Write and solve an equation to
find how much greater this year's 3-month snowfall was
than last year's

Write And Solve An Equation Tofind How Much Greater This Year's 3-month Snowfall Wasthan Last Year's

Answers

Answer 1

In the graph, which compares the snowfall for the same three months last year and this year, you can see that the total snowfall for last year was 36.4 inches. how much more snow fell over the course of three months this year than did so last year: 5.45

what is the explanation?

The first step is to calculate the amount of snowfall from the previous year, which are:

12.6+6+9.2

=27.8

The next stage is to calculate how much snow has fallen this year, which includes:

10+15.75+7.5

=33.25

Now let's compare the snowfall over the first three months of current year to that of last year.

33.25-27.8

=5.45

In conclusion Graph showing snowfall during the same three months last year and this year, if the total snowfall for last year was 36.4

to learn more about calculate the amount of snowfall refer to:

https://brainly.com/question/5220354

#SPJ13


Related Questions

​the long division method to find the result when 12x^{3}+5x^{2}-27x+1312x
3
+5x
2
−27x+13 is divided by 3x-13x−1. If there is a remainder, express the result in the form q(x)+\frac{r(x)}{b(x)}q(x)+
b(x)
r(x)

(hope it makes sense)

Answers

The solution of the polynomial division 12x³ + 5x² - 27x + 13 is divided by 3x - 1 is; 4x² + 3x - 8 + (5/(3x - 1))

How to carry out Polynomial Long Division?

We want to use long division method to solve the polynomial division when 12x³ + 5x² - 27x + 13 is divided by 3x - 1.

             4x² + 3x - 8

          -------------------------

3x - 1  | 12x³ + 5x² - 27x + 13

         -  12x³ - 4x²        

          -----------------------------

                     9x² - 27x  

                 -   9x² - 3x

          -----------------------------

                            -24x + 13

                        -    -2x + 8

          -----------------------------

                                      5

          -----------------------------

Expressing the solution of the polynomial division in the given quotient and remainder form gives us;   4x² + 3x - 8 + (5/(3x - 1))

Read more about Polynomial Long division at; https://brainly.com/question/25289437

#SPJ1

X - 11 = -44 solve one step equation.

Answers

Answer: x = -33

Explanation:

Given the following question:

x - 11 = -44

Step 1: collect the like terms

x = -44 + 11

x = -33

Therefore, x = -33

need asap pleaseeeeeeee

Answers

28
28 • 28 • 28 = 21,952
it’s 28 to the third power (aka “f^3”)

Answer:

c) f = 28

Step-by-step explanation:

Given problem,

→ f³ = 21952

Now the value of f will be,

→ f³ = 21952

→ f = ³√21952

→ [ f = 28 ]

Let's check the following,

→ 28³

→ (28 × 28) × 28

→ 784 × 28 = 21952

Hence, option (c) is correct.

Thu has the same amount of money automatically deposited into a new savings account each week. After 2 weeks, she has $14. After 5 weeks, she has $35. The unit rate is measured in dollars per week. What is the constant of proportionality?

Answers

For the given data of saving account, unit rate is measured in dollars per week then constant of proportionality is equal to $7.

As given in the question,

For the saving account,

Amount deposited is directly proportional to the number of weeks

Let y be the amount deposited and x be the number of weeks

y ∝ x

y = kx

'k' is the constant of proportionality

As per data unit rate is measured in dollars per week

For y = $14 then x = 2 weeks

14 = 2k

⇒ k = $7

For y = $35 then x = 5weeks

35 =5k

⇒ k = $7

Therefore, for the given data of saving account, unit rate is measured in dollars per week then constant of proportionality is equal to $7.

Learn more about constant of proportionality here

brainly.com/question/22620356

#SPJ1

Simplify the expression,

Assume all variables are positive.

