Solve the quadratic equation below for the exact values of x.

Solve The Quadratic Equation Below For The Exact Values Of X.

Answers

Answer 1

Answer:

x = ± 2√5

Step-by-step explanation:

4x² - 5 = 75

4x² = 75 + 5

x² = 80 ÷ 4

x² = 20

√x² = ± √20

x = ± 2√5


Related Questions

Is the relationship between volume and moles of gas proportional or inversely proportional?

Answers

The volume of the gas approximately directly proportional to its number of moles of gas when both temperature and pressure are constant.

Explain the Mole-Volume Relationship - Avogadro’s Law?The volume of a gas being directly proportional to the amount of moles of that gas, according to a plot illustrating the relationship between temperature and volume of a gas under constant pressure. Avogadro's law is cited in support of this: When the pressure (P) and temperature (T) are constant, the volume (V) of an ideal gas (n) directly varies depending on the number of moles of the gas (n).

V∝ n at constant P and T

V = constant × (n)

Vn = constant

This can be mathematically stated as follows: As before, we can anticipate what will change to the volume of the a sample of gas as we adjust the number of moles using Avogadro's law.

To know more about the Avogadro’s Law, here

https://brainly.com/question/26931664

#SPJ4

The odds in favor of an event are 8 to 3. What is the probability of the event?

Answers

The answer to your Question is 3:8

Lincoln is going to use a computer at an internet cafe. The cafe charges an initial fee to use the computer and then an additional price per minute of usage. An equation representing the total cost of using a computer for tt minutes at the internet cafe is given by C=t+5.C=t+5. What is the yy-intercept of the equation and what is its interpretation in the context of the problem?

Answers

The y-intercept of the equation of the line is 5

Slope intercept form:

The slope-intercept form of a line is given by

                          y = mx + c  

Here m is the slope of the line and c be the y-intercept

Here we have

Lincoln is going to use a computer at an internet cafe.  

The equation that represents the total cost of using the computer in t minutes is given by C = t +5  

Here the given equation resemblance the slope-intercept form

y = mx + c  

As we know in y = mx + c

The y-intercept of the line will be c

When we compare C = t + 5 with y = mx + c

=>  c = 5

Therefore,

The y-intercept of the equation of the line is 5

Learn more about the Slope intercept form at

https://brainly.com/question/9682526

#SPJ1

A flat rectangular piece of aluminum has a perimeter of 60 inches. The
length is 14 inches longer than the width. Find the width.

please add all the steps and explanation thank you.

Answers

Answer:

width = 8 inches

Step-by-step explanation:

⭐ What is the formula for the perimeter of a rectangle?

perimeter = 2(length) + 2(width)

We are given that the length is 14 inches longer than the width, and the perimeter of the rectangle is 60 inches.

So, let's substitute these values into the perimeter formula and solve for the width. Let w = width.

[tex]60 = 2(14 + w) + 2(w)[/tex]  Multiply the 2 into the parentheses

[tex]60 = 28 + 2w + 2w[/tex]       Add like terms (terms with the same variable)

[tex]60 = 28 + 4w[/tex]                Subtract 28 on both sides

[tex]32 = 4w[/tex]                        Divide both sides by 4 to isolate the variable

[tex]8 = w[/tex]

The width is 8 inches.

Two angles of a quadrilateral measure 133⁰ and 188°. The other two angles are in a ratio of
6:7. What are the measures of those two angles?

Answers

Answer:

18 and 21

Step-by-step explanation:

We take those two angles as 6x and 7x

133⁰ + 188° + 6x + 7x = 360(Sum of angles of a quadrilateral)

321+13x=360

13x=360-321

13x=39

x=39/13

x=3

6x=6x3=18

7x=7x3=21

What is the y-intercept of y = 1/2x?

Answers

Answer:0

Step-by-step explanation:y=1/2x

straight lines are of the y=mx+c

The c value is where the graph cuts the y axis or the y intercept

as there is no value there c=0

or y intercept =0

The ize of a rectangle i 25 cm by 16 cm. A quare ha the ame area a the rectangle. Find the
perimeter of the quare

Answers

The square has a 48 centimeter perimeter.

