If you can please show your work. Thanks!

If You Can Please Show Your Work. Thanks!

Answers

Answer 1

The equation of this circle in standard form is (x + 1)² + (y - 3)² = 4².

What is the equation of a circle?

In Mathematics and Geometry, the standard form of the equation of a circle is modeled by this mathematical equation;

(x - h)² + (y - k)² = r²

Where:

h and k represent the coordinates at the center of a circle.r represent the radius of a circle.

Based on the information provided in the graph above, we have the following parameters for the equation of this circle:

Center (h, k) = (-1, 1)

Radius (r) = 4 units.

By substituting the given parameters, we have:

(x - h)² + (y - k)² = r²

(x - (-1))² + (y - 3)² = 4²

(x + 1)² + (y - 3)² = 4²

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Complete Question:

Find the equation of this circle in standard form.


Related Questions

What is the range of function g if g (x) = f(x) + 3?
A. (3,00)
B. (-3, 3)
C. (-∞0, ∞0)
D. (-∞0, 3)

Answers

I think it is D, hope it helps

Which of these statements is true for f(x)=(1/10)^x

A. the range of f(x) is y>1/10

B. it is always increasing

C. the graph contains (1, 1/10)

D. the domain of f(x) is x>0

Answers

Answer: C. the graph contains (1, 1/10)

Step-by-step explanation:

When x=1, [tex]y=(1/10)^1=1/10[/tex].

Find the vertex and axis of symmetry of each quadratic equation.

Answers

Answer: Vertex (-2,-15) and therefore the axis of sym will be -2

Step-by-step explanation: Using -b/2a you can deduce that 4x^2 is a, 16x is b and 1 is c. So -b/2a = -16/8 = -2. Then you plug -2 for y and yu should get -15. Then x will be your axis of symetry to x=-2

Angles Related to a Circle. Solve for X

Answers

The value of x is (d) 1

How to solve for x?

The angle ABC is given as:

∠ABC = 43x

The line AB touches the tangent line BC at point B.

However, the line AB is not a radius.

This means that:

∠ABC < 90

So, we have

43x < 90

Divide by 43

x < 2.09

From the list of options, the number less than 2.09 is 1

Hence, the value of x is (d) 1

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Expand.
If necessary, combine like terms.
(x+3)(x-3)=(x+3)(x−3)=left parenthesis, x, plus, 3, right parenthesis, left parenthesis, x, minus, 3, right parenthesis, equals

Answers

The expanded form of the expression (x+3)(x-3) is x² - 9

What is the expanded form of the expression?

Given the expression;

(x+3)(x-3)

We multiply each term in the second bracket by each term in the first bracket

x(x-3) + 3(x-3)

x² - 3x + 3x - 9

x² - 9

Therefore, the expanded form of the expression (x+3)(x-3) is x² - 9.

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What is the term for breaking a larger number apart into smaller numbers that can be multiplied together to get a specific result?.

Answers

Distributive property is the term for breaking a larger number apart into smaller numbers that can be multiplied together to get a specific result.

What is distributive property?

Firstly, to distribute means to divide something or give a share or part of something.

Distributive property explains that multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

Therefore, distributive property is the term for breaking a larger number apart into smaller numbers that can be multiplied together to get a specific result.

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Using the formula: A=p(1+r)t
How much money will Mario have if he puts $1000 in a savings account earning 4% annually after 10 years?
Select one:
O a. $1004
O b. $1428.24
• c. $1000
© d. $2156.01

Answers

The amount of money Mario will have if he puts $1000 in a savings account earning 4% annually after 10 years is $1,480

Compound interest

A = p(1 + r)^t

p = $1000r = 4% = 0.04t = 10 years

A = p(1 + r)^t

= 1000(1 + 0.04)^10

= 1000(1.04)^10

= 1000(1.48)

A = $1,480

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At the store, there were 6 bags of chips for every 8 cookie boxes. If there were 104 cookie boxes, how many bags of chips were there?

Answers

Answer: There were 78 bags of chips.

Find the area of the convex polygon with vertices (0,5), (-1,2), (4,4), (-3,-4) and (2,0).

Answers

The area of the convex polygon is 21.5 square units

How to determine the area of the convex polygon?