Answers

Answer:

x²[tex]\sqrt{5}[/tex]

Step-by-step explanation:

using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

given

5[tex]\sqrt{20x^4}[/tex] - 3[tex]\sqrt{45x^4}[/tex]

simplify the 20 and 45 inside the radicals

[tex]\sqrt{20}[/tex] = [tex]\sqrt{4(5)}[/tex] = [tex]\sqrt{4}[/tex] × [tex]\sqrt{5}[/tex] = 2[tex]\sqrt{5}[/tex]

[tex]\sqrt{45}[/tex] = [tex]\sqrt{9(5)}[/tex] = [tex]\sqrt{9}[/tex] × [tex]\sqrt{5}[/tex] = 3[tex]\sqrt{5}[/tex]

Then

= 5(2[tex]\sqrt{5}[/tex] x² ) - 3(3[tex]\sqrt{5}[/tex] x² )

= 10[tex]\sqrt{5}[/tex] x² - 9[tex]\sqrt{5}[/tex] x²

= x²[tex]\sqrt{5}[/tex]

Select the pair that could be a reasonable approximation for the diameter and
circumference of a circle.
5 meters and 22 meters
19 inches and 60 inches
33 centimeters and 80 centimeters
Explain your reasoning.
Your answer

Answers

We know that pair (B) (19 inches and 60 inches) can be a fair estimation of a circle's diameter and circumference.

What is a circle?All points in a plane that are at a specific distance from a specific point, the center, form a circle. In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant. Simply put, a circle is a rounded shape without any edges or line segments. It has the geometric shape of a closed curve.

So, let 'D' be the diameter and 'C' be the circumference.

Calculate C as:

C = πD (π = 3.14)

(A) D = 5 m and C = 22 m

C = πD C = 3.14 × 5C = 15.7 m

So, C = 15.7 m does not approximate 22 m.

(B) D = 19 in and C = 60 in

C = πD C = 3.14 × 19C = 59.66 in

So, C = 59.66 approximates 60 in.

(C) D = 33 cm and D = 80 cm

C = πD C = 3.14 × 33C = 103.62cm

So, C = 103.62cm does not approximate 80cm.

Therefore, we know that pair (B) (19 inches and 60 inches) can be a fair estimation of a circle's diameter and circumference.

Know more about circle here:

https://brainly.com/question/24375372

#SPJ13

The correct question is given below:
Select all the pairs that could be reasonable approximations for the diameter and circumference of a circle. * 1 point A. 5 meters and 22 meters. B. 19 inches and 60 inches. C. 33 centimeters and 80 centimeters.

Solve the equation for x. −0.24x − 16.4 = 1.48 x = −62.2 x = 62.2 x = −74.5 x = 74.5
hurry pls​

Answers

The solution of the given linear equation is x = -9.53

How to solve the equation for x?

Here we have the linear equation:

-0.24*x - 16.4 = 1.48*x

To solve this, first we need to move all the terms with x to the left and the terms without x to the right.

-0.24*x - 1.48*x = 16.4

(-0.24 - 1.48)*x = 16.4

-1.72*x = 16.4

Now we can divide both sides by -1.72 to get:

x = 16.4/-1.72 = -9.53

Learn more about linear equations:

https://brainly.com/question/1884491

#SPJ1

Answer: c) (is it c?)

Step-by-step explanation: c) x= - 74.5

0.24x+16.4=-1.48 step 1- subtract: -1.48- 16.4

0.24x= -17.88    (divide)

x= −74.5

there

i hope this helps!!

Which of the following shows the values of −0.5, −2.8, 1.9, 0.9, and −1.7 plotted on a number line?

A number line starting at negative 3.3 with tick marks every one tenth unit up to 2.1. The values for negative 2.9, negative 2, negative 0.6, 0.9, and 1.7 are plotted.
A number line starting at negative 3.3 with tick marks every one tenth unit up to 2.1. The values for negative 2.8, negative 1.7, negative 0.5, 0.9, and 1.9 are plotted.
A number line starting at negative 3.3 with tick marks every one tenth unit up to 2.1. The values for negative 3, negative 1.9, negative 0.7, 0.8, and 1.9 are plotted.
A number line starting at negative 3.3 with tick marks every one tenth unit up to 2.1. The values for negative 2.9, negative 2, negative 0.6, 0.9, and 1.9 are plotted.

Answers

The statement that shows the values of -0.5,-2.8,1.9,0.9 and -1.7 plotted on a number line is " A number line starting at negative 3.3 with tick marks every one tenth unit up to 2.1. The values for negative 2.8, negative 1.7,negative 0.5,0.9 and 1.9 are plotted."

Here the values are

-0.5,-2.8,1.9,0.9 and -1.7

The number line a graphical representation that a line on which numbers are marked at intervals, used to represents the simple numerical operations.
Here there are three negative numbers -0.5,-2.8 and -1.7

The positive numbers are 1.9 and 0.9

The statement "A number line starting at negative 3.3 with tick marks every one tenth unit up to 2.1. The values for negative 2.8, negative 1.7, negative 0.5,0.9 and 1.9 are plotted" is suited of all the given conditions

Hence, The statement that shows the values of -0.5,-2.8,1.9,0.9 and -1.7 plotted on a number line is " A number line starting at negative 3.3 with tick marks every one tenth unit up to 2.1. The values for negative 2.8, negative 1.7, negative 0.5, 0.9, and 1.9 are plotted."

Learn more about number line here

brainly.com/question/13189025

#SPJ1

If what is the length of DF? ​

Answers

Answer:

DF = 13

Step-by-step explanation:

Congruent triangles:

        In ΔABC & ΔDEF,

                     ∠A = ∠D

                     ∠C = ∠F

                      CB = FE

            ΔABC ≅ ΔDEF   {Angle Angle Side congruency}

              DF = AC = 13

That is easy it’s just 13

help meeeeeeeeeeee pleaseeeeeeeeeeeeee!!

Answers

Answer:

Yes, is a function

Step-by-step explanation:

it does not repeat x's

The graph of f(x) is shown.
For what values of x does f(x) = 0?
A) −1, 1, 2
B) −2, −1, 1
C) −3, −1, 1
D) −1, 1, 3

Answers

Answer:

C

Step-by-step explanation:

f(x) =0

when the curve intersects the x axis

goodluck :)

Question 4(Multiple Choice Worth 1 points)
(03.01 MC)

Simplify square root of three times square root of twenty one.

square root of twenty four
square root of sixty three
three square root of seven
nine square root of seven

Answers

The Simplification of square root of three times square root of twenty one is; C: three square root of seven

How to use law of Exponents?

The Laws of Exponents are;

When multiplying like bases, ensure that the base is kept the same while we add the exponents. When raising a base with a particular power to another specific power, ensure that the base is kept the same and multiply the exponents. When dividing like bases, ensure that the base is kept the same and subtract the denominator exponent from the numerator exponent.

We have the expression;

√3 * √21

= √3 * √3 * √7

= (√3 * √3) * √7

= 3√7

Read more about Laws of Exponents at; https://brainly.com/question/11761858

#SPJ1

Use the remainder theorem to find P (3) for P(x) = -x^4+3x^3-2x+3.
Specifically, give the quotient and the remainder for the associated division and the value of P (3).

Answers

The most appropriate choice for remainder theorem will be given by-

Quotient = [tex]-x^3-2[/tex]

Remainder = -3

What is remainder theorem?

When f(x) is divided by (x-a), the remainder will be f(a).

If the remainder is zero, (x-a) will become a factor of f(x)

Expression to be divided is called dividend, expression by which dividend is divided is called divisor, expression obtained on division is called Quotient and the other part is the remainder.

There is also a well known formula

Divisor x Quotient + Remainder = Dividend

Here,

P(x) = [tex]-x^4 +3x^3 -2x+3[/tex]

P(3) =  [tex]-(3)^4+3(3)^3-2(3)+3[/tex]

      = [tex]\\-81+81-6+3[/tex]

      = -3

So by Remainder theorem, remainder is P(3)

So, Remainder = -3

Let the quotient be q(x)

divisor = [tex]x - 3[/tex]

We know,

Divisor x Quotient + Remainder = Dividend

[tex](x-3) \times q(x) +(-3) = -x^4 +3x^3 -2x+3\\(x-3) \times q(x) = -x^4 +3x^3 -2x+3 +3\\(x-3) \times q(x) = -x^4 +3x^3 -2x+6\\q(x) = \frac{-x^4 +3x^3 -2x+6}{x -3}\\q(x) =\frac{ -x^3(x-3)-2(x-3)}{x-3}\\q(x) = \frac{(x-3)(-x^3-2)}{x-3}\\q(x) = -x^3-2[/tex]

So, Quotient = [tex]-x^3-2[/tex]

Remainder = -3

To learn more about remainder theorem, refer to the link:

https://brainly.com/question/13328536

#SPJ9

Determine the rule for translating ABC to A'B'C'

Answers

Correct answer is A, the rule for translating ABC to A'B'C' is left 2, up 9.

What does translating a triangle mean?

An example of a transformation is a translation, which moves every point in a figure uniformly and in one direction. are frequently called slides. You can use notation or words to express a translation, such as "moved up 3 and over 5 to the left."

