Write an equation in point-slope form of the line that passes through (-1, – 4) with slope -2.

Answer:

(x+3)(x-6)

Step-by-step explanation:

use photomath

Answer:

6

Step-by-step explanation:

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

4 - 2 = 2

If you take 3 and add 3, you get 6, and if you take 1 and add 1 you get 2, so 2/6.

4/6 - 2/6 = 0.33333333333

So I'd say about 2.3333333333 is the length of Zanique's garden, in a fraction... um... 233333333333/10000000000

That's all I could come up with. Don't judge me

Answer:

Step-by-step explanation:

70p/5=14

14*4=56*10=560p

14*3=42*20=840p

840+560+70=1470

=1470p or (£14.70)

The total value of money in the jar is 270p.

Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.

Given:

The number of 5p, 10p, and 20p coins in a jar are in the ratio 7:4:3.

That means,

Number of 5p coins are 5x, 10p coins are 4x and 20p coins are 3x.

And 5p coins are worth 70p.

That means, x = 70p/5p

x = 14

So,

The total worth of coins are,

= 70p + 80p + 120p

= 270p

Therefore, the worth of the coins are 270p.

To learn more about the addition;

brainly.com/question/29464370

#SPJ2

Answer:34 1/2 cubes can fit

Step-by-step explanation: multiply all of them by 2

Answer:

6.403124

Step-by-step explanation:

Hi!

We can see here that this is a composition question.

And since the composition of g of f of x is x, we can conclude that g(x) is the inverse of f(x) (if you're confused, search up the definition of an inverse function).

To find an inverse function, we can take the f(x) function and change the positions of the x and y variables.

[tex]f(x)=\frac{e^7^x+\sqrt{3}}{2}[/tex]

[tex]y=\frac{e^7^x+\sqrt{3}}{2}[/tex]

[tex]x=\frac{e^7^y+\sqrt{3}}{2}[/tex]

[tex]2x=e^7^y+\sqrt{3}[/tex]

[tex]e^7^y=2x-\sqrt{3}[/tex]

[tex]7y=ln(2x-\sqrt{3})[/tex]

[tex]y=\frac{ln(2x-\sqrt{3})}{7}[/tex]

Which is answer choice A, to check your work, you can solve the composition of g(f(x)), which will get you x.

[tex]g(f(x))[/tex]

[tex]g(\frac{e^7^x+\sqrt{3}}{2})[/tex]

[tex]\frac{ln(2(\frac{e^7^x+\sqrt{3}}{2})-\sqrt{3}}{7}[/tex]

2s cancel.

[tex]\frac{ln(e^7^x+\sqrt{3})-\sqrt{3}}{7}[/tex]

The natural log and e cancel.

[tex]\frac{7x+\sqrt{3}-\sqrt{3}}{7}[/tex]

[tex]\sqrt{3}[/tex]s cancel.

[tex]\frac{7x}{7}[/tex]

7s cancel.

[tex]x[/tex]

Hope this helps!

Answer:

-7g+13

Step-by-step explanation:

b) because combining like terms results in:

g-8g=7g

and

15-2= 13

Answer:

True

Step-by-step explanation:

It has four sides, quadrilaterals are four sided

Answer:

its ture bc it is trapezoid is a quadrilaterals

Answer:

s 7 + 46  = 49 is s  =  7 √ 3 or s  =  1.16993081 …

Step-by-step explanation:

Exact Form:

s  =  7 √ 3

Decimal Form:

s  =  1.16993081 …

Answer:

18 feet

Step-by-step explanation:

52 - 34 = 18

Answer:

18

Step-by-step explanation:

52 - 34 = 18 because she went  34 down so that will be a -34 and then she went 52 up and 52 is a positive number so it really is  negative -34 + 52 = 18

Answer:

c

Step-by-step explanation:

Answer:

i had the same question, it's "C"

Step-by-step explanation:

Answer:16(0.5x-0.75y+2)

Step-by-step explanation:

Answer:

It's C

Step-by-step explanation:

Got it correct on Edge

Answer:

(-3,-4) is the coordinate for the yellow circle

Answer:

(-3,-4)

Step-by-step explanation:

You always put the x coordinate (-3) first and then the y coordinate (-4) and use parentheses

Answer:

What do you need, volume?

Step-by-step explanation:

(2.5)×(4)×(7)=V

Answer:

1) a8

2) 6^5

3) 7^2 b^8

4) 30k^6 h^8

5) y^9/3x^2

Step-by-step explanation:

Next term is - 51

Use formula Tn=a+(n-1)d

a=the first term of the sequence which is - 15

d=the difference between the terms which is - 9

Substitute

Tn=-15+(n-1)(-9)

Tn=-15+9-9n

Tn=-9n-6

From this you will be able to generate all the terms in the pattern

If they say determine the 50th term just substitute 50 by n

Tn=-9(50)-6

Tn=-450-6

Tn=-456

Answer: 36

Step-by-step explanation:

To find out the score, you would divide the total number of points (40) by 100 and then times it by the percentage you want (90).

Hope this helps :)

Answer:

the correct answer is 4) 1692

Answer:

Step-by-step explanation:

Let the missing percentage be x%

We can also write that as x/100

According to the question,

[tex]125 \times \frac{x}{100} = 200 \\ 125x = 200 \times 100 \\ 125x = 20000 \\ x = \frac{20000}{125} \\ x = 160[/tex]

Answer:

70 Ans ...........

Step-by-step explanation:

=√4900

= 70

Answer:

√4900=√{70}²=70 is your answer

Answer:

the answer might be 150 ft

Step-by-step explanation:

adds on 30

hope that helps

please mark as brainliest if correct

thank you

19NBoli

Answer:

Step-by-step explanation:

Answer: Independnt Variable: direct light

Dependnt variable: the plant growth

Step-by-step explanation:

The plant growth depends on the light

ANSWER:

the answer is

Answer:

(-3,2)

Step-by-step explanation:

the x component should be less than or equal to 3.

the y component is greater than -2.

Go through each option and you'll see that the only option that satisfies both conditions is 3.