*5

HCF = 3*5 = 15

so

1 student will get = 30/15 = 2 apples

1 student will get = 45/15 = 3 pears

1 student will get = 60/15 = 4 oranges

Answer:0

Step-by-step explanation:

let k=1 and x= 0

30 * 1 *0 + 6 * 1 * 0

0 ANs

Answer:

[tex]p=-6.25[/tex] or [tex]p=\displaystyle-\frac{25}{4}[/tex]

Step-by-step explanation:

[tex]-160=22+8(3p-4)[/tex]

Our goal here is to isolate p on one side of the equation. We will do this by performing inverse operations on both sides.

Subtract 22 from both sides:

[tex]-160-22=22+8(3p-4)-22\\-182=8(3p-4)[/tex]

Divide both sides by 8:

[tex]-22.75=3p-4[/tex]

Add 4 to both sides:

[tex]-22.75+4=3p-4+4\\-18.75=3p[/tex]

Divide both sides by 3:

[tex]-6.25=p[/tex]

You can also convert this into a fraction:

[tex]p=\displaystyle-\frac{25}{4}[/tex]

I hope this helps!

Since, 1 gallon = 3.78541 liters

Therefore, 20 gallons = 75.7082 liters

That means amount of gasoline in the gas tank is 20 gallons or 75.7082 liters.

It's given in the question that E15 gasoline contains 15% of alcohol.

Therefore, amount of alcohol in the gas tank = 15% of 75.7082

                                                                           = 11.35623

                                                                           ≈ 11.36 liters

Learn more,

https://brainly.com/question/618776

Amount of total Alcohol in liters is 11.355 liter.

Given:

Amount of total gas solution = 20 gallon

Amount of Alcohol in total gas = 15%

Find:

Amount of total Alcohol in liters

Computation:

1 Gallon = 3.785 liter (Approx.)

Amount of total gas solution in liter = 20 × 3.785

Amount of total gas solution in liter = 75.7 liter (Approx.)

Amount of total Alcohol in liters = Amount of total gas solution in liter × Amount of Alcohol in total gas

Amount of total Alcohol in liters = 75.7 × 15%

Amount of total Alcohol in liters = 75.7 × 0.15

Amount of total Alcohol in liters = 11.355 liter (Approx.)

Learn more:

https://brainly.com/question/1578538?referrer=searchResults

Answer:

8

Step-by-step explanation:

2+(3×2)=2+6=8

Answer and Step-by-step explanation:

-2 is the correct answer.

But, you should set up your number line like this:

 -6                       4

<-|-----------|----------|->

              -2

4 - 6 = -2

#teamtrees #PAW (Plant And Water)

I hope this helps!

Answer:

Ans:

Step-by-step explanation:

AB+BC=AC

AB=BC

It is the centroid for both the endpoints

Answer:

63

Step-by-step explanation:

Area = large rectangle + small rectangle + triangle

A = (L1 * W1) + (L2 * W2) + 1/2 base * heigth)

A = (9 * 5) + (2 * 3) + 1/2(((2 + 5 + 2) - (3)) * 4))

A = 45 + 6 + 1/2((9 - 3) * 4)

A = 51 + 1/2(6 * 4)

A = 51 + 1/2(24) = 51 + 12 = 63

Answer:

y = - [tex]\frac{1}{3}[/tex] x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - [tex]\frac{1}{3}[/tex] , then

y = - [tex]\frac{1}{3}[/tex] x + c ← is the partial equation

To find c substitute (6, 3 ) into the partial equation

3 = - 2 + c ⇒ c = 3 + 2 = 5

y = - [tex]\frac{1}{3}[/tex] x + 5 ← equation of line

Answer:

x = -1

Step-by-step explanation:

3x - (7x +12) = 2(x - 3)

3x - 7x - 12 = 2x - 6

-4x - 12 = 2x - 6

-12 = 6x - 6

-6 = 6x

x = -1

Check:

-1(3) - (-1(7) + 12) = 2(-1 - 3)

-3 - (-7 + 12) = -2 - 6

-3 - (5) = -2 - 6

-8 = -8

correct!

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

9.25≤x≤64.15

Step-by-step explanation:

The smallest amount would be 5 of the least priced item

5 * 1.85 =9.25

The largest amount would be 5 of the greatest priced item

5 * 12.83 =64.15

9.25≤x≤64.15

Answer: 12v² + 18v

Step-by-step explanation:

Given

6v (2v + 3)

Apply distributive property by multiplying 6v to both 2v and 3

= 6v · 2v + 6v · 3

= 12v² + 18v

Hope this helps!! :)

Please let me know if you have any questions

Answer:

Mid point of A(9,2) and B(6,44) is (7.5, -1)

Step-by-step explanation:

I. If mid point = [tex]\frac{x_{a} +x_{b} }{2}[/tex], [tex]\frac{y_{a}+ y_{b} }{2}[/tex]

 So (x) = (9 + 6) / 2 = 7.5

       (y) = (2 + (-4)) / 2 = -1

So (x,y) = (7.5, -1)        

Leave more question below, I don't understand you question well.

Answer:

c

Step-by-step explanation:

i think it's correct and helping you

Answer:

x=15

Step-by-step explanation:

3(x-5)=30

First, you would distribute the three to the x and the negative five.

3x-15=30

Then you would add 15 to the 15 to cancel it and to the 30 to make it even.

3x-15=30

  +15=+15=

3x=45

Finally, you would divide 3 into both sides, cancelling out the three and fiving you,

x=15

Hope this helped!

Start by distributing the 3 through the parenthses on the left side.

This gives us 3x - 15 = 30.

Now add 15 to both sides to end up with 3x = 45.

Dividing both sides by 3, we fin that x = 15.

Answer:

the total money they get by the morning show is 2790$

Answer:

7, 5, 1, 3

Step-by-step explanation:

Hope this Helps!

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Answer:

Step-by-step explanation:

The acceleration due to gravity on the surface of the Moon is about 1.625 m/s2. So, an object the mass of 10 kg. will weigh 10 × 1.625 = 16.25 N (newton) on the moon.

The mass will be 16.25 Kg

Acceleration due to gravity is the acceleration gained by an object due to gravitational force. Its SI unit is m/s2. It has both magnitude and direction, hence, it’s a vector quantity. Acceleration due to gravity is represented by g. The standard value of g on the surface of the earth at sea level is 9.8 m/s2.

Gravity is the force with which the earth attracts a body towards its centre. Let us consider two bodies of masses ma and mb. Under the application of equal forces on two bodies, the force in terms of mass is given by:

mb = ma [aA/aB] this is called an inertial mass of a body.

Given:

mass of object = 10 kg

Acceleration due to gravity on Moon

=1.625 m/s²

So,

Mass of object on moon= 1.625 * 10 = 16.25 Kg

Learn more about acceleration due to gravity here:

https://brainly.com/question/13860566

#SPJ2

Answer:

the correct answer is b in case of number 1

Step-by-step explanation:

Answer:

48 children went to the big picnic

Step-by-step explanation:

hope that helps>3

Answer:

48 children

Step-by-step explanation: