A rectangle has vertices A(6, 4), B(2, 4), C(6, -2), D(2, -2).
What are the coordinates of the vertices of the image after a dilation with the origin as its center and a scale factor of 2?

Answers

Answer 1

The vertices of the image after a dilation with the origin as its center and a scale factor of 2 are having coordinates A' = (12, 8), B' = (4, 8), C' = (12, -4) and D' = (4, -4)

To dilate a figure with the origin as the center, we only need to multiply each coordinate by the scale factor. In this case, the scale factor is 2.

So, for vertex A(6, 4), we have:

x-coordinate after dilation: 2 × 6 = 12

y-coordinate after dilation: 2 × 4 = 8

Similarly, for vertex B(2, 4), we have:

x-coordinate after dilation: 2 × 2 = 4

y-coordinate after dilation: 2 × 4 = 8

For vertex C(6, -2), we have:

x-coordinate after dilation: 2 × 6 = 12

y-coordinate after dilation: 2 × (-2) = -4

Finally, for vertex D(2, -2), we have:

x-coordinate after dilation: 2 × 2 = 4

y-coordinate after dilation: 2 × (-2) = -4

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Related Questions

Find the area under the curve y = 2x4x from 0 to 1. guys pls help me thank you

Answers

To find the area under the curve y = 2x^4x from 0 to 1, we need to integrate the function with respect to x between the limits of integration 0 and 1.

∫[0,1] 2x^4x dx = [x^(2x+1)]/ln(2) |[0,1]

= (1^(2(1)+1))/ln(2) - (0^(2(0)+1))/ln(2)

= 1/ln(2) - 0

= 1.4427

Therefore, the area under the curve y = 2x^4x from 0 to 1 is approximately 1.4427 square units.

this is my question ​

Answers

The quotient evaluated in 7 is equal to the quotient of the two functions evaluated in 7, thus:

(f/g)(7) = f(7)/g(7) = 3

How to find the value of (f/g)(7)?

Here we know the functions:

f(x) = 2x + 1

g(x) = x - 2

The quotient evaluated in 7 is equal to the quotient between the two functions evaluated in x = 7, then here we will get:

f(7) = 2*7 + 1 = 14 + 1 = 15

g(7) = 7 - 2 = 5

Then the quotient gives:

(f/g)(7) = f(7)/g(7) = 15/5 = 3

That is the value.

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3.4,2/3,2.7, 7,3/4,1 in a number line

Answers

Answer:

       0      1      2      3      4      5      6      7

       |      |      |      |      |      |      |      |

     2/3   1     2.7    3.4         7      |

                         |_____________|

                               |

                             3 3/4

Pls I need help asap



Answers

13

5^2+12^=169

square root of 169=13

if the triangle wasnt a right angled triangle it would equal to 13 and would give u something else

Find the Area of the figure below, composed of a rectangle and a semicircle. The radius of the circle is shown. Round to the nearest tenths place.

Answers

The total area of the figure is 50.13 square units.

How to find the area of the figure shown?

We can decompose the figure into a rectangle of 12 by 3 units, and a semicircle whose radius is 3 units.

Remember that the area of a rectangle is equal to the product between its dimensions, then the area of the rectangle we will get.

A = 12*3 = 36 square units.

For a semicircle of radius R, the area is:

a = 0.5*3.14*R²

Here the radius is 3 units, then.

a =  0.5*3.14*3² = 14.13 square units.

Adding that we will get:

total area = 36 square units + 14.13 square units.

total area = 50.13 square units.

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Solve for a side in right triangles

Answers

The value of the hypotenuse AB is 4.73 units.

Given is right triangle, we need to find the measure of side AB,

So, we know that the Sine of an angle is the ratio of the perpendicular side to the hypotenuse of the triangle,

So,

Sin A = BC / AB

Sin 25° = 2 / AB

AB = 2 / Sin 25°

AB = 4.73

Hence the value of the hypotenuse AB is 4.73 units.

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HELP!!! augment geometry help

Answers

The number of balloons needed to fill the room is given as follows:

5729 balloons.

How to obtain the volume of a rectangular prism?

The volume of a rectangular prism, with dimensions length, width and height, is given by the multiplication of these dimensions, according to the equation presented as follows:

Volume = length x width x height.

The dimensions of the room are given as follows:

15 ft, 25 ft and 8 ft.

Hence the volume is given as follows:

V = 15 x 25 x 8

V = 3000 ft³

The volume of a sphere of radius r is given by the multiplication of 4π by the radius cubed and divided by 3, hence the equation is presented as follows:

V = 4πr³/3.

The balloon has a radius of 0.5 ft, hence it's volume is given as follows:

V = 4π x 0.5³/3

V = 0.5236 ft³.

Then the number of balloons is obtained as follows:

3000/0.5236 = 5729 balloons.

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Factor out the greatest common factor.
polynomial.
3
2x³ - 10

Answers

The greatest common factor of the given polynomial is 2, so we can factor it out to get: 2(x³ - 5)

We have to factories 2x³ - 10

So, 2x³ = 2 . x . x . x

10 = 2 . 5

Then, 2x³ - 10

= 2. x . x . x - 2.  5

= 2( x . x .x - 5)

= 2 (x³ - 5)

The greatest common factor of the given polynomial is 2, so we can factor it out to get: 2(x³ - 5)

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Find the derivative of f(x)=(3x^2-4x+1)^4

Answers

Step-by-step explanation:

[tex]f'(x)=[(3x^2-4x+1)^4]'=4(3x^2-4x+1)^3*(3x^2-4x+1)'=4(3x^2-4x+1)^3*(6x-4)=8(3x^2-4x+1)^3(3x-2);[/tex]

The required derivative of f(x) = (3x² - 4x + 1)⁴ is f'(x) = 4(3x² - 4x + 1)³ * (6x - 4)

We can use the chain rule and power rule of differentiation to find the derivative of f(x).

Let u = 3x² - 4x + 1, then we have:

f(x) = u⁴

Using the chain rule, we get:

f'(x) = 4u³ * u'

To find u', we can differentiate u with respect to x using the power rule:

u' = d/dx (3x² - 4x + 1) = 6x - 4

Substituting u' and u into f'(x), we get:

f'(x) = 4(3x² - 4x + 1)³ * (6x - 4)

Therefore, the derivative of f(x) = (3x² - 4x + 1)⁴ is f'(x) = 4(3x² - 4x + 1)³ * (6x - 4)

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Cindy is designing a rectangular fountain in the middle of a courtyard. The rest of the courtyard will be covered in stone.The part of the courtyard that will be covered in stone has an area of 246 square feet. What fraction of the area of the courtyard will be occupied by the fouantain.

Answers

The fountain will occupy a fraction of 50/173 of the Total area of the courtyard.

Let A be the area of the courtyard and F be the area of the fountain.

We know that the area of the stone-covered part of the courtyard is 246 square feet.

So, the area of the whole courtyard is A = 246 + F square feet.

The fraction of the area of the courtyard occupied by the fountain is given by:

F / A = F / (246 + F)

We can simplify this expression by multiplying the numerator and denominator by the reciprocal of the denominator:

F / A = F / (246 + F) * (1 / (246 + F))

F / A = F / (246 * (246 + F))

F / A = 1 / (246 / F + 1)

We don't know F yet, but we can use the fact that the fountain is rectangular to set up an equation relating the length and width of the fountain:

F = L * W

where L is the length of the fountain and W is the width of the fountain.

We also know that the perimeter of the fountain is 50 feet:

2L + 2W = 50

Simplifying this equation, we get:

L + W = 25

Solving for one variable in terms of the other, we get:

L = 25 - W

Substituting this expression for L into the equation for F, we get:

F = (25 - W) * W

Expanding this expression, we get:

F = 25W - W^2

We also know that the cost of the fountain is $600, which includes installation. So, we can set up another equation relating the cost of the fountain to its dimensions:

1.5LW = 600

Substituting 25 - W for L, we get:

1.5(25 - W)W = 600

Expanding and simplifying this equation, we get:

W^2 - 25W + 400 = 0

Solving this quadratic equation, we get:

W = 20 or W = 5

We reject the solution W = 5 because it implies a negative length for the fountain, which is not physically possible. Therefore, the width of the fountain is W = 20 feet and its length is L = 25 - W = 5 feet.

The area of the fountain is therefore:

F = L * W = 5 * 20 = 100 square feet

The fraction of the area of the courtyard occupied by the fountain is

F / A = 100 / (246 + 100) = 100 / 346 = 50 / 173

So, the fountain will occupy a fraction of 50/173 of the total area of the courtyard.

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Given: OA = AC = 2
AB is a tangent line to k(O)

Find: AB

Answers

Answer:

AB = 2√3  units

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

Tangent is perpendicular to radius, hence ΔAOB is right triangle.