To find the perimeter of the square, we need to calculate its side length. The area of a rectangle is given by its length multiplied by its width, so we can use the given measurements of the rectangle to calculate its area: 25 cm x 16 cm = 400 cm². The area of a square is given by the square of its side length, so we can use the area of the rectangle to calculate the side length of the square: √400 cm² = 20 cm.

Thus, the perimeter of the square is equal to 4 times its side length, or 4 x 20 cm = 80 cm.

Learn more about square here

https://brainly.com/question/29192128

#SPJ4

Por favor ayuda con el gráfico y la tabla pls

Answers

lo siento, lo intenté

How do you find the standard deviation of a sample given the mean and sample size?

Answers

Using the sample mean and the provided sample size, We can find the sample standard deviation by using the formula  [tex]\sqrt \frac {\sum {(x-\bar x)^{2}}}{n-1}[/tex] .

What do you mean by sample?

Sampling is the process of choosing a portion of a statistical population to estimate attributes of the entire population in statistics, quality control, and survey methods. Statisticians try to get samples that are typical of the population under consideration.

What is mean and standard deviation?

The arithmetic mean, also known as the arithmetic average or simply the mean or average, is the sum of a set of numbers divided by the total number of numbers in the set. The collection frequently consists of a series of findings from a survey, experiment, or observational study.

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.

sample mean = [tex]\bar x[/tex]

sample size = n

sample standard deviation = [tex]\sqrt \frac {\sum {(x-\bar x)^{2}}}{n-1}[/tex]

To learn more about samples visit:

https://brainly.com/question/13287171

#SPJ4

If the length of a rectangle is increased by 30% and the width is decreased by 30%, then the area:.

Answers

The area of the given rectangle will decrease by 9 % .

What is a rectangle?

The rectangle is a geometrical figure in which opposite sides are equal.

Area of rectangle = length × width.

Perimeter of rectangle = 2( length + width ).

Area of rectangle is given by = Length ( L ) × Width ( W )

The length of a rectangle is increased by 30%

New length L' = 1.3L

width of the same rectangle is decreased by 30%

New width( W' ) = 0.70W

Now,

New area = L'W'

1.3L × 0.70W = 0.91LW = 0.91 Old area

Hence the percentage decrement

(Old area - 0.91 old area)/old area  × 100 = 9%.

Hence, The area of the given rectangle will decrease by 9 %

Learn more about the rectangle here:

https://brainly.com/question/29123947

#SPJ4

11. If the perimeter of ABCD is 600 ft. and AD=2x-10 find AB.

Answers

Answer:balls

Step-by-step explanation:

balls

Why is the square root of 4 undefined?

Answers

A negative number is not a real number which, squared, is negative.  Hence square root of -4 undefined

What is the square root?

The square root of a number is the factor that we can multiply by itself to get that number. The symbol for square root is √ ​.Finding the square root of a number is the opposite of squaring a number.

According to the given question:

A negative number is not a real number which, squared, is negative.

You can't get square a number and get a negative. If you square a negative number, it'll become positive, therefore you can't square root a negative number because it doesn't exist. Hence square root of -4 is undefined.

Learn more about Square root at:

brainly.com/question/428672

#SPJ4

-x+10x=9x+5 i need x please

Answers

Answer:No answer

Step-by-step explanation: Simplify like terms first if possible

on LS=-X+10X=9X

9X=9X+5

We need to get Xs on one side to solve equation

We aim to have the Xs on the left side

we take 9X from both sides

9X-9X=9X-9X+5

0=5

No solution

How to do algebra Grade 6?

Answers

The steps for solving an algebraic problem can be summarized as follows Identify the problem and what you need to find (the variable). Determine what information you have about the problem, including any equations or other relevant information. Develop a plan for how to approach the problem and solve the variable. Implement your plan and perform the necessary calculations to solve for the variable. Check your solution to make sure it makes sense in the context of the problem and that it satisfies the original equation or conditions.

There are several basic steps that can help you solve algebraic equations in grade 6:

Read the problem carefully and determine what you are trying to find (the variable).Identify the operation(s) that need to be performed to solve the equation.Use the order of operations to determine the sequence in which the operations should be performed.Perform the operations in the correct order, starting with any operations inside parentheses or brackets.Simplify the equation by combining like terms on either side of the equal sign.Solve the equation by performing the opposite operation on both sides of the equal sign to isolate the variable.Check your solution by substituting it back into the original equation to make sure it works.