The vertices are given as:

(0,5), (-1,2), (4,4), (-3,-4) and (2,0)

The area is then calculated as:

A = 0.5 * |x1y2 - x2y1 +x2y3 - x3y2 + ....... |

So, we have:

A = 0.5 * |-1 * 5 - 2 * 0 + 0 * 4 - 5 * 4 + 4 * 0 - 4 * 2 +2 * -4 - 0 * -3 - 3 * 2 + 4 * 1|

Evaluate

A = 0.5 * |-43|

Remove the absolute bracket

A = 0.5 * 43

This gives

A = 21.5

Hence, the area of the convex polygon is 21.5 square units

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Identify an equation in point slope form for the line parallel to y=-2/3×+8 that paases through (4,-5)

Answers

Answer:

y=-2/3x-7/3

Step-by-step explanation:

a parallel line has the same slope but different y intercept

so we need to solve for y=-2/3x+b

since it passes through 4,-5 we can plug it in for x and y

-5=-2/3(4)+b

-5=(-8/3)+b then add 8/3 to both sides

-5 is also -15/3

-7/3=b

so answer is y=-2/3x-7/3

In 2016, Alberta had about 4.2 million people.
Assuming they follow the same population
growth rate, it is predicted they will have 6.65
million people in 20 years. At what rate is the
province's population growing?

Answers

the population of province is growing at the rate of 2.91%

What is the formula of the rate of growth of a population?

the formula of the rate of growth of a population =

[(future population- initial population/initial population)*100]/time

population in 2016 = 4.2 milllion = 4200000

Population predicted in 20 years = 6.65 million = 6650000

so, initial population = 4200000

future population = 6650000

rate of growth = {(6650000- 4200000/4200000)*100]/20

                       = 58.33/20

                     = 2.91%

the population is growing at the rate of 2.91%

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Porfa urgente para hoy

Answers

Si triplicamos la cantidad de cada artículo, el subtotal será de 2 940 soles, el impuesto al consumo será de 529,20 soles y el total será de 3 469,20 soles.

¿Cual es el coste total y los impuestos por cambiar la cantidad de artículos comprados?

En esta pregunta tenemos un recibo con una lista de productos, cantidades, precios unitarios y precios de compra, además de un impuesto que se aplica al consumo por concepto de los productos comprados y el total, el cual refleja tanto el subtotal como el concepto por impuestos.

En cuanto a la compra de una determinada cantidad para un artículo, el coste total respectivo es igual a producto del número de artículos por el precio unitario.

El subtotal se determina mediante la suma de los costes totales asociados a cada artículo y luego se le recarga con el impuesto al consumo. Por último, el total de compra es la suma del subtotal y los pagos tributarios.

Si triplicamos el número de cada artículo comprado, tenemos los siguientes costes para cada artículo:

Chompas de dralom

12 / 4 × 280 = 840

Chompas de Orlon

6 / 2 × 100

300

Chompas de lana de alpaca

15 / 5 × 600

1 800

El subtotal es 2 940 soles y el impuesto al consumo es 18 / 100 × 2 940 = 529,20 soles. Por tanto, el total es 3 469,20 soles.

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Which equation is represented by the graph below?
-5
oy-ex
40
3
2
-¹11
7 ?T?
3 45 x

Answers

The equation that is represented by the graph below is y = e^x - 4.

How to illustrate the graph?

From the graph, it can be seen that the only exponential function n to hat intercept the function at equal to 3 is y = e^x - 4.

Let's equate y to 0.

y = e^x - 4.

e^x - 4 = 0

e^x = 4

In(e^x) = In(4)

x = 1.386

The x intercept is located at (1.386, 0).

In conclusion, the correct option is D.

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Based on the 2009 Kaiser Family Foundation survey, adding up the daily media use figures to obtain a report of weekly media use leads to the staggering number of more than _____ hours a week of media use by 11- to 14-year-olds.

Answers

The survey shows that adding up the daily media use figures to obtain a report of weekly media use leads to the staggering number of more than 60 hours a week of media use by 11- to 14-year-olds.

What is a survey?

It should be noted that a survey simply means a list of questions that are used to get information about a group.