A translation in geometry is a type of transformation that shifts a geometric figure in a certain direction without altering its size or orientation. The figures are congruent before and after the transformation since it is a type of stiff transformation.

To learn more about translation of triangles from given link

https://brainly.com/question/12861087

#SPJ10

A local builder estimated that each year 57 homes are built in the surrounding area. In 2002 there was 43,800 homes. Find the number of homes in 2011.

Answers

Answer:

The number of homes in 2011 is 44,313

Explanation:

Given that 57 homes are built each year, in 2002, there were 43,800 homes, then the next years have the number of homes as follows:

2003: 43,800 + 57

2004: 43,800 + 57 + 57

2005: 43,800 + 57 + 57 + 57

This goes on until 43,800 + 57n

where n is the number of years after 2002.

2011 is 9 years after 2002, so the number of homes will be:

43,800 + 57(9)

= 43,800 + 513

= 44,313

Find the value of x.
(5x − 17)°

13
132
12
48

Answers

Answer:

its 12

Step-by-step explanation:

Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x), and express P in the form P(x) = D(x) Q(x) + R(x).
P(x) = 3x³-4x²-3x, D(x) = 3x - 4
P(x) =

Answers

The value of  Q(x) =   x² - 1  

R(x) = 4

What is Long Division?

Long division is a common division procedure in mathematics that may be easily performed manually and is appropriate for dividing multi-digit Hindu-Arabic numbers. It simplifies a division problem into several shorter stages.

By long Division method:

                        x² - 1            

                     _______________________________

         (3x - 4) | 3x³ - 4x² - 3x

                       3x³ - 4x²

                       _________________

                            0 - 0   - 3x      

                                       - 3x + 4  

                                ___________________

                                          0  + 4

                                                   

Q(x) =   x² - 1  

R(x) = 4

Hence, (3x³-4x²-3x) = (3x - 4)(x² - 1  ) + 4

To learn more about Long Division method click on the link

https://brainly.com/question/25289437

#SPJ13

What are the The values of X and why that satisfy this equation (x+yi)+(4+9i)=9-4i

Answers

The values of x and y that satisfy the equation (x+yi)+(4+9i)=9-4i is x = 5 and y = -13  .

In the question ,

the equation is given as

(x+yi)+(4+9i)=9-4i

to find the value of x and y , we solve LHS and RHS of the equation separately

So LHS =

(x+yi)+(4+9i)

x+yi+4+9i

Adding the real and imaginary terms , we get

(x+4)+(y+9)i which is equal to RHS that is 9-4i

So , on comparing , we get

x+4 = 9    and      y+9 = -4

x= 9-4      and      y = -4-9

x = 5       and       y = -13

Therefore , the values of x and y that satisfy the equation (x+yi)+(4+9i)=9-4i is x = 5 and y = -13 .

The given question is incomplete , the complete question is

What are the The values of X and Y that satisfy this equation (x+yi)+(4+9i)=9-4i  ?

Learn more about Complex Numbers here

https://brainly.com/question/8904091

#SPJ1

The midpoint of GH is M(3, 6). One endpoint is H(6, 5). Find the coordinates of the other endpoint G.

Answers

The coordinates of the endpoint G is (0, 7).

The midpoint of the coordinate is the centre point which can be calculated by finding the average. So, the relation representing the endpoints and midpoint is as follows -

Midpoint (x, y) = ([tex] x_{1}[/tex] + [tex] x_{2}[/tex]/2), ([tex] y_{1}[/tex] + [tex] y_{2}[/tex]/2)

Keep the value in mentioned formula to find the endpoint G, represented as [tex] x_{1}[/tex] and [tex] y_{1}[/tex].

(3, 6) = ([tex] x_{1}[/tex] + 6/2) ([tex] y_{1}[/tex] + 5/2)

Relating the x and y values -

x value :

3 = [tex] x_{1}[/tex] + 6/2

[tex] x_{1}[/tex] + 6 = 3×2

[tex] x_{1}[/tex] + 6 = 6

[tex] x_{1}[/tex] = 6 - 6

[tex] x_{1}[/tex] = 0

y value :

6 = [tex] y_{1}[/tex] + 5/2

[tex] y_{1}[/tex] + 5 = 6×2

[tex] y_{1}[/tex] + 5 = 12

[tex] y_{1}[/tex] = 12 - 5

[tex] y_{1}[/tex] = 7

Thus, the coordinates of point G from the line GH is (0, 7).