Here's an example of how to use these steps to solve an equation:

Solve the equation 3x + 7 = 11.The variable we are trying to find is x.The operation we need to perform is to get x by itself on one side of the equal sign.There are no parentheses or brackets, so we can start by performing the operation on the right side of the equal sign.Subtract 7 from both sides of the equation: 3x = 4.Divide both sides by 3: x = 4/3.Check the solution by substituting it back into the original equation: 3(4/3) + 7 = 11, which is true.So, the solution to the equation is x = 4/3.

Learn more about algebra at

https://brainly.com/question/24875240?referrer=searchResults

#SPJ4

How long can you stay on sickness benefits?

Answers

In one (1) calendar year, a member may receive illness benefits for a maximum of 120 days. The total number of permitted compensable days for the next year cannot be increased by any unused fraction being carried forward.

Sickness benefits are paid for 91 days across two successive benefit periods and are equal to 70% of the average daily salary.

Enhanced Sickness Benefit: For male and female employees, respectively, this benefit is payable to insured people undergoing sterilization for 7 days and 14 days, and it is equal to their entire salary.

The member's daily Sickness Benefit allotment equals ninety percent (90%) of the credit for his or her average daily wage (ADSC). Up to 120 days can be received from the sickness benefit in a single (1) calendar year.

For more questions Sickness benefits:

https://brainly.com/question/15281034

#SPJ4

What is the factor of 3x² 7x 2?

Answers

The factors of the quadratic expression 3x² + 7x + 2 are 3x + 1 and x + 2.

We know for a quadratic expression of the form ax² + bx + c, the sum of the roots is -b/a and product of the root is c/a.

So in the given case

a = 3

b = 7

c = 2

Let the roots be α and β, therefore

α + β = -b/ a = -7/ 3

Also αβ = 2/3

We can find α and β by trial and error method. Else using the identity (a+b)² = a² + 2ab + b² and  (a-b)² = a² - 2ab + b², we get

(a - b)² = (a + b)² - 4ab

Therefore

(α - β)² = (α + β)² - 4αβ

(α - β)² = (-7/ 3)² - 4×2/3

(α - β)² = 25/9

Assuming α>β,

α - β = 5/3

So solving α + β = -7/ 3 and α - β = 5/3, α = -1/ 3 and β = -6/3 = -2

Therefore simplifying

3x² + 7x + 2

= 3(x + 1/3)(x + 2)

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

--The question is incomplete, answering to the question--

"What is the factor of 3x² + 7x + 2?"

To know more on factors of quadratic expression

https://brainly.com/question/13002295

#SPJ4

Write an expression that can be used to find 65% of 120.

Answers

65% of 120 is what number?
.65x120=n
78=n

Please help I will give brainliest

Answers

Answer:

I know how to do this problem, but before I do, this isn't a live test, correct?

I recognize that your photo is from an eCampus quiz. I want to make sure I don't violate the honor code when answering.

write two linear expressions that have a sum of 6x + 9

Answers

3x+6=-3x-3

and

6x+4=-5

Find the equation of the line shown below.
A. y = –0.2x + 2

B. y = –5x + 2

C. y = 0.2x + 5

D. y = 5x + 2

Answers

Answer:

A. y = –0.2x + 2

Step-by-step explanation:

It is a negative slope and intersects at (0, 2).

Answer: A. y = –0.2x + 2

Step-by-step explanation:

     We see that the answer options are in slope-intercept form, so we will find the slope and the y-intercept of this line to write our equation.

     The line intercepts the y-axis at (0, 2), so the ending of our equation will be "+ 2" for the intercept.

     Next, we will find the slope. We see that for everyone one unit moved downward, there is 5 units right. This becomes a slope of -1/5, which is the same as -0.2.

     Using these details, the correct answer is;

            A. y = –0.2x + 2

Function c is defined by the equation
c(n) = 20 + 20n. It gives the
monthly cost, in dollars, of visiting a
gym as a function of the number of
visits, n.
Find the value of c(5)
Explain your method for
solving, and
3. Explain what the value means
in this situation.


Pleas help

Answers

The value of the function c(n) = 20 + 20n at n = 5 will be 120.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that function, c is defined by the equation c(n) = 20 + 20n. It gives the monthly cost, in dollars, of visiting a gym as a function of the number of visits n.

