Question 3 of 10
The circle below is centered at the point (4, 3) and has a radius of length 5.
What is its equation?
D. (x-4)2 + (y-3)2 = 52
10
OA. (x-3)2 + (y - 3)² =
52
OB. (x+4)2 + (y - 3)² =
25
O C. (x-4)2 + (y + 3)² =
52

Question 3 Of 10The Circle Below Is Centered At The Point (4, 3) And Has A Radius Of Length 5.What Is

Answers

Answer 1

Answer:

D.

[tex](x - 4) {}^{2} + (y - 3) {}^{2} = 5 {}^{2} [/tex]

Answer 2

The equation of the circle centered at point (4, 3) with a radius of length 5 is (x - 4)² + (y - 3)² = 5².

What is the equation of the circle with the given parameters?

The standard form equation of a circle with center (h, k) and radius r is:

( x - h )² + ( y - k )² = r²

Given that circle has a center at point (4, 3 ).

Hence:

h = 4

and k = 3

Also given that, the radius has a length of 5

r = 5

Plug these values into the above formula and simplify the equation:

( x - h )² + ( y - k )² = r²

( x - 4 )² + ( y - 3 )² = 5²

Expanding and simplifying, we get:

(x - 4)² + (y - 3)² = 25.

Therefore, the equation of the circle is (x - 4)² + (y - 3)² = 5².

Option D)  (x - 4)² + (y - 3)² = 5² is the correct answer.

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Related Questions

The lines represented by the equations 5y + 2x = –25 and y= -5/2x – 1 are?

Answers

Answer the same

the same line

Step-by-step explanation:

List the place value for the digits in the number:
201,589,345
A. Tens
What is the place value of the 9?
What is the place value of the 2?
What is the place value of the 8?
What is the place value of the 4?
B. Ten-thousands
C. Thousands
D. Ten-million
What is the place value of the 0?
E. Hundred-million

Answers

Answer:

C

E

B

A

D

Step-by-step explanation:

That's just how numbers work

Answer:

Place value digits -

1.  

2 hundred millions + 0 ten millions + 1 million + 5 hundred thousands, + 8 ten thousands + 9 thousands + 3 hundreds + 4 tens + 5 ones.

2.

What is the place value of the 9? - thousands

What is the place value of the 2? hundred millions

What is the place value of the 8? ten thousands

What is the place value of the 4? tens

What is the place value of the 0? ten thousands

Step-by-step explanation:

Hope it helped!

You have found the following ages in years of all 5 gorillas at your local zoo: 8,4,14,16,8 what is average age of the gorillas at your zooo? What is variance

Answers

Answer: 10 years old

Standard deviation 4.9

Step-by-step explanation:

Khan academy

Using statistical concepts, it is found that:

The average age of gorillas in the zoo is of 10 years.The variance is of 4.38 years squared.

The mean of a data-set is given by the sum of all observations divided by the number of observations.The variance of a data-set is given by the sum of the differences squared between each observation and the mean, divided by the number of values.

In this problem, the data-set is: 8, 4, 14, 16, 8.

The mean is:

[tex]M = \frac{8 + 4 + 14 + 16 + 8}{5} = 10[/tex]

Thus, the average age of gorillas in the zoo is of 10 years.

The variance is:

[tex]V = \frac{(8 - 10)^2 + (4 - 10)^2 + (14 - 10)^2 + (16 - 10)^2 + (8 - 10)^2}{5} = 4.38[/tex]

The variance is of 4.38 years squared.

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Shelby could run 2 miles. Now she can run 3.5 miles. What is the percent gain in the distance she can run

Answers

Answer:

150% hope I'm

correct and sorry if I'm not but it should be 150%

Step-by-step explanation:

Answer:

75%

Step-by-step explanation:

2 x 1.75 = 3.5

6 - 9x = 7x - 10x +18 what is the value of x

Answers

The value of X would be -2

Answer:

x = -2

Step-by-step explanation:

Step 1: Write equation

6 - 9x = 7x - 10x + 18

Step 2: Solve for x

Combine like terms: 6 - 9x = -3x + 18Add 9x to both sides: 6 = 6x + 18Subtract 18 on both sides: -12 = 6xDivide both sides by 6: -2 = xRewrite: x = -2

Step 3: Check

Plug in x to verify it's a solution.

6 - 9(-2) = 7(-2) - 10(-2) + 18

6 + 18 = -14 + 20 + 18

24 = 6 + 18

24 = 24

find the value of x if h(x) = -25 in the function h(X) = 1/5x + 10

Answers

Answer:

x = -175

Step-by-step explanation:

Step 1: Define

h(x) = -25

h(x) = 1/5x + 10

Step 2: Substitute and Evaluate

-25 = 1/5x + 10

-35 = 1/5x

x = -175

I think the answer is x=-175

A
-pound bag of Kitty Kibbles is
. An
-pound bag of Feline Flavor is
. Which statement about the unit prices is true?

Feline Flavor has a higher unit price of
/pound.

Kitty Kibbles has a higher unit price of
/pound.

Kitty Kibbles has a higher unit price of
/pound.

