Based on the calculations, the radius of this circle with the given equation is equal to 5 units.
Given the following data:
[tex]x^2+y^2+8x-6y+21=0[/tex]The equation of a circle.Mathematically, the standard form of the equation of a circle is given by;
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where:
h and k represents the coordinates at the center.r is the radius of a circle.Expanding the equation, we have:
[tex]x^2+y^2-2hx-2ky+(h^2+k^2-r^2)=0\\\\r=\sqrt{h^2+k^2}[/tex]
Comparing the terms, we have:
[tex]-2hx = 8x\\\\-2h=8\\\\h=\frac{8}{-2}[/tex]
h = -4
[tex]-2ky = -6y\\\\-2k=6\\\\k=\frac{6}{-2}[/tex]
k = 3.
Now, we can determine the radius:
[tex]r=\sqrt{-4^2+3^2}\\\\r=\sqrt{16+9} \\\\r=\sqrt{25}[/tex]
r = 5 units.
Read more on circle here: https://brainly.com/question/14078280
Ecoskate makes skateboards from recycled plastic. for a recent job lot of 100 skateboards, the company incurred direct materials costs of $600 and direct labor costs of $200. factory overhead applied to this job is $900. required: 1. what is the total manufacturing cost of this job lot? 2. what is the cost per skateboard?
Answer:
32$ per skateboard for this question
Drag the numbers to put the following steps in the correct order
Answer:
Can you put the steps in the question or is it a trick ❓
A shop that sells fine glassware offers gift wrapping at no extra cost.
A shop that offers gift wrapping at no extra cost is offering promotional strategy.
What is promotional strategy?Promotion strategies are known to be things or services that often influence or stimulate demand for a firm's goods or services.
Note that Promotional strategy is set up so as to inform, persuade, or remind target audiences about a specific products The act of spending money towards free gift wrapping will bring more customers to them.
Learn more about promotional strategy from
https://brainly.com/question/24967768
use the data in the table below to determine whether each plant is a short-day plant, a long-day plant, a day-neutral plant, or a plant that cannot be classified based on the data.
The short-day plants are plant A and plant D; The Long day plants are plant C and plant E.
What is the classification of each plant?1) Plants in short day; From the given data in the table, we can tell that flowers after a long night and plant flowers after long night were interrupted by the flash of far-red light and a flash of red light. Thus, plant A and plant D are short-day plants.
2) Plants in the long day; Flowers after a long night and flowers after a short night light interrupted them. Thus, plans in the long day are plant C and plant E.
3) Plants on a neutral day; These had plant flowers in all photoperiods possible where photoperiods controls flowering in various plants. Thus, they are plant B and plant F.
Read more about plant classification at; https://brainly.com/question/9616300
Determine the form of each augmented matrix: 4 11 2 −6 0 −5 8 7 0 0 −2 3 1 0 0 −6 0 1 0 3 0 0 1 3 1 0 3 −6 0 6 0 8 7 0 1 13
The forms of each of the matrices depicts how the row and column elements of the matrices are arranged
The matrix A is in row echelon formThe matrix B is in reduced row echelon formThe matrix C is is neither in row echelon form nor in reduced row echelon formHow to determine the form of the matrices?The matrix A is given as:
[tex]\left[\begin{array}{cccc}4&11&2\\0&-5&8\\0&0&-2\end{array}\right]\left[\begin{array}{c}-6&7&3\end{array}\right][/tex]
The elements on the leading diagonals are: 4, -5 and -2
The elements under the leading diagonals are 0, 0 and 0
When the elements under the leading diagonals are 0, then the augmented matrix is row echelon form
The matrix B is given as:
[tex]\left[\begin{array}{cccc}1&0&0\\0&1&0\\0&0&1\end{array}\right]\left[\begin{array}{c}-6&3&3\end{array}\right][/tex]
The elements on the leading diagonals are: 1, 1 and 1
All other elements in the matrix are 0's
When the elements on the leading diagonals are 1's, and other elements are 0's, then the augmented matrix is reduced row echelon form
The matrix C is given as:
[tex]\left[\begin{array}{cccc}1&0&3\\0&6&0\\7&0&1\end{array}\right]\left[\begin{array}{c}-6&8&13\end{array}\right][/tex]
The above matrix is neither in row echelon form nor in reduced row echelon form, because it does not satisfies the condition of both forms of matrices
Read more about augmented matrices at:
https://brainly.com/question/11392945
Answer:
in picture below that I got from edg 23 precalc
Explanation:
How many different nth roots does a nonzero complex number have?