In this case, the daily media use figures to obtain a report of weekly media use leads to the staggering number of more than 60 hours a week of media use by 11- to 14-year-olds.

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John noticed that the angle formed by the minute hand and hour hand on a standard 12-hour clock was 110 degrees when he left home after 6 p.m.; it was also 110 degrees when he returned before 7 p.m. that same night. If he left home for more than five minutes, for how many minutes was he away

Answers

Jhon was between 6:12 p.m and 6:52 p.m. So, Jhon left home for exact 40 minutes. Using the angle made by the hands in the clock, the required value is calculated.

How to find the angle between the minute hand and hour hand?

The general formula for finding the angle between the minute hand and the hour hand is

M = [tex]\frac{2}{11}[/tex] (H × 30 ± θ)

Calculation:

It is given that,

Jhon left home after 6 p.m with an angle of 110° formed by the minute hand and hour hand.

So,

M = [tex]\frac{2}{11}[/tex] (H × 30 - θ)

   = [tex]\frac{2}{11}[/tex] (6 × 30 - 110)

   = [tex]\frac{2}{11}[/tex] (180 - 110)

   = [tex]\frac{2}{11}[/tex] × 70

   = 140/11

So, he left after 6:12 p.m

Jhon returned home before 7 p.m with angle of 110° formed by the minute hand and hour hand.

M = [tex]\frac{2}{11}[/tex] (H × 30 + θ)

   = [tex]\frac{2}{11}[/tex] (6 × 30 + 110)

   = [tex]\frac{2}{11}[/tex] (180 + 110)

   = [tex]\frac{2}{11}[/tex] × 290

   = 580/11

So, he returned before 6:52 p.m

Then,

The time taken for returning home = 580/11 - 140/11 = 440/11 = 40 minutes.

Therefore, he took 40 minutes to return home.

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please answer quickly

Answers

1a. 10. 24

1b. 125/243

2a. 0. 0048

2b. 32/3125

3a. 0. 64

3b. 0. 0031

4a. 2/5

4b. 48. 735

5a. 2. 36

5b. 1. 39

How to determine the values

1a. Given the values

(2/5)^2/(1/2)^6

Multiply both the numerator and denominator by the powers

⇒ [tex]\frac{\frac{4}{25} }{\frac{1}{64} }[/tex]

To find the common ration, multiply thus;

⇒ [tex]\frac{4}{25}[/tex] × [tex]\frac{64}{1}[/tex]

⇒ [tex]\frac{256}{25}[/tex]

= 10. 24

1b. (5/7)^2 × (5/7)^1

= [tex]\frac{25}{49}[/tex] × [tex]\frac{5}{7}[/tex]

= [tex]\frac{125}{343}[/tex]

= 125/243

2a. 0. 6^1  × 0. 2^3

= 0. 6 × 0. 008

= 0. 0048

2b. (2/5)^3 × (2/5)^2

= [tex]\frac{8}{125}[/tex] × [tex]\frac{4}{25}[/tex]

= [tex]\frac{32}{3125}[/tex]

= 32/ 3125

3a. 1^99 - 0. 6^2

= 1 - 0. 36

= 0. 64

3b. (0. 2 ) ^1 × (1/8)^2

= 0. 2 × 1/64

= 0. 2 × 0. 016

= 0. 0031

4a. (1/2)^2/ (5/8)^1

= [tex]\frac{\frac{1}{4} }{\frac{5}{8} }[/tex]

Take the inverse of the denominator

= [tex]\frac{1}{4}[/tex] × [tex]\frac{8}{5}[/tex]

= 2/5

4b. 7^2 - 0. 5^3

= 49 - 0. 125

= 48. 875

5a. 3^1 - 0. 8 ^2

= 3 - 0. 64

= 2. 36

5b. 0. 7^2 + 0. 9^1

= 0. 49 + 0. 9

= 1. 39

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1. what are the peaks of a periodic function?
a. the highest points of the graph
b. the lowest points of the graph
c. the extremes of the graph
d. the x-intercepts of the graph

Answers

Answer:

A. The Highest Points Of The Graph

Step-by-step explanation:

A nonperiodic function is one that generates a graph without a regular recurring pattern over a fixed time interval. A repeating section of a graph is called the period.

What make 6 6 6 6=9 true

Answers

Answer:

Step-by-step explanation:

6^0 + 6^0 + 6^0 + 6

= 1+1+1+6

= 9.

It took an hour to now a lawn using a mower with 14 inches blade. How long will it take using a mower with 12 inches wide

Answers

If the time taken by 14 inches wide is one hour then the blade of 12 inches wide will take 1 hour 17 minutes to mow a lawn.

What is width?

The width of something is the measurement of one side of a body. It is generally less than length of that body or shape.

How to calculate time?

We have been given time of 1 hour if blade is 14 inches wide and we have to calculate time taken by 12 inches wide blade:

It will be as 14/12* 1 hour

=14/12

=1.167

=1.17 hour

Hence the time taken by the blade of 12 inches wide will be 1 hour and 17 minutes.

Answer:

70 mins

Step-by-step explanation:

This is called inverse proportion.

1hr : 14in

x hr : 12in

Ask yourself, what do you do to 14 to get 12? To find this out, we do:

14 / 12 = 1.16666667

Since the blade is smaller, it will take longer. So, we times 1hr by 1.16666667 to get

1.16666667 hrs =

1.17 hours (rounded)

This is 70.2 mins, or 1hr 10 mins

Hope this helps!

[tex](9x^{2} +9x-4)(9x^{2} +9x-10)-72[/tex]

Answers

Quadratic expressions are mathematical expressions that have the power of one of its alphabets being equal to and not more than two. The given expression in the question can be simplified as 81[tex]x^{4}[/tex] + 162[tex]x^{3}[/tex]  - 45[tex]x^{2}[/tex] - 54x - 112

Algebraic expressions are mathematical expressions that consist of given number(s) and alphabet(s). When the power (exponential) of one of the alphabets is given as two, then the expression can be classified as a quadratic expression.

Thus the given expansion of the quadratic expression can be simplified as follows:

([tex]9x^{2}[/tex] + 9x - 4)([tex]9x^{2}[/tex] + 9x - 10) - 72

But,

([tex]9x^{2}[/tex] + 9x - 4)([tex]9x^{2}[/tex] + 9x - 10) = [tex]9x^{2}[/tex]([tex]9x^{2}[/tex] + 9x - 10) + 9x([tex]9x^{2}[/tex] + 9x - 10) - 4([tex]9x^{2}[/tex] + 9x - 10)

               = 81[tex]x^{4}[/tex] + 81[tex]x^{3}[/tex] - 90[tex]x^{2}[/tex] + 81[tex]x^{3}[/tex] + 81 [tex]x^{2}[/tex] - 90x - 36 [tex]x^{2}[/tex] + 36x - 40

               = 81[tex]x^{4}[/tex] + 162[tex]x^{3}[/tex]  - 45[tex]x^{2}[/tex] - 54x - 40

So that we have;

(81[tex]x^{4}[/tex] + 162[tex]x^{3}[/tex]  - 45[tex]x^{2}[/tex] - 54x - 40) - 72  = 81[tex]x^{4}[/tex] + 162[tex]x^{3}[/tex]  - 45[tex]x^{2}[/tex] - 54x - 40 -72

                  = 81[tex]x^{4}[/tex] + 162[tex]x^{3}[/tex]  - 45[tex]x^{2}[/tex] - 54x - 112

Thus the simplification of the given expression is 81[tex]x^{4}[/tex] + 162[tex]x^{3}[/tex]  - 45[tex]x^{2}[/tex] - 54x - 112

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PLEASE HELP IM STUCK

Answers

Answer:

y = 7.25 + 0.65x

Step-by-step explanation:

y = total cost

x = each mile

it starts at 7.25

any mile after that is an extra $0.65

y = 7.25 + 0.65x

Calculate how long it would take for an investment of R9000 to double if the simple interest rate is 11% per annum.​

Answers

Answer:

9.09 years

Step-by-step explanation:

Use the simple interest formula

A=P(1+rt)

18000=9000(1+.11*t), solve for t

t = 9.0909

NEED HELP ASAP
Lucy pays $275 in advance on her account at the athletic club. Each time she uses the club, $5 is
deducted from the account. Write a linear function that gives the value remaining in her
account after x visits to the club. Find the value remaining in the account after 11 visits.

