Determine and state the coordinates of the center and the length of the radius of the
circle whose equation is x2 + y2 + 6x = 6y + 63

1) A translation 2 units right

2) A reflection over the x-axis

The parentheses role in the sentence of Javier (in spite of his reservations) decided to go to the house party is that it shows a comment the writer is making.

The parentheses is known to be a kind of a word or phrase that is said to be often inserted as a form of an explanation or what we call an afterthought into what the writer is meaning to say or portray.

Note that the statement is not grammatically complete without the use of it hence it is often used in writing and marked off by the use of brackets, dashes, or commas.

Therefore, The parentheses role in the sentence of Javier (in spite of his reservations) decided to go to the house party is that it shows a comment the writer is making.

Learn more about parentheses from

https://brainly.com/question/972166

#SPJ1

The radius of the hemisphere is 9.5 inches.

The diameter of the hemisphere is 19 inches.

The surface area of the hemisphere is 850.2 inches²

circumference of a circle = 2πr

where

Therefore,

19π = 2πr

2r = 19

r = 19 / 2

r = 9.5 inches

diameter = 9.5 × 2 = 19 inches

Therefore,

surface area of an hemisphere = 3πr²

surface area of an hemisphere = 3 × 3.14 × 9.5²

surface area of an hemisphere = 850.155 inches²

surface area of an hemisphere = 850.2 inches²

learn more on hemisphere here: https://brainly.com/question/14076143

#SPJ1

Answer:

√s(s-a) (s-b) (s-c)

Step-by-step explanation:

123456

herons formula

A trapezoid is a plane figure bounded by four sides. Therefore, the required answers are given below;

a) ΔADE = ΔBCF (Side-Angle-Side congruent property)

b) DE = 5 cm and CF = 5 cm

c) AE = 12 cm

Plane figures are shapes that are formed by straight boundaries referred to as sides. Examples include; square, rectangle, trapezium, etc.

A trapezoid is a family of quadrilaterals., these are figures that have four straight sides.

In the given question, the required answers are:

a) To prove that ΔADE = ΔBCF

Thus,

AE ⊥ DC  (given)

BC ⊥ DC  (given)

<AED = <BFC = [tex]90^{o}[/tex]

AE = BF (height of the trapozoid)

<ADE ≅ <BCF (congruent property of two triangles)

Therefore, it can be concluded that;

ΔADE = ΔBCF (Side-Angle-Side congruent property)

b) Given that AB = 8 cm, and DC = 18 cm.

Then,

CD = DE + EF + FC

18 = DE + 8 + FC   (since EF = AB)

18 - 8 = 2 DE     (since DE = FC)

DE = 5 cm

Thus, DE = 5 cm and CF = 5 cm

c) To determine the value of AE, we have to apply the Pythagoras theorem. So that;

[tex]/Hyp/^{2}[/tex] = [tex]/Adj 1/^{2}[/tex] + [tex]/Adj 2/^{2}[/tex]

[tex]13^{2}[/tex] = [tex]AE^{2}[/tex] + [tex]5^{2}[/tex]

169 - 25 =  [tex]AE^{2}[/tex]

[tex]AE^{2}[/tex] = 144

AE = [tex]\sqrt{144}[/tex]

     = 12

AE = 12 cm

For more clarifications on the measure of the sides of a trapezoid, visit: https://brainly.com/question/28007759

#SPJ 1

A sample statistic becomes more accurate as the sample size increases due to the law of large numbers.(option C)

The law of large numbers is a theorem in statistics that states that as the number of experiments increases, the sample mean becomes closer to the theoretical mean. The law of large numbers was first proved by Jacob Bernoulli.

For example, if you carry out an experiment to determine how many students in the US attend high school and the only person you ask tells you he does not attend high school. If you conclude the experiment based on the response of that one person, it is likely that you would conclude that on average, people in the US do not attend high school. If you ask more people, it is likely that your opinion would change and you could come to the conclusion that majority of US citizens attend high school.

To learn more about the law of large numbers, please check: https://brainly.com/question/9061041

#SPJ1

The correct option is (B) yes because all the elements of set R are in set A.

Given sets:

So,

Therefore, the correct option is (B) yes because all the elements of set R are in set A.

Know more about sets here:

https://brainly.com/question/2166579

#SPJ4

The complete question is given below:
Consider the sets below. U = {x | x is a real number} A = {x | x is an odd integer} R = {x | x = 3, 7, 11, 27} Is R ⊂ A?

(A) yes, because all the elements of set A are in set R

(B) yes, because all the elements of set R are in set A

(C) no because each element in set A is not represented in set R

(D) no, because each element in set R is not represented in set A

Answer:

1

Step-by-step explanation:

(10x + 25) / (3x + 12) = (5x) / (x + 4)

5(2x + 5) / 3(x + 4) = 5(x) / (x +4)

(2x + 5) / 3 = x

2x + 5 = 3x

x = 5

Check.

(10*5+ 25) / (3*5 + 12) = (5*5) / (5 + 4)

75/27 = 25/9

25/9 = 25/9

The factor of [tex]$a^{2} b+2 a^{2}+3 b+6$[/tex] exists [tex]$\left(a^{2}+3\right)(b+2)$$[/tex].

Let the given factor be [tex]$a^{2} b+2 a^{2}+3 b+6$[/tex]

To factor this we use the grouping method

We group the first two terms and last two terms then we factor out the greatest common factor (GCF) from each group.

[tex]$\left(a^{2} b+2 a^{2}\right)+(3 b+6)$$[/tex]

Take out GCF from each group

[tex]$a^{2}(b+2)+3(b+2)$$[/tex]

Now factor out b+2, we get

[tex]$\left(a^{2}+3\right)(b+2)$$[/tex]

The factor of [tex]$a^{2} b+2 a^{2}+3 b+6$[/tex] exists [tex]$\left(a^{2}+3\right)(b+2)$$[/tex].

To learn more about the grouping method refer to:

https://brainly.com/question/24240168

#SPJ4

The age of the pottery bowl to the nearest year is 4307 years. Using exponential decay or growth formula, the required value is calculated.

The formula for the exponential growth/decay is

[tex]N=N_0e^-^k^t[/tex]

Where,

N - the total amount after time t

N₀ - the initial amount

k - growth or decay rate

t - time

It is given that,

A student in Greece discovers a pottery bowl that contains 65% of its original amount of C-14.

⇒ N(t) = 0.65N₀

But we have k = 0.0001.

Then,

[tex]N(t)=N_0e^-^k^t[/tex]

0.65 N₀ = N₀ [tex]e^{-(0.0001)t}[/tex]

⇒ 0.65 = [tex]e^{-(0.0001)t}[/tex]

⇒ ln [tex]e^{-(0.0001)t}[/tex] = ln 0.65

⇒ -(0.0001)t = -0.4307

⇒ t = 0.4037/0.0001

∴ t = 4307 years.

Thus, the age of the pottery bowl is 4307 years.

Learn more about exponential growth or decay here:

https://brainly.com/question/1979778

#SPJ1

To do content analysis on the characteristics people seek in a partner by examining the personals section of three newspapers the unit of analysis will be objective of the section.

Given that we are interested in doing content analysis on the characteristis people seek in a partner by examining the personals section of three newspaper.

Content analysis is basically a research tool used to determine the presence of certain words, themes,or concepts within some given qualitative data. Using content analysis, a researchers can quantify and analye the presence meanings and relationships of such certain words, themes and concepts.

When we are required to do content analysis by examining the personals section of three newspapers, its units can be objective of section. Some part is related to matrimonials, some are for rent,etc.and some are for commercial advertisements.

Hence the unit of analysis is objective of the section.

Learn more about content analysis at https://brainly.com/question/890849

#SPJ4

Combining of the two cylinders gives a composite figure that has the surface area of a solid cylinder of radius 7 mm and height 6 mm, such that the surface area of the figure is approximately 571.5 mm².

Radius of the inner cylinder, r = 3 mm

Radius of the outer cylinder, R = 7 mm

Height of the cylinders, h = 6 mm

Given that the inner cylinder exactly fits into the outer cylinder, we have;

The surface area of the composite figure is the surface area of the hollow outer cylinder + The area of the top and bottom of the inner cylinder.

Which gives;

The surface area of the composite figure, A, is the surface area of a solid cylinder, using the dimensions of the hollow outer cylinder.

Which gives;

Where, π = 3.14, we have;

A = 2 × 3.14 × 7² + 2 × 3.14 × 7 × 6 ≈ 571.5

Learn more about the analyzing of composite figures here:

https://brainly.com/question/21135654

#SPJ1

The population of Dorchester in 1999 is 277000.

According to the statement

we have given that the population in 2012. and given that the it is increased 6% from the year 1999. And we have to find the population in 1999.

So, For this purpose,

we have given that the number of

population of Dorchester in 2012 = 294,680

increased from year 1999 = 6%

So, here we use percentage and subtraction formula

Population increase in numbers = 6/100*294,680

Population Increase in numbers = 17680

So, Population in 1990 = population of Dorchester in 2012 - Population increase in numbers

Population in 1990 = 294,680 - 17680

Population in 1990 = 277000.

So, The population of Dorchester in 1999 is 277000.

Learn more about Percentage here

https://brainly.com/question/843074

#SPJ1

Answer:  18 cows

Step-by-step explanation: C = how many cows can graze on 720 acres of land. 40(C) = 720. 720/40 = 18 C = 18.

Answer:

40x = 720

x = 18

Step-by-step explanation:

x = number of cows

The length of the diagonal of the canvas = 27 inches.

The correct option is D.

A fundamental relationship in Euclidean geometry between a right triangle's three sides is known as the Pythagorean theorem, or Pythagoras' theorem. The area of the square whose side is the hypotenuse is said to be equal to the total of the areas of the squares on the other two sides.

the Hight of the rectangle = 18 inches

the angle it form sinθ = H/P

H = 18

P =

cosθ = 48

cosθ = H/P

cosθ =18/P

P = 18/cosθ

 = 29.60

= 27

The length of the diagonal of the canvas = 27 inches.

To know more about Pythagoras visit:

https://brainly.com/question/343682

#SPJ4

Answer:

24 / 7

Step-by-step explanation:

y - 4(2y - 5) = -4

y - 8y + 20 = -4

-7y = -24

7y = 24

y = 24/7,

y = 3 and 3/7

or

y = 3.428571 all recurring

(they are all the same value in different forms I would just write 24/7)

Step-by-step explanation:

I think the above picture should help

Answer: sequence II, sequence I, sequence III

Answer:

the order is Paco, Tim, Jenny, Maria

Step-by-step explanation:

Answer:

b.

Paco, Tim, Jenny, Maria

Step-by-step explanation:

The equation of [tex]f(x) = e^{-6x}[/tex] by maclaurin series is [tex]f(x)=\sum_{i=0}^{\infty} \frac{(-6.x)^{i} }{i!}[/tex].

The maclaurin series for f(x) is defined by the following formula:

[tex]f(x) = \sum_{i=0}^{\infty} \frac{f^{(i)} (0)}{i!} .x^{i}[/tex]--------------(1)

Where [tex]f^{i}[/tex] is the i - th derivative of the function

If f(x) = [tex]e^{-6x}[/tex], then the formula of the i - th derivative of the function is:

[tex]f^{i} =(-6)^{i} .e^{-6x}[/tex]----------------------(2)

Then,

[tex]f^{i}(0) = (-6)^{i}[/tex]

Lastly, the equation of the trascendental function by Maclaurin series is: [tex]f(x)=\sum_{i=0}^{\infty} \frac{(-6)^{i}.x^{i} }{i!} \\f(x)=\sum_{i=0}^{\infty} \frac{(-6.x)^{i} }{i!}[/tex]---------------(3)

Hence,

The equation of [tex]f(x) = e^{-6x}[/tex] by maclaurin series is [tex]f(x)=\sum_{i=0}^{\infty} \frac{(-6.x)^{i} }{i!}[/tex].

Find out more information about maclaurin series here

https://brainly.com/question/24179531

#SPJ4

The hypothesis is given as

H0:  μd< 0

H1: μd > 0

The null hypothesis is given as

H0:  μd< 0

H1: μd > 0

SWe have to find the value of s

we would use this formula s = sqrt [ (Σ(di - d)^2 / (n - 1) ]

This gives us  3.454

Next we have to determine the standard error

s / √(n)

3.454/2.8284

= 1.22

Degree of freedom = 8 - 1

= 7

t = (x1 - x2) - D / S.E

=  1.025

Find t critical at 0.10

= 1.895

P-value = 0.1697

d. Given that p value is greater thatn 0.1 we fail to reject the null hypothesis.

Read more on statistics here:

https://brainly.com/question/4219149

#SPJ1

The lengths of each side of the triangle LMN are, LM = 4 units, MN = 3.606 units, and NL = 2.236 units.

The lengths of each side of the triangle L'M'N' are, L'M' = 4 units, M'N' = 3.606 units, and N'L' = 2.236 units.

We can conclude that all corresponding sides are equal, and the two triangles are congruent.

All angles must be congruent, as the image L'M'N' has been parallelly translated from the preimage LMN.

The coordinates of the image are L' (-4, 1), M' (-4, 5), and N' (-2, 2). The length of each side of the triangle LMN:

LM = √((2 - 2)² + (-6 - (-2))²),

or, LM = √((0² + (-4)²),

or, LM = √16 = 4 units.

MN = √((2 - 4)² + (-2 - (-5))²),

or, MN = √((-2)² + (3)²),

or, MN = √(4 + 9) = √13 = 3.606 units.

NL = √((4 - 2)² + (-5 - (-6))²),

or, NL = √((2)² + (1)²)

or, NL = √(4 + 1) = √5 units = 2.236 units.

The length of each side of the triangle L'M'N':

L'M' = √((-4 - (-4))² + (5 - 1)²),

or, L'M' = √((0² + (4)²),

or, L'M' = √16 = 4 units.

M'N' = √((-4 - (-2))² + (5 - 2)²),

or, M'N' = √((-2)² + (3)²),

or, M'N' = √(4 + 9) = √13 = 3.606 units.

N'L' = √((-4 - (-2))² + (1 - 2))²),

or, N'L' = √((2)² + (1)²)

or, N'L' = √(4 + 1) = √5 units = 2.236 units.

Now, since LM = L'M', MN = M'N', and NL = N'L', that, is all the corresponding sides are equal, we can conclude that all corresponding sides are equal, and the two triangles are congruent.

Since the triangles are congruent, the image L'M'N' has been parallelly translated from the preimage LMN.

Thus, all angles must be congruent, as the image L'M'N' has been parallelly translated from the preimage LMN.

Every point moves the same amount and in the same direction throughout a translation. As a result of the picture being identical in size and shape to the preimage, a translation is referred to as a rigid transformation or isometry.

Learn more about translations at

https://brainly.com/question/14711639

#SPJ1

Answer:

false

Step-by-step explanation:

I'm assuming this a true/false statement? Perfect squares can be defined as: [tex]a^2[/tex] where a is an integer, and a^2 is a perfect square. The reason for this is because if you take the square root of a^2, you get a, which should be an integer. Odd numbers are also integers, 3^2 = 9, and taking the square root of 9 results in an integer. So for this reason perfect squares is a number whose square root is an integer, not just even numbers

The midpoint of the given line in coordinate form (x, y) is -0.5, 0)

The midpoint of a line is the middle of the given line. Given the coordinate points (x1, y1) and (x2, y2), the midpoint of the line is given as:

M(x, y) = {x1+x2/2, y1+y2/2}

Given the coordinate points on the line (-2, 1) and (1, -1)

Substitute the given coordinate points into the formula to have:

M(x, y) = {-2+ 1/2, 1-1/2}

M(x, y) = {-1/2, 0/2}
M(x, y) =(-0.5, 0)

Hence the midpoint of the given line in coordinate form (x, y) is (-0.5, 0)

Learn more on midpoint here: https://brainly.com/question/5566419

#SPJ1

Part 1

[tex]m\angle AOB=m\angle BOC[/tex]

Part 2

Since [tex]m\angle AOB=m\angle BOC[/tex] from part 1, we know that since [tex]m\angle AOB=53^{\circ}[/tex], by the transitive property of equality, [tex]m\angle BOC=53^{\circ}[/tex].