The Complex nth Roots Theorem with any nonzero complex number has exactly n ∈ N distinct nth roots.
What is a non-zero complex number?This is the quantity which does not equal zero is said to be nonzero. A real nonzero number must be either positive or negative, and a complex nonzero number can have either real or imaginary part nonzero.
The roots lie on a circle of radius centered at the origin and spaced out evenly by angles of 2π/n.
Learn more about the nth root here:
https://brainly.com/question/1581238
In line 20 what has made all the difference according to the speaker of the poem
Answer:
show me line 20 i am a a+ english student
Explanation:
Which of the indicators on the chart above tell(s) us that Australia and New Zealand are highly developed countries?
A.
per capita GDP
B.
unemployment rate
C.
infant mortality rate
D.
all of the above
Answer:
Answer: D
GDP per capita is a measure of a country's economic output that accounts for its number of people.
The unemployment rate is defined as the percentage of unemployed workers in the total labor force.
The infant mortality rate is the number of deaths under one year of age.
Given the above information, a country with a higher GDP would have a more stable economy aiding in growth. A lower unemployment rate would show a surplus of jobs indicating, once again, a steady and growing economy. Lastly, a lower infant mortality rate would show access to advanced medicine and a highly trained medical field. All three of these examples are indicators of a highly developed country.
Explanation:
Identify a feeling that ginsberg conveys with his use of style, structure, and theme.
Answer: C. A sense that the speaker feels out of place in 1950s America
Explanation:
The perimeter of sophia's garden is 42 m the garden is 6 m wide what is the length of the garden
Answer:
30?
Explanation:
thats if it is a rectangle
7.2 connecting intercepts and linear factors answer key
An example of 7.2 connecting intercepts and linear factors is Graph y = x + 4 and y = x - 2 using a graphing calculator and then sketch the graphs on the grid.
What are linear factors?The linear factors of a polynomial are known to be the first-degree equations that are said to be the framework of more complex and higher-order polynomials.
The Graph of y = x + 4 and y = x - 2 with the sketch of its graphs on the grid is shown in the image attached.
Learn more about linear factors from
https://brainly.com/question/9194610
A(n) ________ is a coherent set of interdependent processes and structures that dictates how the company searches for novel problems and solutions, synthesizes ideas into a business concept and product designs, and selects which projects get funded
Based on business analysis, an innovation system is a coherent set of interdependent processes and structures that dictates how the company searches for novel problems and solutions.
What is innovation systems?Innovative systems is a process that break ideas into a business concept and product designs and then select which projects get funded.
Innovation system comprises components like:
TechnologyEnterprisesInformationPeopleInstitutionHence, innovation systems is a coherent set of interdependent processes and structures that dictates how the company searches for novel problems and solutions.
Learn more about innovation systems here: https://brainly.com/question/25753260
What is the value of x? sin64°=cosx enter your answer in the box. x = °
Sin and cosine of the acute angle are complementary trigonometric functions. This means that between these trigonometric functions, the rule of complementary acute angles applies: sin64° = cos(90°-64°) = cos26°
So, if we have given cos64° = cosx and we want to determine the value of the acute angle x, given the complementarity of the angles to 90 degrees, the required value of the angle x is 26°.
The answer is: x = 26°
Mathematics course 3 common core 2013 edition solutions
To find out what normita and her family do on holidays, write the appropriate word or phrase from the list. you won't use all the words, but none of the words are used more than once. ¡ojo! remember verb/subject agreement when conjugating verbs.
The appropriate phrase from the list that uses the verb/subject agreement is "When someone in my family has a birthday, we always have a party".