Given that OA = AB, and we know OA = OC as two radius. Therefore OAC is equilateral triangle, hence all its angles are same:

m∠AOC = 180°/3 = 60°

It means ΔOAB is a specific 30x60x90 right triangle.

The ratio of its sides is:

OA : AB : OB = 1 : √3 : 2

It gives us that:

AB = OA√3AB = 2√3  

Multiplication 1 x 1/6 =

Answers

Answer:

1/6

Step-by-step explanation:

1 x 1/6 = 1/6

Any number multiplied with one is that number itself.

1/6

Step-by-step explanation: Anything multiplied by 1 equals itself, therefore, the answer is 1/6. Hope this helps, and please give me Brainliest! :)

write down the value of the 1 in 213,456​

Answers

Step-by-step explanation:

The value of the digit 1 in the number 213,456 is 10,000.

Calculate the interest of an investment of $3500 at 2.75% for 3 years.

Use the functions:
A = P (1+r/n)nt and A = Pe rt
Fill out the table below for given values.

A =
P =
r = (as decimal)
t =​

Answers

Answer: We can use both formulas to calculate the interest on an investment of $3500 at 2.75% for 3 years.

Using the formula A = P(1+r/n)^(nt), where A is the final amount, P is the principal amount, r is the annual interest rate as a decimal, n is the number of times interest is compounded per year, and t is the time in years, we have:

A = 3500(1+0.0275/1)^(1*3) ≈ $3843.84

Therefore, the interest earned is:

Interest = A - P = $3843.84 - $3500 = $343.84

Using the formula A = Pe^(rt), where A is the final amount, P is the principal amount, r is the annual interest rate as a decimal, t is the time in years, and e is the mathematical constant approximately equal to 2.71828, we have:

A = 3500e^(0.0275*3) ≈ $3843.84

Therefore, the interest earned is:

Interest = A - P = $3843.84 - $3500 = $343.84

The interest earned is $343.84 in both cases.

pls check photo for question

Answers

120 is the answer for that one

URGENT
Georgia will use the pattern shown to make a square pyramid out of cardboard. The square pyramid will not have a bottom.


A net of a square pyramid. The square base has side lengths of 9 inches. The triangular sides have heights of 14 inches.


How much cardboard will she need if a = 14 in. and b = 9 in.?

Group of answer choices


378 square inches


630 square inches


504 square inches


252 square inches

Answers

Georgia will need [tex]\(\boxed{333}\)[/tex] square inches of cardboard to construct the square pyramid.

To calculate the amount of cardboard needed to construct the square pyramid, we need to find the surface area of each individual face and then add them together.

Given that the base of the pyramid is a square with side length [tex]\(b = 9\) inches[/tex] and the height of the triangular sides is [tex]\(a = 14\) inches[/tex], we can proceed as follows:

The surface area of the square base is [tex]\(b^2 = 9^2 = 81\)[/tex] square inches.

Each triangular face has a base equal to the side length of the square base, [tex]\(b = 9\) inches[/tex], and a height of [tex]\(a = 14\) inches[/tex]. Therefore, the surface area of each triangular face is [tex]\(\frac{1}{2} \times b \times a = \frac{1}{2} \times 9 \times 14 = 63\)[/tex] square inches.

Since there are four triangular faces in a square pyramid, the total surface area of the triangular faces is [tex]\(4 \times 63 = 252\)[/tex] square inches.

Adding the surface area of the square base and the total surface area of the triangular faces, we get [tex]\(81 + 252 = 333\)[/tex] square inches.

Therefore, Georgia will need [tex]\(\boxed{333}\)[/tex] square inches of cardboard to construct the square pyramid.

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help me- Name the triangle with the following characteristics. sides: 5 cm, 6 cm, 7 cm; Angles: 75° and 60°.
A) acute scalene triangle
B) acute isosceles triangle
C) obtuse scalene triangle
D) right isosceles triangle

Answers

We can start by using the Law of Cosines to determine if the triangle is acute or obtuse. The Law of Cosines states that for any triangle with sides a, b, and c, and angle C opposite side c:

c^2 = a^2 + b^2 - 2ab cos(C)

Using this formula, we can determine that:

7^2 = 5^2 + 6^2 - 2(5)(6)cos(75°)

49 = 25 + 36 - 60cos(75°)

cos(75°) = (25 + 36 - 49) / (2(5)(6))

cos(75°) = -0.087

Since the cosine of 75° is negative, the angle C opposite side c = 7 cm is greater than 90°, and the triangle is obtuse.