Part 3

[tex]m\angle AOC=m\angle AOB+m\angle BOC=53^{\circ}+53^{\circ}=106^{\circ}[/tex]

The directrix of the parabola with equation (y + 3)² = 8 · (x - 3) is equal to y = - 5. (Correct choice: B)

According to the given statement, we have a parabola of the form (y - k)² = 4 · p · (x - h), whose axis of symmetry is parallel to the x-axis. The directrix is always perpendicular to the axis of symmetry and therefore the equation of the directrix is equivalent to x = h - p, where p is the distance from the vertex to the focus.  

If we know that the equation of the parabola (y + 3)² = 8 · (x - 3), the equation of the directrix is:

y = - 3 - 2

y = - 5

The directrix of the parabola with equation (y + 3)² = 8 · (x - 3) is equal to y = - 5. (Correct choice: B)

To learn more on parabolae: https://brainly.com/question/21685473

#SPJ1

The equation 35 = 15-24y represent the growth rate.

According to the statement

we have given that the

A weeping willow that is 15 feet in height grows to a maximum height of 35 feet in y years at a constant rate of 24 inches per year.

And we have to describe all conditions in the equation.

So,

firstly the given height of weeping pillow before growing is 15 feet.

It means the maximum real height it grows is to subtract from the maximum given height it grows.

it means we have to find the growth rate.

real height he grows is = 35-15 = 20 feet

And it grows at the 24 inches per year so, it means it become

24 y

By combining these we get the equations is

35 = 15-24y.

So, The equation 35 = 15-24y represent the growth rate.

Learn more about growth rate here

https://brainly.com/question/20115298

Disclaimer: This question was incomplete. Please find the full content below.

Question:

A weeping willow that is 15 feet in height grows to a maximum height of

35 feet in y years at a constant rate of 24 inches per year. Which of the following equations best describes this situation?

A. 37 = 15-24y

B. 35 = 15-24y

C. 35 = 15-22y

D. 39 = 15-27y

#SPJ1

Answer: 35= 15+2y

Step-by-step explanation:

I am taking the Khan Academy Lesson.

Answer:

f(-4)= 3

f(3) = 4

Step-by-step explanation:

y= f(x)

which means y is a function of x

or, in simpler words what is the value of y w.r.t to x

On obseving the graph carefully, you'll see the for the x= -4 the value of y is 3

similarly, for x= 3 , y - coordinate is 4

Answer:

  (c)  40.5 square units

Step-by-step explanation:

Assuming the kite is oriented so its diagonals are parallel to the sides of the square, each diagonal is 9 units long. The area of the kite is given by an appropriate formula.

A kite is a parallelogram with two pairs of adjacent congruent sides. Its diagonals meet at right angles. One diagonal bisects the other.

The formula for the area of a kite is ...

   A = 1/2(d1)(d2) . . . . . where d1 and d2 are the lengths of the diagonals

In this problem, the inscribed kite has congruent diagonals, both of length 9 units.

The area of the kite is ...

  A = 1/2(9)(9) = 81/2 = 40.5 . . . . square units

Supplementary angles are angles that can be summed up to give [tex]180^{o}[/tex], which is the value of the sum of angles on a line.

The required statements and reasons are given below:

Two or more lines are said to be parallel if there is no measure of the angle between them or the measure of the angle between them is [tex]180^{o}[/tex]. Thus the lines would never meet at any point even when extended to infinity.

While supplementary angles are angles that can be summed up to give [tex]180^{o}[/tex], which is the value of the sum of angles on a line.

               STATEMENTS                                        REASONS

1. < A and <B with AD ║BE, AC ║BF                   Given.

2. AD, AC, BE, BF                                                 Straight line.

3. <A ≅ <1                                                              Congruent property of

                                                                              vertically opposite angles.

4. AD + AC  ≅ DC                                                 Addition property of parts

   BE + BF  ≅ EF                                                   of a given line segment.                                    

5. <A + <B ≅ [tex]180^{o}[/tex]                                                 Addition property of

                                                                            supplementary angles.  

For more clarifications on the properties of parallel lines, visit: https://brainly.com/question/24607467

#SPJ1