A circle is centered at the point (-7, -1) and passes through the point (8, 7).
The radius of the circle is ___ units. The point (-15, ___) lies on this circle. What are the answers?

Answers

Answer 1

Answer:

Find Radius using distance formula.

[tex]radius = \sqrt{(8 -- 7)^2 +(7--1)^2} \\[/tex]

            =[tex]\sqrt{15^2 + 8^2} = \sqrt{225 + 64 } =\sqrt{289} = 17 units[/tex]

Since the point (-15, y) lies on the circle. The distance between (-7, -1) and

(-15, y ) will be 17 units.

So again using distance formula we will find y.

[tex]radius = \sqrt{(-7 --15)^2 + (-1-y)^2} \\\\17 = \sqrt{8^2 + (y+1)^2}\\\\squaring \ both \ sides \\\\289 = 64 + (y+1)^2\\\\289-64=(y+1)^2\\\\225 = (y+1)^2\\\\taking \ squaring \ root\\\\15 = y+1\\\\y=14[/tex]

point (-15, 14)


Related Questions

How do you find the domain and range of a graph in Algebra 2?

Answers

Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

Now, According to the question:

How do you find the domain?

Let y = f(x) be a function with an independent variable x and a dependent variable y. If a function f provides a way to successfully produce a single value y using for that purpose a value for x then that chosen x-value is said to belong to the domain of f.

How do you find the range?

The range is calculated by subtracting the lowest value from the highest value.

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Please help me!!!! I'm terrible at math. Please!! HELP!!!

A rectangular prism has a volume of 6x^4−13x^3−5x^2. What expressions can represent the dimensions of the prism? Use factoring.

Answers

Answer:

[tex]6x^4-13-5x^2[/tex]

[tex]given[/tex]

[tex]x^2(6x^2-13x-5)[/tex]

[tex]Factor ~ out ~the~common~Factor~of ~x^2[/tex]

[tex]x^2(3x+1)(2x-5)[/tex]

[tex]Factor ~the ~quadratic~equation[/tex]

[tex]x^2,3x+1,2x-5[/tex]

[tex]These ~factors ~can ~ be ~ the ~dimenions~of ~the ~prism~because~they ~will \\yield~the~ correct ~volume.[/tex]

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hope it helps...

have a great day!!

plssssss help me correct gets brainliest

Answers

Answer:

b

Step-by-step explanation:

i did it rn

Answer:

B: 57.12

Step-by-step explanation:

2.8 times 1.2 times 17 is 57:12

Is x-intercept a number or a point?

Answers

The point at a graph where the graph cuts the x-axis is known as the x-intercept. Therefore, the x-intercept is a point.

A graph is made up of four quadrants in which two are positive and two are negative quadrant.

There are two types of axis which are x-axis and y-axis two negative and two positive.

The y-intercept is the point where the graph cuts the y-axis .Graph Theory is the study of graphs which comes under discrete mathematics.

It is defined as a mathematical structure that connects a group of points to express a specific function.

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a form of reasoning called is the process of forming general ideas and rules based on your experiences and observation

Answers

A form of reasoning called induction is the process of forming general ideas and rules based on your experiences and observations.

What is the Induction?

The process of welcoming newly hired employees and assisting them in adjusting to their new positions and working surroundings is known as induction. Beginning a new work can be stressful, so new hires require assistance adjusting to their new environment.

The action or process of inducting someone to a position or organization.

We have given that,

A form of reasoning called is the process of forming general ideas and rules based on your experiences and observations.

As a result, the process of formulating general hypotheses and rules based on your observations and experiences is known as induction.

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Marissa is skateboarding on a straight stretch of sidewalk. In 3.0 minutes, she travels 486 meters. What is the magnitude of her velocity during this stretch?

Answers

Marissa velocity while skateboarding is 162 meters per minute

What is an equation?

An equation is used to show the relationship between numbers and variables.

Velocity is the ratio of displacement to time taken. It is a vector quantity (has magnitude and direction) and it is given by:

Velocity = displacement / time

Marissa travels 486 meters in 3 minutes, hence:

Velocity = displacement / time

Velocity = 486 m / 3 min = 162 meters per minute

The velocity is 162 meters per minute

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Answer: The correct answer is 2.7m/s

Step-by-step explanation:

I took the test

Hi, please help ! (see image)

Answers

Answer:

R = 144400000/59 [this is a fraction]

what is the measure of angle a

Answers

Answer:

C. 19.47°

Step-by-step explanation:

The triangle's angles are 90°, 70.53°, and 19.47°.