Feline Flavor has a higher unit price of
/pound.

Answers

The statement about the unit prices which is true is Kitty Kibbles has a lower unit price of $1.30/pound.

The correct answer choice is option D.

How to solve unit prices?

Cost of 16-pound bag of Kitty Kibbles = $20.80

Unit price of kitty kibbles = Price / number of pounds

= $20.80 / 16

= $1.30 per pound.

Cost of 8-pound bag of Feline flavor = $11.20

Unit price of feline flavor = Price / number of pounds

= $11.20 / 8

= $1.40 per pound

Ultimately, the unit price of kitty kibbles and feline flavor is $1.30 and $1.40 respectively.

Complete question:

A 16-pound bag of Kitty Kibbles is $20.80. An 8-pound bag of Feline Flavor is $11.20. Which statement about the unit prices is true?

A. Feline Flavor has a lower unit price of $1.40/pound.

B. Feline Flavor has a lower unit price of $1.30/pound.

C. Kitty Kibbles has a lower unit price of $1.40/pound.

D. Kitty Kibbles has a lower unit price of $1.30/pound.

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If 3x = 21, find the value of 23 - 4x.
a. -5
b. 5
c. 2
d. -2
Please help!!

Answers

Answer:

A

Step-by-step explanation:

Plz answer me will mark as brainliest plz give it answer in a copy with explanation ​

Answers

Answer:

.I have no explanation
I have no idea unfortunately sorry

ccording to the fundamental theorem of algebra, how many solutions does this polynomial have? y= 3x(x -4) A. 1 B. 2 C. 3 D. 4

Answers

Answer:

B. 2

Step-by-step explanation:

I just took the test and got a 100.

According to the fundamental theorem of algebra the polynomial

y = 3x (x - 4) has 2 solutions.

Option B is true.

What is Fundamental theorem of algebra?

Fundamental theorem state that every polynomial of degree n with complex number coefficient have n roots or solution in the complex number.

Given that;

The polynomial is,

⇒ y = 3x (x - 4)

Now,

The polynomial is written as;

y = 3x (x - 4)

y = 3x² - 12x

Clearly, The polynomial has degree 2.

So, By the fundamental theorem of algebra,

The polynomial has 2 solutions that is coincide with the degree of polynomial.

Thus, According to the fundamental theorem of algebra the polynomial

y = 3x (x - 4) has 2 solutions.

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The length of a rectangle is 11 centimeters less than five times its width. Its area is 12 square centimeters. Find the dimensions of the rectangle.

Answers

Answer:

Lenth=15, width=4/5

Step-by-step explanation:

SO first we wanna make a equation about ths

The length of a rectangle is 11 centimeters less than five times its width.

L = lenth

W= width

L=5w+11

so w(5w+11)

and you wanna solve it

skip cuz   im bad

w = 4/5 or w = -3

-3 is not possible so w = 4/5

L=15

check:

15*4/5=12

The dimensions of the rectangle are:

Length = 4 cm

Width = 3 cm

To solve this problem, we will represent each of the given dimensions using algebraic expressions as follows:

Let:

Width of the rectangle = w cm

Length of the rectangle = [tex](5w - 11)[/tex] cm

Area of the rectangle = 12 sq cm

Formula for area of a rectangle = length [tex]\times[/tex] width

Therefore:

[tex](5w - 11) \times w = 12\\5w^2 - 11w = 12\\5w^2 - 11w - 12 = 0[/tex]

Factorize:

[tex]5w^2 + 4w - 15w - 12 = 0\\w(5w + 4) -3(5w + 4) = 0\\(w - 3)(5w + 4)\\(w - 3) = 0\\w = 3[/tex]

or

[tex]5w + 4 = 0\\5w = -4\\w = -\frac{4}{5}[/tex]

Width of the rectangle cannot be a negative number, so we would go with:

[tex]w = 3[/tex] cm

The width of the rectangle is therefore 3 cm

Find the length by plugging in the value of w into [tex]5w - 11[/tex]

Length of the rectangle = [tex]5(3) - 11[/tex]

= [tex]15 - 11\\[/tex]

= 4

Length of the rectangle is 4 cm

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help me with this pls I dont wanna fail again​

Answers

Answer:

13 is b^2 is thats what ur asking

Step-by-step explanation:

its because when you move it back up you switch the sign

hope this helps<3

also pls mark branliest

You are given that a wheel has a radius of 2 feet and a spin rate of 10 revolutions per minute. Describe how you would determine the linear velocity, in feet per minute, of a point on the edge of the wheel. State the linear velocity of the wheel, and explain why your answer is reasonable.

Answers

Answer:

About 126 ft/min

Step-by-step explanation:

We know r = 2 feet, and that the wheel has an angular speed of 10 rpms, or 10 revolutions per minute. Our goal is to get the speed in ft/sec.

10 rev            1 minute             2π radians            2 feet

-----------  ×    ----------------   ×    ------------------    ×   ------------

1 minute       60 seconds         1 revolution           1 radian

= 10 * 2π * 2 = 126 ft/minute

The answer is reasonable. Another, simple approach to this would be using the formula 2π * r * rpm. If so, 2π * 2 * 10 which would be 126 ft/minute.

