What is the slope and rate of change brainliest 40 points

Answer:

a) Malvern - Sheridan - Pine Bluff

b) Camden - Fordyce - Pine Bluff

c) Benton - Malvern - Sharidan - Arkadepia

d) Benton - Malvern - Sharidan - Arkadepia - Gurden - Camden - Fordyce

e) Benton - Malvern - Sharidan - Arkadepia - Gurden - Camden

Step-by-step explanation:

P.S - The exact question is -

Given - According to a map of Arkansas, a number of good roads connect

some of the towns south of Little Rock. The road between

Malvern and Benton is 23 miles long, and between Benton and Pine

Bluff is 62 miles long. The road between Malvern and Sheridan is

28 miles long, and then from Sheridan to Pine Bluff is 22 miles

long. Arkadelphia is connected to two towns: it is 12 miles from

Gurden and 21 miles from Sheridan. Fordyce has three roads to

these towns: 45 miles to Pine Bluff, 39 miles to Sheridan, and 27

miles to Camden. The road from Gurden to Camden is 38 miles.

To find - Unfortunately, the road from Fordyce to Sheridan is closed due to

dangerous road conditions caused by the recent bad weather. Find

the shortest route between each pair of towns:

a) Malvern and Pine Bluff

b) Camden and Pine Bluff

c) Benton and Arkadelphia

d) Fordyce and Malvern

e) Benton and Camden

Proof -

The figure is as follows :

a)

Shortest route between Malvern and Pine Bluff :

Firstly, put all the vertices to  ∞

Start from Malvern ,

Check the shortest distance from the corresponding vertices of Malvern.

Shortest Distance = min { Malvern - Benton, Malvern -Sheridan }

                              = min { 23, 28 } = 23

⇒Shortest distance is 23 ( Malvern -Benton )

Now,

Check shortest distance from Benton and Malvern

Shortest Distance = min { Benton - Pine Bluff, Malvern -Sheridan }

                              = min { 62, 28 } = 28

⇒Shortest distance is 28 ( Malvern -Sheridan )

Now,

Check shortest distance from Benton and Sheridan

Shortest Distance = min { Benton - Pine Bluff, Sheridan - Pine-Bluff}

                              = min { 85, 50 } = 50

⇒Shortest distance is 50 ( Sheridan - Pine-Bluff )

So,

By back tracking , we get

Shortest Route be -

Malvern - Sheridan - Pine Bluff

And the Shortest distance be = 50 miles

b)

Shortest Route between Camden and Pine Bluff

From Camden -

Shortest Distance = min {Camden-Fordyce, Camden-Gurden }

                              = min { 27, 38 } = 27

⇒Shortest Distance = 27 (Camden-Fordyce )

Now,

Check Shortest distance from Camden and Fordyce

Shortest Distance = min { Camden-Gurden, Fordyce-Pine Bluff }

                              = min { 38, 72 } = 38

⇒Shortest Distance = 38 ( Camden-Gurden )

Now,

Check Shortest Distance from Gurden and Fordyce

Shortest Distance = min { Gurden-Arkadepia, Fordyce-Pine Bluff }

                              = min { 50, 72 } = 50

⇒Shortest Distance = 50 ( Gurden-Arkadepia )

Now,

Check Shortest Distance from Arkadepia and Fordyce

Shortest Distance = min { Arkadepia - Sharidan, Fordyce-Pine Bluff }

                              = min { 71, 72 } = 71

⇒Shortest Distance = 71 ( Arkadepia - Sharidan )

Now,

Check Shortest Distance from Sharidan and Fordyce

Shortest Distance = min { Sharidan - Pine Bluff , Fordyce-Pine Bluff }

                              = min { 93, 72 } = 72

⇒Shortest Distance = 72 ( Fordyce-Pine Bluff )

So, By Back tracking , we get

Shortest route be

Camden - Fordyce - Pine Bluff

Shortest Distance be 72 miles

c)

Shortest route between  Benton and Arkadelphia

By applying the same method ,

If we start from Benton and by using Pine bluff lane, distance be 62 + 45 + 27 + 38 + 12 = 184 miles

And

If we start from Benton and by using Malvern lane, distance be 23 + 28 + 21 = 72 miles