Answers

Answer:

Step-by-step explanation:

1. Which fraction is equivalent to 2/3.¸?
(A) 4
9
B
C
(D)
0100
24

Answers

Answer:

The answer options appear garbled.  If A is 4/9, then this is equal to 2/3.  The others I can't see/understand.

Step-by-step explanation:

The probability of winning on an arcade game is 0.568. If you play the arcade game 22 times, what is the probability of winning more than 15 times

Answers

The probability of winning 15 out of the 22 games is [tex]P = 0.099[/tex]

what is the probability of winning more than 15 times?

We know that the probability of winning on the arcade game is 0.568.

Then the probability of losing is:

P = 1 - 0.568 = 0.432

The probability of winning 15 out of 22 games is given by the equation:

[tex]P = C(22, 15)*(0.568)^{15}*(0.432)^{7}[/tex]

Where C(22, 15) is the number of combinations of 15 elements that we can make with a set of 22 elements, given by:

[tex]C(22, 15) = \frac{22!}{(22 - 15)!*15!} = \frac{22!}{7!*15!} = \frac{22*21*20*19*18*17*16}{7*6*5*4*3*2*1} = 170,544[/tex]

Then the probability is:

[tex]P = 170,544*(0.568)^{15}*(0.432)^7 = 0.099[/tex]

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Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.

x < 5
–6x – 5 < 10 – x
–6x + 15 < 10 – 5x
A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right.
A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.

Answers

The answer that you have is tricky but the answer is -5x

please help with this.

Answers

Answer:

R = $2,120

Ticket price = $11

Step-by-step explanation:

Finding revenue when t = 10 :

R = -6(10)² + 132(10) + 1440R = 1400 + 1320 - 600R = 2720 - 600[tex]\fbox {Revenue = 2,120 dollars}[/tex]

The vertex of the graph will have the maximum revenue.

Vertex = (h, k)h = -b/2ah = -132/2(-6)h = 132/12h = 11

Hence, the revenue is maximum when the ticket price is $11.

Zoe went out to her garden and cut 19 roses from the first rose bush, 28 roses from the second rose bush, 37 roses from the third rose bush, and 46 roses from the fourth rose bush. What kind of sequence is this?

Answers

Based on the given scenario, the kind of sequence explained is an arithmetic sequence

Sequence

First bush = 19 rosesSecond bush = 28 rosesThird bush = 37 rosesFourth bush = 46

First term, a = 19

Second term, a + d

28 = 19 + d

28 - 19 = d

9 = d

Common difference, d = 9

Third term, a + 2d

= 19 + 2(9)

= 19 + 18

= 37

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help me please im in a rush

Answers

Answer:

a.1

b. 17

Step-by-step explanation:

So the | | around an equation makes it an absolute value which can be defined as the "distance from zero" or in other words, if a value is positive, it stays positive, and if a value is negative, it becomes positive.

|-8 + 9| = |1| = 1

|-8| + 9 = 8 + 9 = 17

The function f(x) = 0.11(3)x is reflected over the x-axis to produce function g(x). Function g(x) is then reflected over the y-axis to produce function h(x). Which function represents h(x)?

h(x) = –0.11(3)x
h(x) = 0.11(3)–x
h(x) = 0.11(3)x
h(x) = –0.11(3)–x

Answers

Answer:

[tex]h(x)=-0.11(3)^{-x}[/tex]

Step-by-step explanation:

Given function:

[tex]f(x)=0.11(3)^x[/tex]

Reflection in the x-axis:

When reflecting a function in the x-axis, make the whole function negative:

[tex]\implies g(x)=-f(x)[/tex]

[tex]\implies g(x)=-0.11(3)^x[/tex]

Reflection in the y-axis:

When reflecting a function in the y-axis, make the x variable negative:

[tex]\implies h(x)=g(-x)[/tex]

[tex]\implies h(x)=-0.11(3)^{-x}[/tex]

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Answer:

the answer to this question is d

Step-by-step explanation:

h(x)=-0.11(3)^-x

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