Learn more about midpoint coordinate -

https://brainly.com/question/5566419

#SPJ9

Evaluate g(18), when g(x)=−8x+14

Answers

Answer:

-130

Step-by-step explanation:

g(18)= -8(18)+14

=-144+14

=-130

Translate this phrase into an algebraic expression. Seven more than the product of 17 and Julie's savings Use the variable j to represent Julie's savings.

Answers

17j+7 is the algebraic expression for Seven more than the product of 17 and Julie's savings.

What is Expression?

Expression is a combination of variables, operators and numbers.

The given phrase is

"Seven more than the product of 17 and Julie's savings"

and j is variable to represent Julie's savings.

In the phrase we have Seven more than, it means we are adding 7 to something.

According to problem we are adding 7 to "product of 17 and Julie's savings"

Product means multiplying a number with another factor. Here the factor is julies saving j.

17j+7 is the translated algebraic expression.

Hence 17j+7 is the translation of  Seven more than the product of 17 and Julie's savings.

To learn more on expressions click:

https://brainly.com/question/14083225

#SPJ1

A scale drawing of a field is shown below.8 in.10 in.6 in.The drawing uses a scale of 1 in. = 14 ft. What is the area of the actual field?

Answers

We can multiply each side by 14ft yo find the value on feet and late calculate the area

[tex]\begin{gathered} 8\times14=112ft \\ 10\times14=140ft \\ 6\times14=84ft \end{gathered}[/tex]

tha area formula is

[tex]A=\frac{b\times h}{2}[/tex]

where b=84ft and h=112ft

[tex]\begin{gathered} A=\frac{84\times112}{2} \\ A=4704 \end{gathered}[/tex]

the area is 4,704ft2

I need help with this

Answers

Answer:

113.85

Step-by-step explanation:

230*55% because 100%-45%=55% is 126.5

Then 126.5*90% because 100%-10%=90% which is 113.85

Amy got a prepaid debit card with $20 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 19 cents per yard. If after that purchase there was $16.77 left on the card, how many yards of ribbon did Amy buy? pls answer this!

Answers

Answer:

price for one ribbon =19 cents

she got $20

20- 16.77 the rest from the money = 3.23

so she spends 3.23 from buying the ribbon

how much ribbon does she buy

3.23 ÷ 0.19= 17 ribbons

Fill in the blanks to express the quantities given in ratio language. Ratios must be
expressed in simplest form.
Number of Animals in the Pet Store:

Animal Count
16 cats
8 dogs


For every __ cats in the pet store, there are __dogs.

Answers

for every 2 cats in the pet store, there are 1 dogs

Determine the range of the following graph:

Answers

Answer:

The range is the allowed values of y.

Set notation: { y | -9 [tex]\leq[/tex] y [tex]\leq[/tex] 0, y ∈ R}

Interval notation: [-9,0]

Hope that helps

A pedestrian is walking at a speed of 3 km/hr. Express the distance in kilometers, d, as a function of time in hours, t.
The question format : d(t) =

Answers

Answer:   d(t) = 3t

This is because

distance = rate*time

Rate is another term for speed.

Water is drained at constant rate of 2 gallons per minute from a fish tank containing 28 gallons of water which equation represent the number of gallons of water remaining in the tank y based on the number of minutes t since water started draining from the fish tank where 0<_t_<14?

Answers

The equation represent the number of gallons of water remaining in the tank is y = 28 - 2t

What is an equation?

A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

The water remaining is illustrated as y.

The time taken is t.

The appropriate equation will be:

y = 28 - (2 × t)

y = 28 - 2t

This illustrates the water remaining in the tank.

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

Write an equation is point slope form of a line given that the slope is 2/3 and that the line goes through the point (5,-2)

Answers

Answer:

[tex](y+2)=\frac{2}{3} (x-5)[/tex]

Step-by-step explanation:

Point slope form is shown below:

[tex](y-y_1)=m(x-x_1)[/tex]

We are given the slope m = 2/3 and the point x1 = 5, y1 = -2

Simply plug in these numbers into the above equation.

[tex](y--2)=\frac{2}{3} (x-5)[/tex]

Simplify:

[tex](y+2)=\frac{2}{3} (x-5)[/tex]

C = dn or C = 2rn

(What is the radius of a circle with a circumference of 25cm?)