So,

Shortest Route be -

Benton - Malvern - Sharidan - Arkadepia

Shortest distance be 72 miles

d)

Shortest route between  Fordyce and Malvern

By applying the same method ,

If we start from Malvern and by using Benton lane, distance be 23 + 62 + 45 = 130 miles

And

If we start from Malvern and by using Sharidan lane, distance be 28 + 21 + 12 + 38 + 27 = 126 miles

So,

Shortest Route be -

Benton - Malvern - Sharidan - Arkadepia - Gurden - Camden - Fordyce

Shortest distance be 126 miles

e)

Shortest route between Benton and Camden

By applying the same method ,

If we start from Benton and by using Pine Bluff lane, distance be 62 + 45 + 27 = 134 miles

And

If we start from Benton and by using Malvern lane, distance be 23 + 28 + 21 + 12 + 38 = 122 miles

So,

Shortest Route be -

Benton - Malvern - Sharidan - Arkadepia - Gurden - Camden

Shortest distance be 122 miles

Answer:

Step-by-step explanation:

1. ok so you need to use Pythagoras which is a^2 + b^2 = c^2

substituting 16 and 12 into 'a' and 'b' you get 16^2 + 12^2 = c^2

256 + 144 = c^2

400 = c^2 (square root each side to get ride of the square)

c = 20cm

2. doing the same thing you get c = 22.36 in

3. again doing it you get c = 15Ft

 Hope this helps!

Answer:

I don't know how to solve it

Answer:

x^2 + 3x + 9 + 7/x-3

Answer:

1.) 138

2.) 55

Step-by-step explanation:

1.) 8 x 6 = 48 x 2 = 96

   (middle) 8 x 3 = 24

   (triangles) 6 x 3 = 18 divided by 2 = 9 x 2 = 18

96 + 24 + 18 = 138

2.) (middle) 5 x 5 = 25

    (triangles) 5 x 3 = 15 divided by 2 = 7.5 x 4 = 30

     30 + 25 = 55

Hope this helped!!

Answer: c·1.5=3.6

Step-by-step explanation:

Answer

:Assuming you are talking about odium chloride,NaCl your answer would be

87.7 g

we discover the answer because 1 x 22.99 + 1 x 35.99= 58.4 g/mol

1.50 Moles:

We need to multiply our initial  value by 1.50.

1.50 x 58.44/1= 87.66 = 87.7 g

Hope this helps

                                                                       -Tobie the dog <3

angle DCF = angle DCE + angle ECF

angle DCF = 75° + 54°

angle DCF = 129°

Measure of < DCF is  [tex]129^{0}[/tex].

A figure which is formed by two rays or lines that shares a common endpoint is called an angle.

According to the figure

< DCE = [tex]75^{0}[/tex]

< ECF = [tex]54^{0}[/tex]

Measure of < DCF = < DCE + < ECF

=  [tex]75^{0}[/tex] +  [tex]54^{0}[/tex]

= [tex]129^{0}[/tex]

Hence, measure of < DCF is  [tex]129^{0}[/tex].

Find out more information about angle here

https://brainly.com/question/7116550

#SPJ2

Answer:

ASA

Step-by-step explanation:

ANGLE SIDE ANGLE

according to your option

Answer: 28

Step-by-step explanation:

Given

Kenny made 7 serves over the net for every 2 serves that did not go over the net i.e. success rate of Kenny is

[tex]\Rightarrow \text{success rate}=\dfrac{7}{2+7}\times 100=\dfrac{700}{9}\%[/tex]

for 36 serves, applying the same success rate, it is

[tex]\Rightarrow \text{success rate}=\dfrac{700}{9}\times\dfrac{1}{100}\times 36=28[/tex]

Serves that did not make over the net is [tex]36-28=8[/tex]

Thus, Kenny will make 28 serves that make over the net

Answer:

29, and 36

Step-by-step explanation:

65-7= 58

58/2= 29

29+7= 36

Answer:

29 and 36

Step-by-step explanation:

65 split in two since there are 2 people is 32.5

Since there is a 7 year difference, split 7 in half also which is 3.5

Subtract 3.5 from 32.5 to get the younger ones age and and add 3.5 to 32.5 to get the older one's age.