What is the result of adding the system of equations 2x y 4 3x y 6?

Answers

The addition of terms [tex]2x+y^4[/tex] and [tex]3x+y^6[/tex] will be [tex]5x+y^4+y^6[/tex]

A polynomial is an equation made up of variables, constants, and exponents that are mixed using mathematical operations including addition, subtraction, multiplication, and division (No division operation by a variable).

Simply add the coefficients of each phrase to add polynomials.

You may remove polynomials by subtracting the coefficients.

To add polynomials, just combine any like terms.

Step 1: Arrange each polynomial in decreasing order of degree, starting with the term with the highest degree.

Step 2: Sort the words that are similar. Similar phrases have the same variables and exponents.

So, the addition of terms [tex]2x+y^4[/tex] and [tex]3x+y^6[/tex] will be (2x+3x) (As here both are only the like terms, so they will be added together)

So, the sum will be: [tex]5x+y^4+y^6[/tex]

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The correct question should be:

What is the result of adding the system of equations:

[tex]2x+y^4[/tex] and [tex]3x+y^6[/tex]

A bicycle has a listed price of 839.95 before tax. If the sales tax rate is 85%, find the total cost of the bicycle with sales tax included. Round to the nearest cent as necesary.

Answers

$1553.91

Step-by-step explanation:

839.95 ×.85 = 713.96

839.95 + 713.96 = 1553.91

A heavy rainstorm damages this year's crop of peanuts. The price of peanut butter increases. What will happen to the demand of jelly?
Answer the 3 questions below related to this scenario.
Complete sentences are not required. Please number each answer.
1. Will there be an increase or decrease?
2. Which way will the graph shift?
3. What is the determinant?

Answers

On solving the provided question, we got to know that -  to plot the graph, required equation is 3x +y -8 = 0

What is an expression?

a collection of numbers, symbols, and operators (like + and ) that represent a value. Examples -  2 + 3 is a formula and there is also the statement 3 x/2. The equals symbol does not appear in expressions. Actually, none of these = ≠ < > ≤ ≥

We frequently have to understand a written phrase in order to write an expression. For instance, the notation x + 6 can be used to represent the phrase "6 added to some number," where x stands for the unknown value. To plot the graph,we need to find the equation first.

and to find the equation -

(y - y1) = m( x - x1)

y1 = -4

x1 = -2

y = 3

x = -5)

equation  -

(-3)(x-1) = y-5

-3x + 3 = y-5

3x - 3 = 5-y

3x +y -8 = 0

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Find the equation for the line running
to y = -5x + 5 and passes through the
perpendicular
point (10,7).

Answers

let's reword this a bit differently, since it looks jumbled

let's find the equation of a line that is perpendicular to y = -5x + 5, and it also passes through (10 , 7), well, keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

[tex]y=\stackrel{\stackrel{m}{\downarrow }}{-5}x+5\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{ -5 \implies \cfrac{-5}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{-5}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{-5} \implies \cfrac{1}{ 5 }}}[/tex]

so we're really looking for the equation of a line with a slope of 1/5 and that it passes through (10 , 7)

[tex](\stackrel{x_1}{10}~,~\stackrel{y_1}{7})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{1}{5} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{7}=\stackrel{m}{ \cfrac{1}{5}}(x-\stackrel{x_1}{10}) \\\\\\ y-7=\cfrac{1}{5}x-2\implies {\Large \begin{array}{llll} y=\cfrac{1}{5}x+5 \end{array}}[/tex]

Can someone help me solve this?

Answers

The value of x is 15 units and the value of y is 12 units from the given figure.

What are similar triangles?

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

From the figure, AB is parallel to CD.

∠AOB=∠COD (Vertically opposite angles)

∠OAB=∠ODC (Alternate angles)

By AA similarity ΔAOB similar to ΔCOD

Now, 9/x =y/20 =3/5

9/x=3/5

x=15 units

y/20=3/5

y/4=3/1

y=12 units

Therefore, the value of x is 15 units and the value of y is 12 units from the given figure.

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Ruby uses 7.2 pints of blue paint and white paint to paint her bedroom walls. 3/4 of this amount is blue paint, and the rest is white paint. How many pints of white paint did she use to paint her bedroom walls?

