Find the equation of a circle with a center at (1, 4) where a point on the circle is (4, 8). ( x - 1) 2 + ( y - 4) 2 = 25 ( x - 4) 2 + ( y - 1) 2 = 25 ( x - 1) 2 + ( y - 4) 2 = 5

Answers

Answer 1

Answer:

 (x-1)^4    +  (y-4)^2  = 25

Step-by-step explanation:

Center at 1,4 means the circle is of the form:

   (x-1)^4    +  (y-4)^2  = r^2

Find r^2 using distance formula from center to the given point

 r ^2 = ( 8-4)^2 + (4-1)^2

 r^2 = 16 +9 = 25

so you answer is      (x-4)^4    +  (y-8)^2  = 25


Related Questions

Which exponential equation is equivalent to this logarithmic equation? (2)

Answers

Answer:

A. e⁴=x

Step-by-step explanation:

Log x=4 ➡️ e⁴=x or x= e⁴

Hope it helps

Please help!!!!!!!
picture below

Answers

If the function is vertically stretched by a factor of 3, the resulting function will be g(x) = [tex]3(5^{x-2})[/tex]

Vertical stretch of a function

Given the parent function f(x) = x, if the function is vertically stretched by k units, the resulting function will be g(x) = kx

Given the parent function

f(x) = [tex]5^{x-2}[/tex]

If the function is vertically stretched by a factor of 3, the resulting function will be g(x) = [tex]3(5^{x-2})[/tex]

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Which expression can be used to find the area of the
composite figure?
O 4x
O 2x + 2x²
Ox2 + 2x
O 3x²

Answers

Answer:

3x²

Step-by-step explanation:

1 triangle is 1/2x²

2 triangles are x²

rectangle below is 2 squares

rectangle below is 2x²

x² + 2x² = 3x²

need help asap!!! ill give brainliest for right answer!

A rectangular pyramid has a height of 6 units and a volume of 40 units3. Shannon states that a rectangular prism with the same base area and height has a volume that is three times the size of the given rectangular pyramid. Which statement explains whether Shannon is correct?


A rectangular prism in which BA = 20 and h = 6 has a volume of 40 units3; therefore, Shannon is incorrect.

A rectangular prism in which BA = 6.67 and h = 6 has a volume of 40 units3; therefore, Shannon is incorrect.

A rectangular prism in which BA = 20 and h = 6 has a volume of 120 units3; therefore, Shannon is correct.

A rectangular prism in which BA = 6.67 and h = 6 has a volume of 120 units3; therefore, Shannon is correct.

Answers

Answer:

A rectangular prism in which BA = 20 and h = 6 has a volume of 120 units3; therefore, Shannon is correct

Got it right one the test! <3

Solve for x. The triangles are similar.

Answers

Answer:

[tex]\fbox {D. 10}[/tex]

Step-by-step explanation:

As the triangles are similar :

45/55 = (12x - 3)/143

9/11 = (12x - 3)/143

9 x 13 = 12x - 3

12x = 117 + 3

12x = 120

x = 10

Answer:

D. 10

Step-by-step explanation:

We can use similar triangles to solve this question. ΔRSE ≅ ΔFGE by SAS. We can set up this similarity equations: [tex]\frac{SE}{GE} = \frac{RE}{FE}[/tex] . Plugging in the numbers from the diagram, we get [tex]\frac{45}{12x-3} = \frac{55}{143}[/tex] . Using cross multiplication, we get the following equation:

[tex]45 * 143 = 55 *(12x-3)\\ 6435 = 660x - 165\\6600 = 660x\\x = 10[/tex]

Our final answer is D. 10

Question 20 The sports budget for cricket, football, and netball was divided in the ratio 5: 3:2, respectively. The total sports budget is $1.200,000. How much money will netball receive? A. B. C. D. + O A OB O C O D $120,000 $240,000 $360,000 $600,000 Question 20 The sports budget for cricket , football , and netball was divided in the ratio 5 : 3 : 2 , respectively . The total sports budget is $ 1.200,000 . How much money will netball receive ? A. B. C. D. + O A OB O C O D $ 120,000 $ 240,000 $ 360,000 $ 600,000​

Answers

Using proportions, it is found that the amount that netball will receive is of:

B. $240,000

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

Due to the ratios, the proportion of funding that is destined to netball is given by:

[tex]p = \frac{2}{5 + 3 + 2} = \frac{2}{10} = 0.2[/tex]

Hence, out of $1.200,000, the amount destined to netball is:

A = 0.2 x $1.200,000 = $240,000.