32.5-3.5= 29

32.5+3.5= 36

Answer:- 1/100 degrees Fahrenheit

Step-by-step explanation:

The directions say decreasing so it has to be negative, and the slope is showing how much it is decreasing every meter. y=mx+b. The mx is the slope which is where the answer is located.

Answer:

AC = 8.2 m

AD = 8.57 m

Step-by-step explanation:

The answers were rounded to the nearest hundredth, hope this helps!

Answer:

30

Step-by-step explanation:

took the test

Answer:

24

Step-by-step explanation:

6 x 4 = 24

Answer:

2

Step-by-step explanation:

Hello, my name is Zalgo, and I would be honored to help you out on this Fantastic Friday. The answer to your question would be that X=81. (if you want/need the , it will be down below).

I hope this all helps you out and I hope you have a nice day.

"Stay Brainly and stay proud!" ~ Zalgo

In order to get the answer, first calculate the product for [tex]3*(3^4)=3x[/tex] which will get you [tex]3^5=3x[/tex].

Then you'll want to divide both sides of the equation by 3, taking you from [tex]3^5=3x[/tex] to [tex]3^4=x[/tex].

After that, you need to evaluate the power, so now you have went from [tex]3^4=x[/tex] to 81=x.

And the final step would be to switch the sides of the equation. So instead of ending with 81=x, you'll end with x=81.

Answer:

X=-10 most likely

Step-by-step explanation:

2x+6=x-4

2x-x=-6-4

X=-10

Answer:

x= -10

Step-by-step explanation:

2(x+3) = x-4

Answer:

Step-by-step explanation:

If we multiply x - 7 by x - 3, we get x^2 - 10x + 21.  This shows that the LCD is x^2 - 10x + 21, or (x - 7)(x - 3).  Let's convert each of the two fractions on the right to their equivalents, with the LCD in the denominator.

Multiplying both the numerator and the denominator of 6/(x - 7) by (x - 3), we get 6(x - 3) over x^2 - 10x + 21, which is the LCD.

Similarly, we get 5(x - 7) over x^2 - 10x + 21.

Now all three of the original fractions have the same denominator, x^2 - 10x + 21.  We can now "drop" the LCD, which leaves us with:

x^2 - 29 = 6(x - 3) + 5(x - 7)  

Performing the indicated multiplications, we get:

x^2 - 29 = 6x - 18 + 5x - 35.  Combining like terms:

x^2 - 29 = 11x - 53, or x^2 - 11x + 24 = 0

This factors as follows:   x^2 - 11x + 24 = 0 = (x - 3)(X - 8) = 0

Then the preliminary solutions are x = 3 and x = 8.  Unfortunately, we cannot substitute x = 3 into the original equation, because that would lead to division by zero.  The only valid solution is x = 8, since every term of the original equation is defined at x = 8, and the equation is true for this value.

Repeat:  3 cannot be a solution because the 3rd fraction is undefined at

x = 3.  So we have only one valid solution (8) with no other solution to multiply by 8.

Answer: You may divide by a variable. But only if you know the variable is non-zero. So, if setting the variable to zero makes both sides of the equation zero, we have a solution that that variable is 0, or the equation with the variable divided out holds. E.g. solve x(x-1) = 0.

Answer:

Binomial

Step-by-step explanation:

the polynomial has two terms 6xyz and  xy

Answer: -2

Step-by-step explanation: 6-6=0, and 0-2= -2, so that is how i got my answer

Answer:

-2

Step-by-step explanation:

6 - 8 = -2

please mark as brainliest

Answer:

you put the 3 and the 1 on the graph a you get your answer

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

as for my answer please correct if im wrong

Answer:

Step-by-step explanation:

Each part is equal to 65/(1+4)=$13

Since Stephanie only got 1 part, she got $13.

Step-by-step explanation:

let w = width

length = 3w-2

perimeter = 2*length + 2*width

perimeter = 2(3w-2) + 2w

perimeter = 6w - 4 + 2w

perimeter = 8w - 4

perimeter = 124 inch

8w - 4 = 124inch

+4 to each side

8w = 128inch

divide each side by 8

w = 16

length = 3w-2

           = 3(16) - 2

length = 46 inch

just chose the last one 75% are stars

Answer:

QS is a triangle. Because QS are connected and split down the middle which made a triangle.

Step-by-step explanation: