Find the slope of the line that passes through (3, 7) and (6, 8).

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer 1

Answer:

Slope = 1/3

Step-by-step explanation:

Step 1: Define general form of equation of line

An equation of a straight line on two-dimensional plane could be represented in form of: y = Mx + b, with M is slope and b is y-intercept

Step 2: Set up the system to solve for slope M of equation of line

That equation passes 2 points, which are represented in form of (x, y), (3, 7) and (6, 8).

Substitute these values of x and y into the original equation in step 1:

7 = 3M + b

8 = 6M + b

Step 3: Solve the system of equations in step 2 for M

Subtract 1st equation from 2nd equation:

8 - 7 = 6M - 3M + b - b

Simplify both sides:

1 = 3M

Divide both sides by 3:

=> M = 1/3

Hope this helps!

:)

Answer 2

Answer:

[tex]slope = \frac{1}{3} [/tex]

Step-by-step explanation:

[tex](3 \: \: \: ,\: \: \: 7) = > (x1 \: \: \: ,\: \: \: x2) \\ (6 \: \: \: ,\: \: \: 8) = > (y1 \: \: \: \: , \: \: \: y2)[/tex]

[tex]slope \\ = \frac{y1 - y2}{x1 - x2} \\ = \frac{7 - 8}{3 - 6} \\ = \frac{ - 1}{ - 3} \\ = \frac{1}{3} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!


Related Questions

What fraction is equivalent to 5%?

A: 50/100
B: 1/20
C: 5/10
D: 1/5

Answers

Answer:

1/20

Step-by-step explanation:

5%

Percent means out of 100

5/100

Divide top and bottom by 5

1/20

Answer:

HI THERE,THE ANSWER IS

B

Step-by-step explanation:

[tex]\frac{1}{20} \\[/tex] X 100%=5%

(02.03)At a dog shelter, a 26-pound bag of dog food will feed 40 dogs. How many dogs would you expect to feed with a 13-pound bag of dog food? (Input only whole numbers.)

Answers

Answer: 20 dogs





Explanation: The quickest way is to make a fraction of 26/40. 26 divided by 2 is 13 and 40 divided by 2 is 20.



The best way is to set up a proportion: 26 lbs/40 dogs=13 lbs/x dogs.

Cross multiplying (26*x and 13*40) leaves us with 520=26x.

When we divide both sides by 26, we find that 20 dogs is the answer.

How do you make x the subject for (A) please?

Answers

Answer:

x = y / (4x+11)

Step-by-step explanation:

y = 4x^2 + 11x

4x^2 + 11x - y = 0

4x^2 + 11x = y

x(4x + 11) = y

x = y / (4x+11)

Ace Electronics, Hi-Fi Stereo, and CD World buy a total of 195 DVD players from the same distributor each month. Because CD World buys 35 more units than the other two stores combined, CD World's cost is only $160 per unit. The players cost Hi-Fi $165 each and Ace $170 each. How many players does each retailer buy each month if the distributor receives $31,750 each month from the sale of the players to the three stores?

Answers

Answer:

Ace Electronics buys 30, Hi-Fi Stereo buys 50, and CD World buys 115

Step-by-step explanation:

Let x represent the number of items Ace Electronics buys

Let y represent the number of items Hi-Fi Stereo buys

Let z represent the number of items CD World buys

Since Ace Electronics, Hi-Fi Stereo, and CD World buy a total of 195 DVD players:

x + y + z = 195   (1)

Since CD World buys 35 more units than the other two stores combined:

z = x + y + 35   (2)

If you substitute z in equation 1 from equation 2:

x + y + (x + y + 35) = 195

2(x + y) = 195- 35

x + y = 80   (3)

Since z = x + y + 35:

z = 80 + 35

z = 115

Since CD World's cost is $160 per unit, Hi-Fi 's cost is $165 per unit and Ace Electronics's cost is $170 per unit and the total payment received is $31,750

170x + 165y + 160z = 31750   (Substitute x from equation 3 and z as 115)

170(80-y) + 165y + 160(115) = 31750

13600 - 170y  + 165y + 18400 = 31750

32000 - 5y = 31750

5y = 250

y = 50

Since x + y = 80:

x + 50 = 80

x = 30

can someone tell me how to do area i forgot

Answers

Answer:

the answer is

length * width

or side * side

Step-by-step explanation:

Answer:

Below:

Hope this helps :DDD

Step-by-step explanation:

Area of rectangle / square / parallelogram: Base * height

Area of triangle: [tex]\frac{Base*height}{2}[/tex]

Area of equilateral triangle: [tex]\frac{\sqrt{3} }{4} side^2[/tex]

Area of trapezoid:  [tex]\frac{Base1 + Base2}{2}*height[/tex]

Area of circle: [tex]\pi r^2[/tex]

Area of rhombus / kite: [tex]\frac{Diagonal1 * Diagonal2}{2}[/tex]

Point A is at (6,-6) and point C is at (-6,-2). Find the coordinates of point B on line AC such that AB= 3/4 AC

Answers

Answer:

-3, -3

Step-by-step explanation:

The coordinates of point B on line AC is (6/7, -30/7).