Which means that option B is correct.

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Please helpppp !!!!!

Answers

The answer is
2(pi)/3
Because 4(pi)-/5 minus 2(pi)-/5 is 2(pi)-/5
After that you cancel -/5 from the numerator and denominator to get 2(pi)/3

Answer:

The answer is A

Help me please I need this for tomorrow please please

Answers

Need a better picture if u post it again soon I’ll see it and I’ll tell u
Answer is question B make brainliest thanks

Find the probability of drawing a heart from the standard deck of cards and then drawing a 5 from any suit after the first card is replaced in the deck. Write as a fraction in simplest form.

Answers

The probability of drawing a heart from the standard deck of cards and then drawing a 5 is 1/52

How to determine the probability?

In a standard deck of cards, we have:

Total = 52

Heart = 13

5's = 4

Since the cards are replaced, the probability is calculated as:

P(Heart and 5) = Heart/Total * 5s/Total

This gives

P(Heart and 5) = 13/52* 4/52

Evaluate

P(Heart and 5) = 1/52

Hence, the probability of drawing a heart from the standard deck of cards and then drawing a 5 is 1/52

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8. What least number must be subtracted from 13601 to get a number exactly divisible by 87?

Answers

Answer:

29

Step-by-step explanation:

87×156+29=13601

First do 13601/87=156.3333...
156 × 87 = 13572
13601-13572=29
so, 87×156+29=13601

Answer:

29

Step-by-step explanation:

What least number must be subtracted from 13601 to get a number exactly divisible by 87?

13601 : 87 = 156 and remainder 29

so your answer is 29

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

check

(13601 - 29) : 87 =

13572 : 87 = 156

PLEASE HELP ASAP!!!!
What is the rectangular equivalence to the parametric equations?

x(θ)=3cosθ+2,y(θ)=2sinθ−1 , where 0≤θ<2π .

Drag a term into each box to correctly complete the rectangular equation.
____ + ________ = 1, where the x is on the interval _______

options:
(x-2)^2/9
(x+2)^2/9
(x-1)^2/4
(x+1)^2/4
(y-2)^2/9
(y+2)^2/9
(y-1)^2/4
(y+1)^2/4
[-3,3]
[-3,1]
[-2,2]
[-1,5]

Answers

The correct answer is option A [tex](\dfrac{x-2}{3})^2+(\dfrac{y+1}{2})^2=1[/tex] it will be an ellipse.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Let's consider the following trigonometric identity:

Sin²[tex]\theta[/tex] + Cos²[tex]\theta[/tex] = 1

Each trigonometric function is cleared respectively in given parametric equations:

[tex]Cos \theta = \dfrac{x-2}{3}[/tex] and  [tex]Sin\theta =\dfrac{y+1}{2}[/tex]

The equivalent expression in rectangular form is:

[tex](\dfrac{x-2}{3})^2+(\dfrac{y+1}{2}^)^2 = 1[/tex]

Therefore the correct answer is option A [tex](\dfrac{x-2}{3})^2+(\dfrac{y+1}{2})^2=1[/tex] it will be an ellipse.

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factoris fully 2ab² + 8a²b​

Answers

Answer:

2ab(b + 4a​)

Step-by-step explanation:

2ab² + 8a²b​

Factor Out the 2:

2(ab² + 4a²b​)

Factor Out the a:

2a(b² + 4ab​)

Factor Out the b:

2ab(b + 4a​)

Under her cell phone plan, Sarah pays a flat cost of $69 per month and $4 per gigabyte. She wants to keep her bill at $83.80 per month. Write and solve an equation that can be used to determine g, the number of gigabytes of data Sarah can use while staying within her budget.