The value of the function f(5) will be calculated as,

c(n) = 20 + 20n

c(5) = 20 + ( 20 x 5 )

c(5) = 20 + 100

c(5) = 120

To know more about an expression follow

https://brainly.com/question/14034161

#SPJ1

What percent is a 3 to 1 slope?

Answers

The percent of 3 to 1 is:

Slope Ratio: 3:1 or 3 to 1

Percent Slope: 33%

What was the slope?

There is a picture of what the slope is down below:

Therefore, The percent of 3 to 1 is:

Slope Ratio: 3:1 or 3 to 1

Percent Slope: 33%

Find the magnitude of the projection of〈-4,-4⟩ onto the vector ⟨−1,−6⟩

Answers

Answer:

[tex]\dfrac{28\sqrt{37}}{37} \approx 4.6\; \sf (nearest\;tenth)[/tex]

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{7 cm}\underline{Scalar projection}\\\\Scalar projection $=\dfrac{u \cdot v}{|u|}$\\\\where:\\ \phantom{ww}$\bullet$ $u$ is the vector being projected onto.\\\end{minipage}}[/tex]

Given:

u = 〈-1, -6⟩v = 〈-4, -4⟩

Calculate the magnitude of vector u:

[tex]\implies |u|=\sqrt{(-1)^2+(-6)^2}=\sqrt{37}[/tex]

The scalar projection is the magnitude of the vector projection.

Therefore, the magnitude of the projection of vector v onto vector u is:

[tex]\implies \dfrac{u \cdot v}{|u|}=\dfrac{\langle -1, -6\rangle \cdot \langle-4, -4\rangle}{\sqrt{37}}=\dfrac{4 +24}{\sqrt{37}}=\dfrac{28}{\sqrt{37}}=\dfrac{28\sqrt{37}}{37}[/tex]

How do you explain square root to a child?

Answers

Therefore , we can explain square roots to the child with the help of following explanation and examples.

How is the square root defined?

A number's square root, which is the result of multiplication by itself, yields the original number. Some examples of exponents are squares and square roots. Imagine the number twenty five. Additionally, this can be expressed as expression of  5x5.

Here,

The square root is the same as the square in every way. You could think of it as the square's "root" or the number that was utilized to create the square.

The square root symbol is as follows:√

For example: √9 = √3*3 = 3

√25 = √5*5=5

√4 =  √2*2 = 2

are the square roots of the following numbers .

Here we can see it is very easy to calculate the square root

To know more about square root , visit

brainly.com/question/29286039

#SPJ4

How do I determine if this equation is a linear function or a nonlinear function?

Answers

A linear equation is used to represent a straight line in a graph, whereas non-linear equations are used to represent curves.

An equation is considered linear if it is in the form of  [tex]y = mx + c[/tex] where m is the slope of the equation and b is the y-intercept.

Notice how here, x can only be to the power of one. In here, the conditions are just simply m,c ∈ R.

Some examples include [tex]y = 8x + 9, 2y = x-7, 8y=0[/tex] and even some like [tex]x=4[/tex].

As you can see here, all of the following equations are represented using a straight line.

An equation is considered “non-linear” when it is not graphed using straight lines. Some examples include [tex]y = 3x^{2} +8, 4y =2x^{4}-6, y = x^{5} +86[/tex].

In conclusion, a linear equation will always be in the form of , where m is the slope of the equation, and b is the y-intercept of the equation.

Note: To determine if an equation is a linear function, it must have the form  (in which m is the slope and b is the y-intercept). A nonlinear function will not match this form.

In a linear equation, the variables appear in first degree only and terms containing products of variables are absent. But in the case of nonlinear equations, at least one variable is not of the first degree or the equation contains a product of variables.

An equation is linear if its graph forms a straight line. This will happen when the highest power of x is . Graphically, if the equation gives you a straight line then it is a linear equation. Else if it gives you a circle, or parabola, or any other conic for that matter it is a quadratic or nonlinear equation.

If the highest power of x in the equation is one then it is a linear equation else if the power of x is greater than one then it is nonlinear.

To know more about determining the equations check:

https://brainly.com/question/29913752

#SPJ4

We can determine if this equation is a linear function or a nonlinear function by looking at their graph.