Given that, A(6, -6), C(-6,-2) and AB= 3/4 AC.

What is the section formula?

The section formula is P(x, y)[tex]=(\frac{mx_{2} +nx_{1}}{m+n}, \frac{my_{2} +ny_{1}}{m+n} )[/tex].

Now, AB= 3/4 AC⇒AB:AC=3:4

P(x,y)[tex]=(\frac{3(-6)+4(6)}{3+4}, \frac{3(-2) +4(-6)}{3+4} )[/tex]

=(6/7, -30/7)

Therefore, the coordinates of point B on line AC is (6/7, -30/7).

To learn more about the coordinates visit:

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another EASY question for y’all mathy people, easy points! Question in photo.

Answers

C. 10 cm, 24 cm, 26 cm

Answer:

the answer is c

Step-by-step explanation:

Identify the diameter if given the radius and the radius if given the diameter of given circles: 7 cm 25 cm 28 cm 35 cm 100 cm 140 cm Radius = 70 cm Radius = 14 cm Diameter = 14 cm Diameter = 50 cm Radius = 70 cm Radius = 14 cm Diameter = 14 cm Diameter = 50 cm

Answers

Answer:

Radius. 7, 25, 14, 35, 50, 70

Diameter 14, 50, 28, 70, 100, 140

if f(x) = 3x-2 and g(x) =2x+1 fine (f-g)(x)

Answers

Answer:

=x -3

Step-by-step explanation:

f(x) = 3x-2

g(x) =2x+1

(f-g)(x) = 3x-2 -(2x+1)

Distribute the minus sign

           = 3x-2 -2x-1

Combine like terms

           =3x-2x-2-1

           =x -3

Can someone please help me

Answers

Answer:

1) A.

2) C.

Step-by-step explanation:

1) 1 pint = 1/2 quarts

15 pints = 15 × 1/2 quarts

15 pints = 15/2 quarts

15 pints = 7 1/2 quarts

2) 1 quarts = 0.95 liters

4 quarts = 0.95 × 4 liters

4 quarts = 3.8 liters

Debbie buys a tree for the holidays. She would like to determine the amount of space it will take up in her living room. The tree is cone shaped and has a radius of 2 feet. Find the volume of the tree if it is in the shape of a cone and its height is two times its radius. The radius of a cone whose height is is equal to two times its radius is given as: r equal to cube root of (3V/4π)

Answers

Answer:

Volume of Cone =

[tex]= \frac{1}{3}\pi (2)^2 (4)\\\\=\frac{1}{3}(3.14)(4)(4)\\\\=\frac{1}{3}\times 3.14\times 16 \\\\=\frac{1}{3}\times50.24\\\\=16.746\\\\\approx16.75 \texttt {ft} ^3[/tex]

Thus, Volume = 16.75 cubic feet

Step-by-step explanation:

Volume of a cone is given by the formula  

[tex]V=\frac{1}{3}\pi r^2 h[/tex]

Where r is the radius and

h is the height

Given radius r = 2 and

height is 2 times that.

So height is 2*2 = 4

Plugging these into the formula we get:

Volume of Cone =

[tex]= \frac{1}{3}\pi (2)^2 (4)\\\\=\frac{1}{3}(3.14)(4)(4)\\\\=\frac{1}{3}\times 3.14\times 16 \\\\=\frac{1}{3}\times50.24\\\\=16.746\\\\\approx16.75 \texttt {ft} ^3[/tex]

Thus, Volume = 16.75 cubic feet

An ordinary dice is thrown once write down the probability that the dice lands on a number less that 3

Answers

Answer:

Probability = [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Ordinary dive have sides = 6

Numbers less than 3 on it are = 2

Probability = [tex]\frac{No. OFPossibeOutcomes}{Total NumberOfOutcomes}[/tex]

Probability = [tex]\frac{2}{6}[/tex]

Probability = [tex]\frac{1}{3}[/tex]

Answer:

= 1/3

Step-by-step explanation:

There are two numbers less than 3= 1 and 2

there are total 6 numbers in a dice. So,

                                                      = 2/6 = 1/3

Mr. Green’s lawnmower holds 600milliliters of gasoline in the tank. He just filled his 6-liter gas can at the station. How many times will he be able to fill his lawnmower tank from the gas can

Answers

Answer: 10 times

Step-by-step explanation:

1 litre = 1000 ml

6 litres = 6000 ml

Lawnmover holds 600 ml

So 6000 ml will fill

6000/600 = 10 times

If a number is increased by 12 and then divided by 4​, the result is 5. The algebraic equation is ?. The number is x= ?

Answers

Answer:

I don't have an answer but I have a helpful example.

If a number is increased by 8, the result is 25 Find the number.

Step-by-step explanation:

Let x be the number.  Increasing x by 8 gives x + 8, which we are told is 25.  Therefore, x + 8 = 25.  Subtract 8 from both sides to find x = 17.  So, the number is 17.

3x^2 -5x -2=0
help factor left side please!!
y’all i didn’t sleep at all last night and i cannot remember how to factor the first half of the equation help me out asap please guys

Answers

Answer:

Step-by-step explanation:

1. Find two numbers that add to make the coefficient of x (in this case, -5) and that multiply to make the constant term multiplied by the coefficient of x^2 (in this case, -2 x 3 = -6)

Two numbers that work are -6 and +1

-6 x +1 = -6

-6 + -1 = -5

2. Split the middle term into the two numbers that you found.

3x^2 -6x +x -2 = 0

I've put the -6 on the left side because in our next step, when we factorise, it will be easier than having the numbers the other way around.

3. Factorise the left side by taking out common factors from each pair. The pairs I'm talking about here are '3x^2 and -6x', and 'x and -2'

3x (x-2) +1 (x-2) = 0

4. You now have two numbers both being multiplied by the term x-2. We can rearrange this equation to give us two brackets being multiplied by each other.

(3x + 1) (x-2) = 0

5. According to the Null Factor Law, if two terms are multiplied together and the result is 0, then one of those terms must be 0. Make both terms equal to 0 and solve each for x.

3x + 1 = 0              x-2 = 0

3x = -1                   x = 2

x = -1/3

6. The solutions to this equation are x = 2 and x = -1/3

Answer:

Step-by-step explanation:

Start by separating (not factoring) -5x.  For example, we might get {-2x, - 3x} (note how these combine to produce -5x).  Might have to try several combinations to find the right one.

Then 3x^2 -5x -2=0 could possibly be x(3x - 2) - (3x - 2), or

                                                                x(3x - 2) - 1(3x - 2).

Notice how the factor (3x - 2) shows up twice.  If we factor out (3x - 2) we are left with (x - 1).  We check these results by multiplying (3x - 2) and (x - 1) together, so we can be sure that the result is the original 3x^2 -5x -2=0.

(3x - 2)(x - 1) = 3x^2 - 3x - 2x + 1 results in 3x^2 - 5x + 2.  Unfortunately, the sign of that 2 is incorrect; we'd hoped for -2, not +2.

To check this further, I used synthetic division with 1 as divisor; the remainder is -4, which tells us that (x - 1) is not a factor of 3x^2 -5x -2=0.

Please double check to ensure that you have copied this problem down correctly.

what is the slope line of m (0,6),(3,0)

Answers

Answer:

slope= y²-y¹

x²-x¹

0-6

3-0

-6

3

= -2

Albert is a server at an all-you-can-eat sushi restaurant. At one table, the customers ordered 4 child buffets and 1 adult buffet, which cost a total of $86. At another table, the customers ordered 4 child buffets and 3 adult buffets, paying a total of $130. How much does the buffet cost for each child and adult?

Answers

Answer:

The buffet cost $16 for adults and $22 for kids

The solutions to the inequality y ≤ −x + 1 are shaded on the graph. Which point is a solution?

Answers

You didn’t attach a picture with this

It should be B children

Bye giggity giggity gamers! nyah :3

The table shows some information about the five great Lakes of North America

Answers

Answer:

add me on snap kingmadness7062

Step-by-step explanation:

Total surface area of all the lakes combined is 24.5×10¹⁰

What is the Total Surface Area?

Total surface area refers to the area including the base(s) and the curved part. It is the total area covered by the surface of the object. If the shape has a curved surface and base, then the total area will be the sum of the two areas.

Given here; The surface area of the lakes and we are required to find The total surface area of all the lakes.

Thus we have TSA= (2.57 + 6.01+5.80+1.91+8.21)×10¹⁰

                               =24.5 ×10¹⁰

Hence, total surface area of all the lakes combined is 24.5×10¹⁰

Learn more about the Total surface area here:

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-6(4 + 5v) - 3 = -57 solve for V

Answers

-6(4 + 5v) - 3 = -57

Use distributive properties

-24 -30V -3 = -57

Combine like terms

-27 -30v = -57

Add 27 to both sides

-30v = -30

Divide both sides by -30

V=1

Answer:

v = 1

Step-by-step explanation:

-6(4 + 5v) - 3 = -57

Add 3 to each side

-6(4 + 5v) - 3+3 = -57+3

-6(4 + 5v)  = -54  

Divide by -6 on each side

-6(4 + 5v)  / -6 = -54/-6

4+5v = 9

Subtract 4 from each side

4+5v-4 = 9-4

5v = 5

Divide each side by 5

5v/5 = 5/5

v =1

What are the equations of the asymptotes for the function?

f(x)=−3x/−1 −1
vertical asymptote: x=

horizontal asymptote: y=

Answers

Answer:

Vertical asymptote x= 1

Horizontal asymptote y= -1

Step-by-step explanation:

Answer:

no asymptotes

Step-by-step explanation:

since y=-3x-1-1 is not a ratinal expression there are no asymptotes.

A school records the number of pupils that were late each month

Answers

Answer:

Colin is wrong

Explanation given below..

Hope it helps!

Step-by-step explanation:

No he's is not correct because the number of pages in January was 30 while the number of pages in March was 20. 20 is not half of 30 and hence it can be concluded that Colin is wrong. For the statement to be correct the number of lates in march should be 30/2 that is equal to 15.

Colin is wrong!

the graph only increases by 10s after 20!

Which of the following best describes the English expression the product of
nine and a number minus five?

Answers

Answer:

9n-5

Step-by-step explanation:

Let n=the number:

9n-5

9n-5
Nine and a number minus five

A rectangular prism has a length of 4 cm, a width of 6 cm, and a height of 3 cm. what is it’s volume

Answers

Answer:

72 cm³

Step-by-step explanation:

The formula for the volume of a rectangular prism is:

V = lwh

where l is the length, w is the width, and h is the height

Let's substitute the given values into this formula:

V = lwh

V = (4)(6)(3)

Solve:

V = (4)(6)(3)

V = (24)(3)

V = 72

Therefore, the volume is 72 cubic centimeters.

Answer:

The answer is 72 cm3

Step-by-step explanation:

4 times 6 times 3

24 times 3

72

;))))))

(Brainliest will be given) Determine which of the following descriptions is accurate.

Answers

Answer:

B the size of the circle is a function of the height of the rectangle

Step-by-step explanation:

Please tell me if it is right and give me thanks and brainleist only if right

The complex conjugates theorem states that
another factor of the polynomial is

Answers

Answer:

Step-by-step explanation:

...exactly the same but with a different sign separating them. For example, if a root of a polynomial is

3 + 4i, then the other root has to be 3 - 4i because they always come in pairs. Always!! If a root is -2 - 3i, then the other root has to be -2 + 3i. Notice that the only sign that will change is the one that separates the a part of the complex number from the b part.

This phenomenon also applies to radicals. If we have a root that is [tex]-3 + \sqrt{5}[/tex][tex]-3 +\sqrt{5}[/tex] then the other root has to be [tex]-3 -\sqrt{5}[/tex]

Answer:

x-3i

Step-by-step explanation:

(check the pic) please help asp!! 37 points for this and if you answer this fully I will make you brainilest!

Answers

Answer:

See explanation

Step-by-step explanation:

During September, they ran half a mile once, 1 mile twice, 1.5 miles 4 times, and 1.75 miles once. This is a total of 8 runs below 2 miles in length. Meanwhile, they ran 2 miles twice, 2.5 miles twice, 2.75 miles 4 times, and 3 miles 5 times, a total of 13 runs over 2 miles. Therefore, Michelle is correct. Hope this helps!

How do I solve this ?

Answers

Answer:

Base is 5/6

Step-by-step explanation:

We calculate the area of a triangle by multiplying height to the base and that divided by two

Let's call the base X

5/36 cm^2 = 1/3 × X ÷ 2 multiply both sides of the equation by 2

2 × 5/36 = 1/3 × X ÷ 2 × 2

5/18 = X/3 now divide both sides by 3

5/18 ÷ 3 = X/3 ÷ 3

X = 5/6

A middle school took all of its
six grade students on a field trip to see a ballet at the theater that has 1000 seats the students for the 45% of the seats in the theater how many six graders went on a trip ?

Answers

if there is 1000 seats, and the students took 45% percent of them, then 450 sixth graders went on the trip

Officer Brimberry wrote 32 tickets for traffic violations last week, but only 12 tickets this week. What is the percent decrease? Give your answer to the nearest tenth of a percent.

Answers

Answer:

62.5 %

Step-by-step explanation:

Take the original amount and subtract the new amount

32-12 = 20

Divide by the original amount

20/32 =.625

Multiply by 100 to get to percent form

62.5 %

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