Answers

Answer:

1 4/5 or 1.8 pints are white

Step-by-step explanation:

1/4 of 7 1/5 = 1/4 x 36/5 = 36/20 or 9/5, which is 1 4/5

-15x+4x+2-x= x+ as a no solution

Answers

The equation -15x + 4x + 2 - x = x has  solution and the solution is 2/13

How to determine if the equation has no solution

From the question, we have the following parameters that can be used in our computation:

-15x+4x+2-x= x+

Express the equation properly

So, we have the following representation

-15x + 4x + 2 - x = x

Collect the like terms in the equation

This gives

-x - 15x + 4x - x = -2

Evaluate the like terms

So, we have the following representation

-13x = -2

Divide both sides by -13

This gives

x = 2/13

Hence, the solution is 2/13

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4/9 down on a number line

Answers

Answer:

Step-by-step explanation:

                                                             !:}

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

0     1/9            2/9                   3/9     4/9        5/9   6/9   7/9   8/9  9/9

A part-time handyman made $8798. 04 last year. If he claimed himself as an

exemption for $3650 and had a $5700 standard deduction, what was his

taxable income last year?

A. $551. 96

B. $5,148. 04

C. $0

D. $3,098. 04

Answers

$0, He earned $8798 in net taxable income the previous year. He has a negative amount of taxable income since the exemption and the allowed deduction are larger than his annual gross income.

What is compound interest?

Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.

It occurs when interest is reinvested, or added to the loaned capital rather than paid out, or when the borrower is required to pay it, so that interest is generated the next period on the principal amount plus any accumulated interest.

In finance and economics, compound interest is common.

In contrast to simple interest, which does not compound since past interest is not added to the principal for the current period, compound interest allows interest to build over time.

The interest per period multiplied by the number of periods in a year yields the simple annual interest rate.

According to our question-

Last year, a part-time housekeeper earned $8798.

He claimed he was exempt, costing $365.

$570.00 is the standard deduction.

Gross income less the standard deduction and all exemptions equals taxable income.

= 8798 - 3650 - 5700 = $-552

There is a negative number, which indicates that he owes no taxes.

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Which fraction is closer to 1/2 than 0 or 1?

Answers

Answer:

8/12

hope this helps

have a good day :)

Step-by-step explanation:

Ali, ben and cathy hare an amount of money in the radio 8:9:10 what fraction of the money doe ben get?

Answers

There are 8+9+10=27 equal parts, so Ben has 1/3 of the total amount of money.

What do you mean of ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girls) 1 / 4 are boys and 3 / 4 are girls.

How to find the ratio?

Ratios compare two numbers, usually by dividing them. If you are comparing one data point (A) to another data point (B), your formula would be A/B. This means you are dividing information A by information B. For example, if A is five and B is 10, your ratio will be 5/10.

For n/(8+9+10), where n is an integer <27

 Ali : Ben : Cathy

   8 : 9 : 10

Thus, there are 8+9+10=27 equal parts, so Ben has 1/3 of the total amount of money.

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Write a Parallel line for the equation =34−5

Answers

Answer:

y = 34x + 3

Step-by-step explanation:

we want to write a parallel line equation for;

y = 34x-5

The general equation of a straight line is;

y = mx + b

where m is slope and b is y intercept

from what we have above, 34 is the slope

When two lines are parallel, the slope value is equal irrespective of the y intercept value

since slope is equal, we can have ;

y = 34x + 3

Graph the solution to this inequality on the number line.

−8+x<−3

marking brainliest

Answers

The inequality is solved as x < 5 and it is plotted on the number line.

What is linear inequality?

Linear inequality refers to the relation between a linear algebraic expression to some known value that contains inequality sign.

Unlike a linear equation it can have a range of values inside an interval.

The given inequality is −8 + x < −3.

It can be solved as follows,

⇒ −8 + x < −3

Add 8 both sides as,

⇒ 8 + −8 + x < −3 + 8

⇒ x < 5

It can be plotted on the number line as follows,

Hence, the solution is given as x < 5 and it is represented on the number line with clarity.