What is verb/subject agreement?The Subject-verb agreement simply means that a subject and its verb must be both singular or plural. In this case, a singular subject takes a singular verb and a plural subject takes a plural verb.
From the complete question, the appropriate phrase from the list that uses the verb/subject agreement is "When someone in my family has a birthday, we always have a party".
Learn more about verbs on:
https://brainly.com/question/1718605
Every real zero of a polynomial function appears as a/an
to 0 are called the zeros of f. These values of x are the roots, or solutions, of the polynomial equation f(x) = 0. Each real root of the polynomial equation appears as an x-intercept of the graph of the polynomial function.
How many iron atoms are present in 3.0 mol of iron metal?
Answer:
There are 1.806×10²⁴ atoms in 3 moles of iron.
Explanation:
Step 1:
Data obtained from the question
Number of mole of Fe = 3 moles
Number of atom =?
Step 2:
Determination of the number of atom.
From Avogadro's hypothesis, we understood that:
1 mole of Fe = 6.02×10²³ atoms
Therefore,
3 moles of Fe = 3 × 6.02×10²³ atoms
3 moles of Fe = 1.806×10²⁴ atoms
Thus, 3 moles of iron, Fe contains 1.806×10²⁴ atoms.
Question 1 with 1 blank andrea y daniel 1 of 1 (ver) todos los días. Question 2 with 1 blank los amigos 1 of 1 (encontrar) en el centro de la ciudad. Question 3 with 1 blank el padre y la madre de lisa 1 of 1 (querer) mucho. Question 4 with 1 blank javier y yo 1 of 1 (saludar) por las mañanas. Question 5 with 1 blank los compañeros de clase 1 of 1 (ayudar) con las tareas. Question 6 with 1 blank paula y su mamá 1 of 1 (llamar) por teléfono todos los días
El propósito de la pregunta es completar las oraciones usando los recíprocos reflexivos de los verbos, en tiempo presente. Las oraciones se pueden escribir así:
Andrea y Daniel se ven todos los días.Los amigos se encuentran en el centro de la ciudad.El padre y la madre de Lisa se quieren mucho.Javier y yo nos saludamos todas las mañanas.Los colegas nos ayudarán con nuestra tarea.Paula y su madre se llaman todos los días.¿Cuáles son los reflexivos recíprocos del verbo?Son aquellos cuyo sujeto realiza y sufre la acción verbal, y expresan la reciprocidad de la acción de un elemento sobre el otro.
Por tanto, esta construcción verbal se utiliza para mantener la concordancia y la cohesión en un texto.
Encuentre más sobre reflexivos recíprocos aquí:
https://brainly.com/question/23242607
A scientist views different objects using a light microscope. which features would the scientist most likely see for samples from multicellular organisms?
Through the use of a light microscope it is possible to observe in multicellular organisms different types of cells and organelle features, and in general, they are all very small.
What are multicellular organisms?They are all those forms of life whose bodies are composed of a diversity of cells organized, hierarchical, at the cellular level through organelles that are specialized cell differentiations.
The cells that make up these organisms have different shapes and sizes and, in general, they are all very small, so to see them it's needed a light microscope, an instrument that increases many times the size of samples.
Therefore, we can conclude that through the use of a light microscope it is possible to observe in multicellular organisms different types of cells and organelle features, and in general, they are all very small.
Learn more about multicellular organisms here: https://brainly.com/question/22237401
Mañana rewrite the sentences using ir a + [infinitive] to say that these people will do the same activities again tomorrow. follow the model.
The correct way of rewriting the sentences, using the form "ir a," are:
Rosa va a patinar en línea mañana de nuevo. Nosotros vamos a ver una película mañana otra vez. Tú vas a tomar el sol mañana también. Yo voy a leer un mensaje electrónico mañana de nuevo. Mis abuelos van a escribir una carta mañana también.How do a person write sentences in Spanish?There are different rules used in sentences that are in Spanish. One is that a person has to place the subject first, before adding a verb and a complement.
Note that Spanish sentences needs to have a period at the end of your sentences and have to also start with a capital letter.