What are linear functions and non-linear functions?

Simplify the equation as closely as possible to the form of y = ax + b.

On a Cartesian Plane, a linear function is a function where the graph is a straight line. The line can go in any direction, but it's always a straight line. The linear functions don't have any exponents higher than 1. Some of them don't have variables at all, and if they do, they have just plain x, which is equal to x to the first power. When a linear function is written in its simplest form, it looks like[tex]y = a + bx[/tex], where [tex]a[/tex] and [tex]b[/tex] are both constants. For example, here are some linear functions:

y = 3 + 5x

y = 2 - 6x

y = 4x

On a cartesian plane, a non-linear function is a function where the graph is never a straight line it is always curved may be a parabola, hyperbola or something else. Non-linear functions all have atleast one variable raised to the power of two or more. There's no one formula for non-linear functions because they're all different. For example, here are some non-linear functions:

y = 3x^3 + x^2 - 7

y = 5x^5 - 3x^2 +2

We can determine if this equation is a linear function or a nonlinear function by looking at their graph.

To know more about linear and non-linear functions, check out:

https://brainly.com/question/1418397

#SPJ4

What is the difference in value between the three's in the numeral below? 632 387 ​

Answers

Answer:

One is 30,000 and the other is 300

Express the given product as a sum containing only sines or cosines.
sin (50) cos (20)

The zeros are thetas btw



Pls help I don't have much time

Answers

Answer:

s (50) c (20) s (50) c (20) = 0

Step-by-step explanation:

Hope this helps

How do you write 4x 5y 20 in slope intercept form?

Answers

4x+5y=20 in slope intercept form would be y= (-4/5)x + 4.

What do you mean by slope?

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

4x + 5y = -20

-4x            -4x

5y = -4x - 20

divide it all by 5

y = -4/5x - 4

Slope intercept form is y=mx+b. So you would first subtract 4x from both sides. This ends up being 5y= -4x +20. Then divide both sides by 5. This gets you y= (-4/5)x +4.

learn more about of slope here

https://brainly.com/question/3760

#SPJ4

HELP ME PLEASE,IM DOING A FINAL.

Answers

Relation between base and height of parallelograms is a function  [tex]f(x)=\frac{48}{x}[/tex].

What is a function?

Relations called functions provide an output for each input. The characteristic that every input is associated to exactly one output defines a function as a relation between a set of inputs and a set of allowable outputs. A mapping from A to B will only be a function if every element in set A has one end and only one image in set B. Let A & B be any two non-empty sets.

Calculation:

Based on the values listed in the table for the parallelograms' base length and height, you can see that the base length grows by one unit, giving you the numbers 1, 2, 3, and 4. When base length increases by one unit, height reduces by 1/x, as shown in the following example:

Height and base length have the following relation:

[tex]f(x)=\frac{48}{x}[/tex]

where x is the base length and f(x) is the height. 

[tex]f(1)=\frac{48}{1}= 48\\f(2)=\frac{48}{2}=24\\f(3)=\frac{48}{3}=16\\f(4)=\frac{48}{4}=12\\f(6)=\frac{48}{6}==6[/tex]

Relation between base and height of parallelograms is a function  [tex]f(x)=\frac{48}{x}[/tex].

To refer more about Functions, visit:

brainly.com/question/25638609

#SPJ1

How do you simplify complex fraction expressions?

Answers

To simplify a complex fraction expression, first identify the numerator and denominator of each fraction.

What is complex fraction?

A complex fraction is a fraction that contains one or more fractions in the numerator, denominator, or both. This type of fraction requires additional steps to simplify and can often be reduced to a simpler fraction or a whole number. Complex fractions are also known as compound fractions or nested fractions.

Then, factor each fraction into its simplest form by dividing each numerator and denominator by their greatest common factor. Finally, combine the fractions by multiplying the numerators and denominators. This will result in a simplified expression.