Answers

Hello!

Let's take this problem step by-step:

What is the formula for the circumference of a circle:

 [tex]\text{Circumference} = 2\pi *\text{radius}[/tex]

Since the circumference is 25 cm

  [tex]25 = 2\pi *\text{radius}\\\\\text{radius} = \dfrac{25}{2\pi }[/tex]

Answer: [tex]\text{radius} = \dfrac{25}{2\pi }[/tex]

Hope that helps!

#LearnwithBrainly

Other Questions
Refer to Explorations in Literature for a complete version of this story.Read these sentences about a trip to the market from Araby, in which Joyce employs to religious imagery when describing the boy's feelings for his Mangan's sister.These noises converged in a single sensation of life for me: I imagined that I bore my chalice safely through a throng of foes. Her name sprang to my lips at moments in strange prayers and praises which I myself did not understand.How does this description affect the meaning of this passage?[!!PLEASE, USE ONLY THESE ANSWER CHOICES AND SHOW EVIDENCE!!]Answer Choices:A. It describes how a boy's trip to the market with his aunt becomes a religious quest.B. It depicts how a boy's wild imagination causes him to get carried away.C. It shows how the boy aligns his feelings of romantic love with a sense of deep religious devotion.D. It expresses how the boy's confusion about his Catholic faith affects his behavior and daily life. what is the minimum number of workers that can produce at an hourly rate of 72 units?assume the tasks can allocated to workers ASAP I NEED HELP WITH THIS PROBLEM AND WILL GET THE BRAINLIEST FOR THE CORRECT ANSWER While on the moon, Buzz Aldrin carried on his back a support system that wouldweigh over 1,775 N on Earth. What did the backpack weigh on the moon? (gravityon the moon is 1.62 m/s^2) Evaluate whether the thirty years war was fought primarily for religious or primarily for political reasons. which best describes why you might want to rewrite a literal equation?To solve for a different indicated variable.To solve for the variable x.To solve for a different number.To solve for the variable y. A race car drivertravels 34 ft in the first second of a race.If the driver travels 3.5 additional feet eachsubsequent second, how many feet did thedriver travel in 52 s? Jessica has a barrel to fill with water. The barrel is 24 inches high with a radius of 12 inches. She is using a cup to fill the the barrel. The cup has a height of 6 inches and diameter of 4 inches. How many full cups will she need in order to fill the barrel? What two vices (Destruction of virtue) did Gawain say that he committed as part of his adventure? In what way did he commit these vices? Suppose you put $350 into a bank account today. Interest is paid annually and the annual interest rate is 6 percent. The future value of the $350 after 4 years is. the little albert experiment is one of the most controversial experiments in psychology. what is it? what do you think about it? is there another way that watson could have studied classical conditioning? in this experiment, what are the us, ur, cs, and cr? Hello, I need help with this practice problem, thank you! Choose if each statement is True or False.{(2, 2), (3, 2), (4, 2), (6, 2)} is a function: {(-1, 5), (0, 8), (3, 12), (6, 21)} is a function: a plane accelerates from 4 m/s/s for 28.7 s until it finally lifts on the ground. Assuming the plane started from the rest, what was the planes displacement before takeoff? what is the diameter of a circle if the circumference is 18 cm HELP NOW PLS !!! 100 POINTSThe points (5,8) and (10,2) fall on a particular line. What is its equation in point-slope form?Use one of the specified points in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions. What is the value of x? electron pairs repel, molecules adjust their shapes so that valence electron pairs are as far apart as possibleA) Valence-shell electron-pair repulsion theory(VSEPR)B) Electrical ConductivityC) Lewis Dot StructuresD) Roman numerals 1. Which of the following was one of the keys to America's late 19th century industrial success?A. Shipping by seaB. Westward expansionC. The telegraphD. Railroads2. Which of the following natural resources helped support the production of the steel used for the America's railroads, machines, and cities?A. Iron oreB. GoldC. CoalD. Oil3. What was perfected by Henry Ford to help produce the Model T quickly and relatively cheaply?A. The assembly lineB. The combustion engineC. The electric engineD. The incandescent lightbulb4. Who is credited with the invention of the incandescent light bulb?A. Henry FordB. Alexander Graham BellC. Nikola TeslaD. Thomas Edison What is the GCF of 12 and 24