Next, we can look at the angles of the triangle. The angle opposite the side of length 5 cm is 60°, which means that the other two angles must add up to 120°. Since the triangle is obtuse, one of these angles must be greater than 90°, which means that the triangle cannot be isosceles. Therefore, the triangle is an obtuse scalene triangle.

The correct answer is C) obtuse scalene triangle.

Answer

I think it's acute scalene triangle

Step-by-step explanation:

All the angles are less than 90 degrees, which is acute.

A right triangle has side lengths d, e, and fas shown below.
Use these lengths to find cosx, tanx, and sinx.
2
f
d
COSX =
tanx =
sinx =
0
0
0

Answers

Answer:

cos(x) = f/etan(x) = d/fsin(x) = d/e

Step-by-step explanation:

You want to find the values of cos(x), tan(x), and sin(x) in right triangle DEF as shown in the figure.

Trig relations

The relationships between trig functions and sides of a right triangle are summarized in the mnemonic SOH CAH TOA. This tells you ...

  Cos = Adjacent/Hypotenuse

  cos(x) = f/e

  Tan = Opposite/Adjacent

  tan(x) = d/f

  Sin = Opposite/Hypotenuse

  sin(x) = d/e

<95141404393>

1+1
Wrong answers only

Answers

The answer is 11 I think

3. Which of the following is equivalent to 5/x= 3/x-12

Answers

Answer: 5(x - 12) = 3x

Step-by-step explanation:

       We can cross-multiply to answer this question.

[tex]\frac{5}{x} =\frac{3}{x-12}[/tex]

5 * (x - 12) = 3 * x

5(x - 12) = 3x

Answer:

b) 5(x - 12) = 3x

Step-by-step explanation:

Given expression,

→ 5/x = 3/(x - 12)

Now we have to,

→ Find the equivalent expression.

Let's find the required answer,

→ 5/x = 3/(x - 12)

Cross multiplying both sides:

→ 5(x - 12) = 3(x)

5(x - 12) = 3x

Applying Distributive property:

→ 5(x) - 5(12) = 3x

→ 5x - 60 = 3x

Solving for the value of x:

→ 5x - 3x = 60

→ 2x = 60

→ x = 60/2

→ [ x = 30 ]

Hence, the value of x is 30.

PLEASE ANSWER URGENTLY
Drag the tiles to the correct boxes to complete the pairs. Match the y-coordinates with their corresponding pairs of x-coordinates on the unit circle. ​

Answers

the x coordinates are matched as follows

For y = √110/11  x = ± 1/√(11)

For y = 7/11  x = ± 6√(2) /11

For y = 5/11   x = ±4√(6) /11

For y = 9/11:   x = ±2√(10) /11

How to find the x values

Using the equation of the unit circle

x² + y² = 1

For y = √110 / 11

x² + (√110/11)² = 1

x² + 110/121 = 1

x² = 1 - 110/121

x² = 11/121

x = ±√(11)/11

x = ± 1/√(11)

For y = 7/11

x² + (7/11)² = 1

x² + 49/121 = 1

x² = 1 - 49/121

x² = 72/121

x = ±√72/11

x = ± 6√(2) /11

For y = 5/11

x² + (5/11)² = 1

x² = 1 - 25/121

x² = 96/121

x = ±4√(6) /11

For y = 9/11

x² + (9/11)² = 1

x² = 1 - 81/121

x² = 40/121

x = ±√40/11

x = ±2√(10) /11

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5.5B + 4R = 28
7.
The above equation is true if Amit buys B pounds
of blueberries and R pounds of raspberries at a farm
where blueberries cost $5.50 per pound and
raspberries cost $4.00 per pound. According to the
equation, how much does Amit spend in total on
both types of berries?
A. $9.50
B. $22.00
C. $28.00
D. $56.00

Answers

Answer: $28.00 (C)

Step-by-step explanation:

The total is 28 (based on the equation).

No matter how many blueberries or raspberries Amit buys, the toal must equal 28 dollars.

the answerr is $28.00

Need help with this mathematical question

Answers

Five-number summary for data set A is: 21, 23.5, 27, 31.5, 34

Five-number summary for data set B is: 21, 22.5, 24.5, 28.5, 35

How to Determine the Five-number Summary of a Data Set?

the five-number summary of a data set consists of:

The minimum or the lowest value

First quartile (Q1), that is the middle of the first part of the data set when ordered.