Answers

Answer:

83.80 = 69 + 4x
x = 3.7
Sarah can use up to 3.7 gigabytes per month to stay within her budget

Step-by-step explanation:

83.80 = 69 + 4x
14.8 = 4x
x = 3.7

The number of gigabytes of data Sarah can use while staying within her budget is 3.7 gigabyte.

Given that, Sarah pays a flat cost of $69 per month and $4 per gigabyte.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the number of gigabyte be g.

69+4g=83.80

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Now, 4g=83.80-69

⇒ 4g=14.8

⇒ g=14.8/4

⇒ g=3.7 gigabyte

Therefore, the number of gigabytes of data Sarah can use while staying within her budget is 3.7 gigabyte.

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A car travels ¹/4 mile in ³ minutes, what 4 is its speed in terms of miles per minutes? A car travels ¹ / 4 mile in ³ minutes , what 4 is its speed in terms of miles per minutes ?​

Answers

Answer:

1/12  mile per minute

Step-by-step explanation:

1/4 mile in 3 minutes

 then miles per minute   is   1/4 mile / 3 min = 1/12  mile/min

Riley has 51/4 cups of chocolate chips, she needs ¾cup of chocolate chips to make one batch of cookies. how many batches of chocolate-chip cookies can Riley make

Answers

Answer:

17 batches

Step-by-step explanation:

51/4 ÷ 3/4 = 51/4 x 4/3

                =17

Which expression is a factor of this polynomial? x^3 + 2x^2 - 9x - 18

A (x+2)
B (x+1)
c (x-2)
d (x-6)

Answers

Answer:

(x+2)(x-3)(x+3) this is ans

Answer:

a. (x + 2)

Step-by-step explanation:

x^2(x + 2) - 9(x + 2)

(x + 2)(x^2 - 9)

(x + 2)(x - 3)(x + 3)

Therefore the answer is (x + 2)

it takes two painters 4 days to complete a job. How long does does 1 painter take for the same job?

Answers

It will take 8 days

Answer:

Eight days in total.

Step-by-step explanation:

If it takes two painters four days to paint, one person should take twice as long, because of not having help from another person to make the painting process quicker. So, the single person would take eight days to paint in the same job. (Hope this helps!)

Please can someone help me on this I’m trying to revise for my test and I don’t understand this question

Answers

Answer:

∠ EAB = 85°

Step-by-step explanation:

∠ EBC and ∠ BCD are same- side interior angles and sum to 180° , so

∠ BCD = 180° - ∠ EBC = 180° - 148° = 32°

the sum of the 3 angles in Δ ADC = 180° , that is

∠ EDC + ∠ BCD + ∠ EAB = 180°

63° + 32° + ∠ EAB = 180°

95° + ∠ EAB = 180° ( subtract 95° from both sides )

∠ EAB = 85°

Answer:

first of all the line EAB is a triangle and all the angles in a triangle equate to 180° therefore;

[tex]angle \: ebc = 148 \\ angle \: edc = 63 \\ 148 + 63 = 180[/tex]

next I subtract 148 from 63 which gives 85⁰ therefore eab is equals 85⁰

What's your annual income if you're unemployed?

Answers

Answer:

$46,819 is the average unemployed salary

If a data set has many extremely small data values, than the median will be

Answers

Answer:

If a data set has many extremely small data values, than the median will be the same.

What is the median?

The middle number in a given sequence of number, taken as the average of the two middle numbers when the sequence has an even number of numbers.

The median is resistant to change no matter extremely small or large values.

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Tamara wants to know how likely her bus is to be late.
She records the data over a month and finds it was late on
7 out of 25 times that she went to catch it.
Estimate the probability of the bus being late on any given day.

If she goes for the bus 20 times in the next month,
how often would she expect the bus to be late?

Answers

Step-by-step explanation:

if7=25

therefore??=20

Cross multiply

7 multiply 20 and then divide by 25

=28/5

5.6

round off it will be 6

hope it helps

Solve the equation 7(w +13) = 35.
) What is the value of w?

Answers

Answer: -8

Step-by-step explanation:

7(w+13)=35 [given]w+13=5 [divide both sides by 7]w = -8 [subtract 13 from both sides]

Answer:

7(w+13)=35

7w + 91 =35

7w=35-91

7w= -56

7w/7 = -56/7

w=-8

I WILL GIVE BRAINIEST
The measure of angle N is (3x + 18) degrees . The measure of angle B is (2x + 142) degrees. If angle N is the supplement of angle B, what is the measure of the two angles?

Answers

Answer:

N: 30 B:150

Step-by-step explanation:

Supplementary angles add up to 180 meaning their equations must also add up to 180:

(3x + 18) + (2x + 142) = 180

Solve for x:

5x + 160 = 180

5x = 20

x = 4

Substitute 4 in all values of x to obtain the measure of the two angles:

N: 3(4) + 18 = 30

B: 2(4) + 142 = 150

What is the measure of the apothem, rounded to the nearest hundredth of a centimeter?

Answers

The measure of apothem is 1.75 cm.

The complete question is

The area of the regular octagon is 10.15 cm2.

What is the measure of the apothem, rounded to the nearest hundredth of a centimeter?

What is an Octagon ?

A polygon with eight sides , eight angles and eight vertices is called an octagon.

If a is the Side of the octagon.

10.15 = 2(1+√2) a²

a² = 10.15 / [2×(1+1.414)]

a² = 2.10

a = 1.45 cm

Therefore the side = 1.45 cm

A = 8 × (a × h)/2

If we consider  8 equilateral triangles with

a = face of octagon

h = Apothem of octagon

10.15 = 8 × (1.45 × h)/2

h = 10.15 /4/ 1.45

h = 1.75  cm

Therefore the measure of apothem is 1.75 cm.

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What is the answer for 4x+1/3=20?

Answers

Answer:

x = 59/12

Step-by-step explanation:

4x + 1/3 = 20

4x = 20 - 1/3

12x/3 = 60/3 - 1/3

12x = 60 - 1

12x = 59

x = 59/12

Check:

4*59/12 + 1/3 = 20

236/12 + 4/12 = 20

240/12 = 20

Answer: x = 59/12

Step-by-Step Solution:

4x + 1/3 = 20
(4 * 3)x/3 + 1/3 = 20
12x/3 + 1/3 = 20
12x + 1 = 20 * 3
12x + 1 = 60
12x = 60 - 1
12x = 59
=> x = 59/12

Therefore, x = 59/12

I want to know the answer quick

Answers

Answer:

[tex]\fbox {B. Exponential Decay}[/tex]

Step-by-step explanation:

As the exponent is applied to a number less than 1, the future values of the function f(x) will become smaller and smaller. Hence, it represents exponential decay.

Please Help!
The manager of a home electronics store is considering re-pricing a new model of digital camera. At the current price of $680, the store sells about 70 cameras each month. Sales data from other stores indicate that for each $20 decrease in price, about 5 more cameras would be sold. The table shows some x and y values; where x is the number of price decreases and y is the revenue.

a) How many price decreases should the manager apply?
b) What price produces the maximum revenue?
c) What is the maximum revenue?

Answers

The reduction in price that will be applied is $200.

How to calculate price?

From the given information, the price function will be:

P - 680/(680 - 660) = (Q - 70)/(70 - 75)

P = -4Q + 960

Revenue will be:

= Price × Quantity

= (-4Q + 960)Q

= 4Q² + 960Q

Differentiating this will be Q = 120

Price will be:

= (-4 × 120) + 960

= 480

The reduced price will be:

= 680 - 480

= 200

The maximum revenue will be:

= 480 × 120

= 57600

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Select the correct answer from each drop-down menu.
Determine the best measure of center and the skew of the data distribution.
(23, 29, 12, 14, 27, 23, 23, 18, 23, 1, 7, 18, 43, 24, 28, 17, 32, 33, 38)

Answers

The central tendency of the given data will be 22.79.

What is mean?

Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data.

There are 3 ways in which we can express the centre of the data given: (1) mean or average, (2) mode, (3) median

For the mean, we sum up all the given and divide them by the number of data

mean = 433 / 19 = 22.79

For the mode, we just determine which among the given data appears more frequently and in this given that is 23.

For the median, we arrange the numbers from highest to lowest and determine which number will appear in the centre. Since there are 19 data, we need to find which among them will appear to be the 10th. That is also 23.