Learn more about sentences from
https://brainly.com/question/14465910
What issues facing journalist are mentioned in the news brainly
The main issue that news outlets keep referring to when talking about issues facing journalists is Credibility.
Why is credibility the main issue?These days journalists are said to be quite biased in their reporting in order to get people to be more interested in issues that the journalist values.
This is what gave rise to the term, "fake news." The issue has gotten so bad that a lot of people doubt the credibility of journalists and news outlets when they report on certain things which has affected the impact of the news.
Find out more on news credibility at https://brainly.com/question/2771379.
Houghton mifflin harcourt geometry volume 2 answer key
Houghton Mifflin Harcourt geometry volume 2 is one that covers the topics on the use of Similar Triangles, transformation and others. It is a textbook that helps students to sharpen their knowledge on geometry.
What is Hmh Geometry?This is known to be the 21st Edition geometry textbook that was written by Houghton Mifflin Harcourt . Some of the topics covered in this geometry textbook are:
Transformations and SymmetryLines and AnglesAngles and Segments in Circles.Congruent Figures, etc.Learn more about geometry from
https://brainly.com/question/24375372
A batch of 140 semiconductor chips is inspected by
Answer:
A batch of one hundred forty semiconductor chips would be inspected by choosing a sample
Which of the following statements about the art of the Pacific Islands is false?
A.
Traditional religions forbid the making of religious art.
B.
Carving is a specialized art form that is practiced in the Pacific Islands.
C.
Featherwork is an art form of the Pacific Islands.
D.
Shells are used for artwork.
Answer:
The answer is A. Traditional religions forbid the making of religious art.
Explanation:
how many chromosomes should be in each diploid cells after mitosis
In humans 46 chromosomes should be in each of these diploid cells after mitosis
hope this helps
The lagrange corporation had the following budgeted sales for the first half of the current year: cash sales credit sales january $70,000 $340,000 february $50,000 $190,000 march $40,000 $135,000 april $35,000 $120,000 may $45,000 $160,000 june $40,000 $140,000 the company is in the process of preparing a cash budget and must determine the expected cash collections by month. To this end, the following information has been assembled: collections on sales: 60% in month of sale 30% in month following sale 10% in second month following sale the accounts receivable balance on january 1 of the current year was $70,000, of which $50,000 represents uncollected december sales and $20,000 represents uncollected november sales. The total cash collected during january by lagrange corporation would be:
Assuming $20,000 represents uncollected november sales. The total cash collected during january by lagrange corporation would be:$331.500.
Total cash collectedFirst step
Total Credit Sales in December= $50,000/40%
Total Credit Sales in December= $125,000
Second step
Total cash collected during January = Cash sales of January + (60% x Credit sales of January) + (30% x Credit sales of December)+ Uncollected November sales
Let plug in the formula
Total cash collected during January = $70,000 + (60% x $340,000) + (30% x $125,000) + $20,000
Total cash collected during January=$70,000+204,000+37,500+$20,000
Total cash collected during January=$331,500
Inconclusion the total cash collected during january by lagrange corporation would be:$331.500.
Learn more about Total cash collected here:https://brainly.com/question/17270007
Nate’s ice-cream cone has a diameter of 4 cm and a height of 14 cm. what is the approximate volume of the ice-cream cone?
Answer: 58.643 cm^3
Explanation:
Volume of a cone = (1/3) * π * r^2 * h
Half of the diameter is the radius, so r = 2 and h = 14.
Plug in: V = (1/3) * π * 2^2 * 14 = 58.643 cm^3 :)
The aldol condensation involves nucleophilic attack of an enolate to a carbonyl. use the pop-up menus to identify the total number of aldol products that each of the following reactions can produce.
Answer:
Which of these is considered a long-term effect of alcohol abuse?
vomiting
slurred speech
impaired judgment
thin and brittle bones
Explanation:
Which of these is considered a long-term effect of alcohol abuse?
vomiting
slurred speech
impaired judgment
thin and brittle bones
In florida, the class e driver license is for drivers of _____.
Answer:
personal vehicles
Explanation:
like an automobile
The size of a tv screen is given by the length of its diagonal