Median, that is the center of the data set.

Third quartile (Q3), that is the middle of the second part of the data set when ordered.

Maximum value or largest value.

The five-number summary is written from the least to the largest value.

Five-number summary for data set A:

Given, 24, 31, 30, 32, 23, 25, 34, 32, 25, 21, 22, 29;

Minimum: 21

First Quartile: 23.5

Median: 27

Third Quartile: 31.5

Maximum: 34

Five-number summary for data set B:

Given, 35, 33, 32, 21, 22, 23, 24, 25, 24, 22, 25, 25;

Minimum: 21

First Quartile: 22.5

Median: 24.5

Third Quartile: 28.5

Maximum: 35

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HOMEWORK HELP PLEASE !!! THANKS​

Answers

a. Answer: the point (9, -8) lies on line Q

Explanation: (9, -8) is a set of coordinates of the form (x, y). This means that 9 is the x-coordinate and -8 is the y-coordinate. To find which line the point (9, -8) lies on, substitute 9 for x and -8 for y in the equations.

P: -8 = 3(9) - 6, FALSE, therefore this point does not lie on the line P
Q: 4(9) + 3(-8) = 12, TRUE, therefore this point does lie on the line Q


b. Answer: line Q is written as y = -(4/3)x + 4 in slope-intercept form. In slope-intercept form, the coefficient of the term with x in it corresponds to the slope of the line (its steepness). Because the absolute value of -4/3 is less than the absolute value of 3, line P is steeper than line Q.

Explanation for slope-intercept form of Q: we need to isolate y on one side. First subtract 4x from both sides of 4x + 3y = 12. This gives us 3y = 12 - 4x. Next, divide both sides by 3 to isolate y. Now the equation is y = 4 - (4/3)x. In slope-intercept form, it is customary to write the term with x before the constant. This gives y = -(4/3)x + 4.

Please help with problems 1-7 please

Answers

The probability of drawing a red or green M&M is 29/74.

The probability of drawing an M&M that is not blue or green is 36/74.

the probability of drawing an M&M that is not brown is 69/74.

The probability of drawing a red or green M&M is the sum of their probabilities, since they are mutually exclusive events (meaning that an M&M can't be both red and green at the same time):

P(red or green) = P(red) + P(green) = 8/74 + 21/74 = 29/74

The probability of drawing an M&M that is not blue or green is the complement of the probability of drawing a blue or green M&M:

P(not blue or green) = 1 - P(blue or green) = 1 - (P(blue) + P(green)) = 1 - (17/74 + 21/74) = 36/74

The probability of drawing an M&M that is not brown is the complement of the probability of drawing a brown M&M:

P(not brown) = 1 - P(brown) = 1 - 5/74 = 69/74

To determine which is more likely, drawing a red M&M or drawing an orange M&M, we need to compare their probabilities:

P(red) = 8/74

P(orange) = 12/74

Since 12/74 is greater than 8/74, it is more likely to draw an orange M&M than a red M&M.

The color with the highest chance of being drawn is the one with the highest probability, which is green with a probability of 21/74.

The probability of drawing any M&M is 1, since there is a 100% chance of drawing an M&M when you draw from the bag.

Probability is the measure of the likelihood of an event occurring, expressed as a number between 0 and 1, where 0 represents impossibility and 1 represents certainty.

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HELP PLEASE its worth 30 points

Answers

Answer:

i'm pretty sure it is "the graph forms a parabola"

Step-by-step explanation:

the graphs forms a parabola, im just trying tk get the points

Explain why every positive number has two square roots.

Answers

Answer:

Squaring positive and negative numbers always yields a positive number; the product of two negative numbers is always a positve number.  Using √4 as an example, we know the positive answer is 2 since 2 * 2 = 4.  However, the negative answer is -2 since -2 * -2 = 4 also.

Maricopa's Success scholarship fund receives a gift of $ 145000. The money is invested in stocks, bonds, and CDs. Stocks pay 6.7 % interest, bonds pay 2.5 % interest, and CDs pay 5.75 % interest. Maricopa Success invests $ 10000 more in bonds than in CDs. If the annual income from the investments is $ 6977.5 , how much was invested in each account?

Maricopa Success invested $ in stocks.
Maricopa Success invested $ in bonds.
Maricopa Success invested $ in CDs.