So, the value that would best describe the central tendency is 23. Since the values to the left of 23 are more scattered than those to its right, the distribution exhibits negative.

Therefore central tendency of the given data will be 22.79.

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Rewrite the rational exponent as a radical exponent ^{^3\sqrt{2^7}}

Answers

Answer:

4 ^3sqrt(2)

Step-by-step explanation:

two 2's can come out of the square root and it leaves one left in it and 2x2 is 4 which is on the outside.

Answer: 4^3sqrt(2)
Explanation: have to do step by step

simplify the following polynomial expression. (5^4-9^3+7x-1)+(-8^4x^2-3x+2)-(-4x^3+5x-1)(2x-7)

Answers

The simplified expression is 5[tex]x^{4}[/tex] -37 x³ - 6x² +41x -6.

What is expression?

An expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.)

Given:

(5[tex]x^{4}[/tex] - 9x³ + 7x -1) + ( -8[tex]x^{4}[/tex]+ 4x² - 3x + 2) - ( -4x³ + 5x -1) (2x - 7)

Now,

5[tex]x^{4}[/tex] - 9x³ + 7x -1 -8[tex]x^{4}[/tex]+ 4x² - 3x + 2 - ( -4x³ + 5x -1) (2x - 7)

=5[tex]x^{4}[/tex] - 9x³ + 7x -1 -8[tex]x^{4}[/tex]+ 4x² - 3x + 2-(-8[tex]x^{4}[/tex]+28x³ +10x² - 35x -2x +7

= 5[tex]x^{4}[/tex] - 9x³ + 7x -1 -8[tex]x^{4}[/tex]+ 4x² - 3x + 2 +8[tex]x^{4}[/tex]- 28x³  - 10x² + 35x + 2x - 7

=  5[tex]x^{4}[/tex] -37 x³ - 6x² +41x -6

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The function f(x) = x2 4x + 5 is shown on the graph. On a coordinate plane, a parabola opens down. It goes through (negative 5, 0), has a vertex at (negative 2, 9), and goes through (1, 0). Which statement about the function is true? The domain of the function is all real numbers less than or equal to 2. The domain of the function is all real numbers less than or equal to 9. The range of the function is all real numbers less than or equal to 2. The range of the function is all real numbers less than or equal to 9. Which angle refers to the same angle as \angle DACDACangle, D, A, C? Simplify the expression 3(x 3)2 3 3x. what is the simplified expression in standard form? giving 20 points out for this question! How tall is the tree?5ft35-20ft-[? ]ft Why did civil rights become even more important to blacks following World War II?Separate but equal schools worked well in some places, but not in others.Jim Crow laws still prevented blacks from full participation in American life, despite service during the war.They saw sophisticated, affluent black families on TV and wanted that life for themselves.Blacks were receiving equal pay for their work so they wanted equality in other areas too. Which of these sounds is in the word "advice?long eshort elong ishort i What is the value of x in the figure below? In this diagram, ABD ~ CAD. Acceptance testing: tests each program separately in the system. tests the functioning of the system as a whole. provides the final certification that the system is ready to be used in a production setting. tests the conversion of legacy data to the new system. includes all the preparations for the series of tests to be performed on the system. What is the answer for the question down below 1.9^4 10 2.9 x 10^1 what is in a percentage form what does the autonomic nervous system do ? A shop increases all their prices by 6%A picture frame increases by 294Find the new price of the picture frame. 4. In 1850, the slavery debate was settled in Congress by.A a debateB President TaylorC the Compromise of 1850D the Supreme Court Which function is the result of vertically stretching f(x) = x ^ 2 - 7 by a factor of 2 and translating downward 5 units? why university should offer you a place? How effectively do the techniques used communicate the creator's position Rewrite exponential expressionsThis is from Khan academy I have to attach a PNG if you can help me solve it! Thank you! In the context of brand extensions, stretchability of a brand depends on: a. preventing the transfer of meaning from the new branded product to the original brand schema. b. consumers' ability to process relationships between the parent brand and associated products. c. consumers' rejection of the fit between the parent brand and other products on which it appears. d. finding consumers with the same degree of liking for a parent brand. e. the usage differences between parent brand and associated products.