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Solve equations - two sides
(135a)
Solve
2x - 7=7x +5

Answers

Answer:

x=-12/5

Step-by-step explanation:

2x-7=7x+5

2x-7x=5-(-7)

-5x=5+7

x=12/-5

x=-12/5

A group of 36 people from the Nantucket recreation center plans to purchase tickets for a cruise to Permut Bermuda the standard fare for an individual ticket is $1200 the group is informed that because of the size of the group the standard fare will be reduced by 30% with a discount of 30% how much does each member of the Nantucket recreation center have to pay for a cruise ticket show or explain how you got your answer (SOMEONE PLEASE HELP)

Answers

The total amount each member of the Nantucket recreation center have to pay after the discount is given by the equation A = $ 840

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total amount for each person after discount be represented as A

Now , the equation will be

The total number of people in the group = 36

The standard fare for each person = $ 1200

So , the total cost of the fare = total number of people x standard fare for each person

Substituting the values in the equation , we get

The total cost of the fare = 1200 x 36

The total cost of the fare = $ 43,200

Now , the discount percentage = 30 %

So , the amount after discount = total cost of the fare - total cost of the fare x discount percentage

Substituting the values in the equation , we get

The amount after discount = 43,200 - ( 30/100 ) x 43,200

The amount after discount = 43200 - 12960

The amount after discount = $ 30,240

Now ,

Total amount for each person after discount A =amount after discount / 36

Total amount for each person after discount A = 30,240 / 36

On simplifying the equation , we get

Total amount for each person after discount A = $ 840

Therefore , the value of A is $ 840

Hence , the amount is $ 840

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Circumference question
1. Suppose a bottle of Buckley's has a radius of 2cm. If you created a label for this product. What is the length of this label?


2. Assumes the company uses 22cm x 12cm boxes for delivery to stores. How many vials will be in each box?


suppose the price of each vial is $5.00. What is the cost of a box?

Answers

1: 2cm. ‎
2: 2cm ‎
3: 12cm

Anyone pls? I'll give brainliest

Answers

Answer:The answer to your question is 5

I don’t know just need the answer

Answers

On solving the provided question we can say that It is isosceles triangle the value of QR is 1.3

An isosceles triangle is what?

Therefore, an isosceles triangle has two equal sides as well as two equal angles. The Greek words iso (same) and skelos are the source of the name (leg). An equilateral triangle is one in which all of its sides are equal, whereas a scalene triangle is one in which none of its sides are equal. An isosceles triangle is one that has two equal-length sides in geometry. With the latter specification, the equilateral triangle is included as a special case even though it is commonly stipulated that it must have at least two sides of equal length.

It is isosceles triangle so, that

ratio of QT/QR = ET/RS

4.7/X = 4.7/1.3

X = 1.3

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What is the degree of the polynomial x4 x3 5x 3?

Answers

The degree of the polynomial x4 x3 5x 3 is 4, since it is the highest degree of the polynomial.

What is polynomial?

A polynomial is an expression that consists of variables, coefficients, and operators such as addition, subtraction, multiplication, and division. It is used to represent a mathematical relationship between variables. The degree of a polynomial is the highest power that appears in the expression, and it indicates the number of terms that make up the polynomial. Polynomials are usually written in descending order of powers, and the highest power is the leading term.

The highest degree of any polynomial is considered its degree. It is also referred to as the degree of the polynomial's leading term, since it is the highest power of x. In this case, the leading term is x4.

The degree of a polynomial can be used to classify the type of polynomial it is. For example, if the degree of a polynomial is 2, it is a quadratic polynomial. Similarly, if the degree of a polynomial is 3, it is a cubic polynomial.

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ILL BRAINLIEST YOU PLEASE HELP ME

Answers

A D and F

All the others are also true for rectangles

Answer:

im pretty sure a b g

Step-by-step explanation:

What happens when you add 1/3 to negative 1/3?

Answers

Answer:

You get zero

Step-by-step explanation:

Find each measure for the given set of data: 11, 13, 17, 20, 22, 25, 27, 31, 31, 33

Answers

The values of mean ,median, range and inter quartile range could be 23,23.5,22,14 respectively.

What is mean ?

mean can be defined as the ratio of sum of the total observations and the number of total observations.

Given set of data

11,13,17,20,22,25,27,31,31,33

Mean  =  11 +13+17+20+22+25+27+31+31+33/10

= 230/10

 =23

Hence  mean = 23

The (n/2)th term= the 5th term

                       =22

The  (n/2+1) term = The  6th term

= 25

The median = 22+25/2

                  =23.5

Range = Highest term - lowest term

          =33- 11

           =22

Here lower half {11,13,17,20,22}

The middle number of lower half is first quartile.