Answers

Answer:

stocks: $45000bonds: $55000CDs: $45000

Step-by-step explanation:

You want to know the amounts invested in stocks, bonds, and CDs when the total investment is $145000, $10000 more is invested in bonds than CDs, earnings are $6977.50, and rates of return are 6.7% for stocks, 2.5% for bonds, and 5.75% for CDs.

Setup

We can write three equations in 3 unknowns for this problem. Let s, b, c represent amounts invested in stocks, bonds, and CDs, respectively. Then the problem statement tells us the relations are ...

s + b + c = 145000b - c = 100000.067s +0.025b +0.0575c = 6977.50

Solution

These equations can be solved using any of several methods. The second equation offers a nice relation between b and c, so substitution for one or the other of those will reduce the equations to two equations in two unknowns.

We prefer a calculator solution using an augmented matrix of the coefficients. That is shown in the attachment. It tells us the investment amounts are ...

stocks: $45000bonds: $55000CDs: $45000

__

Additional comment

Using b = c +10000, the two remaining equations are ...

s +2c = 1350000.067s +0.0825c = 6727.50

<95141404393>

Find the x-intercepts and y-intercept of the following function.
f(x) = (x+9) (x +9) (x-8)

Answers

Answer:

To find the x-intercepts, we set y = 0 and solve for x:

f(x) = (x+9) (x+9) (x-8) = 0

The solutions are x = -9 (double root) and x = 8.

To find the y-intercept, we set x = 0:

f(0) = (0+9) (0+9) (0-8) = -583.

Therefore, the y-intercept is (0, -583).

A little too late I got this question yesterday on an assignment and didn’t think to look on here

△DOG triangle, D, O, G, find DG

Round your answer to the nearest hundredth.
A right triangle D O G. Angle D O G is a right angle. Angle D G O is seventy-two degrees. Side D G is unknown. Side D O is eight point two units.

Answers

Answer:100

Step-by-step explanation:

Other Questions
a project has an initial cash outflow of $42,600 and produces cash inflows of $17,680, $19,920, and $15,670 for years 1 through 3, respectively. what is the npv at a discount rate of 12% how can your personal mission statement make other people feel accountable to also take care of the environment. give an example for each type of desert 1. frozen desert 2. fruit cobblers 3. pudding 4. fruit 5. custard 6. gelatin 7. cheese In a LAN, which of the following terms best equates to the term VLAN?a. Collision domainb. Broadcast domainc. Subnetd. Single switche. Trunk a walker can see a cliff face some distance away and wants to estimate how far away it is. He makes a loud noise and times how long it takes the echo to come back. It takes 1.8s if the speed of sound is 345 m/s how far away is the cliff? For a quadrilateral to be a square, the diagonals must be ________________. Responses perpendicular perpendicular, EndFragment, congruent and perpendicular congruent and perpendicular, EndFragment, parallel parallel, EndFragment, congruent congruent, EndFragment, the first great practitioner of evangelical calvinism was are the winds blowing clockwise or counterclockwise in the pressure center over virginia and pennsylvania? The range of the data in the 4th of July parade is blank the range of data in the New Years Day parade Determine if triangle KML is similar to triangle PRQ. If they are similar, enter the scale factor. an older adult patient takes an opioid analgesic after a right hip open reduction internal fixation (orif). which medication will the provider prescribe to prevent constipation? design a synthesis of o-bromo-t-butylbenzene from t-butylbenzene. A proton moves across the Earth's equator in a northeasterly direction. At this point the earth's magnetic field has a direction due north and is parallel to the surface. What is the direction of the force acting on the proton at this instant? a good research technique is to turn your specific purpose statement into a research question. Read the sentence from the section "The U.S. Supreme Court."It also establishes precedents on new laws and circumstances.Why did the author use the word "precedents"?Ato convey a sense of presidential powerBto convey a sense of fairness and traditionCto convey a sense of continuous changeDto convey a sense of priority and importance Write a balanced equation using the correct formula and include conditions (s, l, g or aq) for the following reaction:Liquid hexene (C6H12) burns in oxygen gas to form carbon dioxide gas and water vapor. How did mail-order catalogs help people in more rural areas of the country? If you can help me Ill be grateful!!! this is used to mark the end of a complete c++ programming statement. explain why there is legal protection for occurrence reporting and peer review activities and how this facilitates performance improvement activities.