To know more about complex fraction click-
https://brainly.com/question/29328339
#SPJ4

Other Questions
State all integer values of x in the interval 1 x 8 that satisfy the followinginequality:5x 8 > 6 PART A: what is emerson's overall purpose in his essay? the various levels of volume, loud and soft, at which sounds are produced in a musical composition How do you solve for y in a triangle? How do you show respect in Vietnamese culture? during the 12 months prior to the term for which you are applying, did you attend a public college or university in texas in a fall or spring term? count for dual credit? a 30-year maturity mortgage-backed bond is issued. the bond has a par value of $1,000 and promises to pay a 9 percent coupon, on a semi-annual basis. at the issue date, bond market investors require a 8.1 percent interest rate (yield to maturity) on the bond. what is the initial price on the bond (rounded to $1)? ch19 a. $1,101 b. $941 c. $1,029 d. $1,000,000 e. $1,043 a. Dominatingb. Obligingc. Compromisingd. Integratinge. AvoidingMatch each of the options above to the items below.Milton always finds something petty to be upset about. Today Milton is complaining to you that he did not get a shiny new red Swingline stapler like his office mate did1. Lauryl works hourly shifts at a restaurant and she isnt happy about her schedule for the upcoming week. You are Lauryls coworker and offer to switch schedules with her this week. You dont have much going on outside of work this week, and one day in the future you may need a favor from her.2. Your company withdrew the funding you planned to use to put your employees up at a really fancy hotel on this weeks work trip. Instead, youll have to stay at a cheap motel and double up in rooms. You announce the disappointing news and quickly move on to other business. Theres no point in fielding questions or complaints since the money just isnt there.3. Stanley and Phyllis are both top salespeople at their company. Both believe that the biggest, most important potential clients should be given to them. They decide that a good system is to alternate evenlyone important potential client goes to one of them, then the next goes to the other, etc.4. Your department has just been given a $4,000 end-of-year bonus. Everyone has an opinion on how it should be spent, including fancy new desk chairs, a big party, a new copy machine, and new laptops. You take a few days to evaluate the offices needs using historical data and discussing options with each employee individually before finally arriving at a decision that you believe everyone will see as the best decision for all in the group. SW Edu - CSWA Academic Part 1 of 2 Question 2 of 6 For 15 points 810802: Basic Part - Step 2 - (Tool Block) Modify the part in SOLIDWORKS Unit system: MMGS (millimeter, gram, second) Decimal places: 2 Part origini Arbitrary All holes through all unless shown otherwise Material Aluminium 1060 Alloy Density = 0.0027 g/mm3 Modify the part using the following variable values A = 142.00 B 52.00 C55 degrees Notes Assume all unshown dimensions are the same as in the previous question. What is the overall mass of the part (grams)? Enter Valueight (use (point) as decimal separator) A 30.50 - B 35 10 17.50 17 1 35.50 R5.50 lo 96 30.50 -R5.50 17.50 35.50 7 17 2 10 E - 30.50 35 B A 627.83 1673.08 Show Summary Next Question E 30 15 +2 5.50 -5.50 5.50 - -5.50 2 627.83 -5.50 11.50 6.50 5.50 2 wer B10101 - FF 627.83 1673.00 Show Summary Next Question R2.50 TYP F-E 627.83 If you were putting together a team or committee to develop an operational plan at your business, who would be on that team?Why would you choose those people?What skills and knowledge does each person bring to the team? which of the following is not a possible complication that prevents a firm from ordering at the economic order quantity level? A. A supplier offers a quantity discount.B. A supplier places order quantity restrictions.C. A supplier charges a fixed cost to place an order.D. An area offers limited space to hold the inventory received from a supplier. Marissa is a good tennis player whose performance seems to improve as the crowd watching her gets larger. The best explanation for this phenomenon isa.the bystander effect b.social facilitation c.the self-serving bias d.misattribution e.a social schema study smarter a charged capacitor and an inductor are connected in series at time t 0. in terms of the period t of the resulting oscillations, determine how much later the following reach their maximum value: (a) the charge on the capacitor; (b) the voltage across the capacitor, with its original polarity; (c) the energy stored in the electric field; and (d) the current. an opinion prepared by a judge who supports the court's decision but wishes to in some way clarify, emphasize, or offer a different rationale is known as which of the following? designed by nature What is the intended purpose of the passage? 8.A leader who gains power by force is called aClergyTyrantJuryRepublic What are the positive and negative impact of westernization? 2. How is life different from what it was five years ago? How have these changes affected you? Write your views in about 150 words. what became russias center What does this excerpt tell you about the impact of unsuccessful Independence movements?