Q₁ = 17

And lower half is{25,27,31,31,33}

The middle number of upper half is third quartile.

Q₃=31

Interquartile Range =Q₃-Q₁

                               =31-17

                                =14

Hence, The values of mean ,median, range and inter quartile range could be 23,23.5,22,14 respectively.

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Approximately how tall is the streetlight? Round your answer to the nearest tenth. The body's primary source of energy comes fromO A) FatsO B) VitaminsOC) ProteinsOD) CarbohydratesPLEASE HURRY Harry goes to Hogwarts School of Witchcraft and Wizardry. He can travel to school and back in 3 different ways: by the Hogwarts Express, a flying car, or the Knight Bus. He's decided to choose his methods of transportation to and from Hogwarts at random this year.Which of these tables lists all the different ways Harry can get to Hogwarts and back? (Each row represents one outcome.)Choose all answers that apply:Choose all answers that apply:(Choice A)ATable A(Choice B)BTable BTable A:To HogwartsFrom HogwartsKnight BusKnight BusKnight BusFlying CarKnight BusHogwarts ExpressFlying CarKnight BusFlying CarFlying CarFlying CarHogwarts ExpressHogwarts ExpressKnight BusHogwarts ExpressFlying CarHogwarts ExpressHogwarts ExpressTable B:To HogwartsFrom HogwartsKnight BusHogwarts ExpressFlying CarFlying CarHogwarts ExpressKnight BusKnight BusKnight BusFlying CarHogwarts ExpressHogwarts ExpressFlying CarKnight BusFlying CarFlying CarKnight BusHogwarts ExpressHogwarts Express What are the four factors that affect the natural selection? A line is drawn so that is passed through the points (2, -1) and (0, 5). What is the slope of the line What area of American society did the HUAC focus on?A. Wealthy LandownersB. PoliticiansC. HollywoodD. Urban Poor What event is being described by President Franklin D Roosevelt in the above 1941 address to Congress? ?Calculate the load arm and effort arm from the following figure if the lever is inbalanced condition. In which class of lever do spoon and scissor belong to.(Ans: 3m, 15 m)2+1 The depth of water in a tank oscillates sinusoidally once every 8 hours. If the smallest depth is 6. 6 feet and the largest depth is 9. 4 feet, find a possible formula for the depth in terms of time t in hours. Assume that at t=0 the water level is at the average of the depth and is rising. . Need help ASAP need done before 3:30 The lateral urface area of cone A i equal to the lateral urface area of cylinder b The cost of a certain cell phone plan can be modeled by C(m) = 2m + 15, where C(m) is the total cost for m minutes of cell phone usage. State the meaning of the slope with respect to the cost associated with the cell phone plan. A ____ exerted by an object on another is a force What is the probability that the student selected at random preferred bananas or grapes? 26 58 42 34 Jessie has 8 more pencils than Dylan. Together they have a total of 18 pencils. How many pencils did Dylan have?Options:A. 5B. 8C. 13(NOT 10) How can acknowledgment of injustice influence victims, bystanders, perpetrators, and the descendants of these individuals? HELP i need to write A literary analysis and i started it but i think it sucks- i need help. i attached what i wrote already. https://www.sabanciuniv.edu/HaberlerDuyurular/Documents/F_Courses_/2012/Dead_Mens_Path.pdf also thats the link to the short story :) whoever helps me i love u with all my frreaking heart Which of the following quotations from the text describes the setting of Maya Angelou's "I Know Why the Caged Bird Sings"?O "The girls often held hands and no longer bothered to speak to the lower students."O "Parents who could afford it hadordered new shoes and ready-made clothes for themselves from Searsand Roebuck or Montgomery Ward."O "The high school seniors would wait in empty classrooms to make their dramatic entrance."O "There was a large expanse to the left of the school, which was used alternatively as a baseball diamondor a basketball court." A) The three levels of biodiversity are genetic diversity, species diversity, and ecosystem diversity. Explain the three levels of biodiversity and the concerns associated with loss of diversity at each level.B) Species and genetic diversity can be very beneficial to humans. Describe three ecosystem services that nature provides to humans. Which sample of matter has the lowest average kineticenergy?O 50. g at -55C and 2.0 atmO 50. g at 273 K and 4.0 atmO 50. g at 33C and 3.0 atmO 50. g at 367 K and 1.0 atm