Answer:

Sample Response: I am asked to find linear velocity and am given revolutions per minute. Since there are 2pi radians in 1 revolution, I can convert rpm to radians per minute by multiplying by 2pi. The angular displacement is 20pi radians, so the angular velocity is 20pi radians per minute. Next, I know that linear velocity is equal to angular velocity times the radius. Using 3.14 for pi and multiplying 20pi by 2 feet, I approximate the linear velocity as 125.6 feet per minute. This linear velocity of 125.6 divided by the radius of 2 feet does give me 62.8 radians per minute. Since 62.8 radians per minute is about 20pi radians per minute, this checks. Linear velocity is arc length over time. I can see if this result is reasonable by finding the arc length. The circumference of the wheel is 4pi or about 12.5 feet. If a point on the edge of the wheel can travel about 12.5 feet in 1 revolution, then it travels about 125 feet in 10 revolutions. It is reasonable for the linear velocity to be about 125.6 feet per minute.

Step-by-step explanation:

PLS GO FAST I AM GIVING BRAINLIEST
What is 1.048576e-14 worth

Answers

Answer:

The metric prefixes value 1.048576E-14 E (exa) in words is "one point zero four eight five seven six one four E (exa)".

Step-by-step explanation:

-5 ^ -20 = 1.048576E - 14

negative five to the power of negative twenty equals one  decimal point zero four eight five seven sixE subtract fourteen.

1) Calculate the distance BD* A C E 4cm - 7cm В 6cm D​

Answers

Answer:

BD = 3.5 cm

Step-by-step explanation:

Δ AED and Δ ACB are similar ( AA postulate) , then the ratios of corresponding sides are in proportion, that is

[tex]\frac{AD}{AB}[/tex] = [tex]\frac{ED}{CB}[/tex] ( substitute values )

[tex]\frac{AD}{7}[/tex] = [tex]\frac{6}{4}[/tex] = [tex]\frac{3}{2}[/tex] ( cross- multiply )

2AD = 7 × 3 = 21 ( divide both sides by 2 )

AD = 10.5 cm

Then

BD = AD - AB =  10.5 - 7 = 3.5 cm

an instructional video is 7.8 minutes ling how ling is the video in ? how long is it in hours?

Answers

Answer:

0.13 hours

468 seconds

Step-by-step explanation:

7.8 min= 7.8/60= 0.13 hours

7.8 min= 7.8x60= 468 seconds

Find the minimum or maximum value of f(x)= -.25x^2+4x-18

Answers

Answer:

=0.5+4

Step-by-step explanation:

hopefully im right:) have a nice day!

A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the time read exactly 3:40 p.m. At this time, he started pumping gas into the tank. At exactly 3:44, the tank was full and he noticed that he had pumped 17.5 gallons.

What is the average rate of flow of the gasoline into the gas tank?

Answers

Answer:

2.675

Step-by-step explanation:

The quotient of c and −19 is 38.

Answers

Do you need to find out what c is equal to?

If the quotient of c and −19 is 38 then the value of c is -722.

What is division?

A division is a process of splitting a specific amount into equal parts. 

We have,

The quotient of c and −19 is 38.

This means that if we divide c by -19 the quotient is 38.

Quotient = 38

Divisor = -19

Dividend = c

The remainder is not given so we assume it to be zero.

Remainder = 0

We have a formula for the division of two numbers.

Dividend ÷ Divisor = Quotient + Remainder

c ÷ -19 = 38 + 0

c/-19 = 38

c = 38 x -19

c = -722

Thus,

If the quotient of c and −19 is 38 then the value of c is -722.

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BRAINLIEST ASAP
Find the real numbers x and y that make the equation true.
-4 + yi = x + 3i

Answers

Answer:

x= -4

y= 3

Step-by-step explanation:

I hope this helps

Answer:

Step-by-step explanation:

carlos can write 3 to 4 pages in his journal in 2/3 hour. if he writes for 5 hours, what's a reasonable number of pages he can write in that time?

Answers

Answer:

23, 24, 25, 26, 27, 28, 29, or 30

22.5 ≤ p ≤ 30

Step-by-step explanation:

So we know that in 2/3 hours, Carlos can write 3 to 4 pages.

First, lets find how many 2/3's are in 5. Lets divide 5 by 2/3.

[tex]\frac{5}{\frac{2}{3}}=7.5[/tex]

So there are 7.5 2/3's in 5.

Now, lets assume Carlos writes 4 pages per 2/3 hours consistently throughout that 5 hours. This would yield the maximum amount of pages Carlos can write in 5 hours.

7.5(4) = 30

So the maximum amount of pages Carlos can write in 5 hours is 30.

Now, lets assume Carlos writes 3 pages per 2/3 hours consistently throughout that 5 hours. This would yield the minimum amount of pages Carlos can write in 5 hours.

7.5(3) = 22.5

So the minimum amount of pages Carlos can write in 5 hours is 22.5.

Now we can write the information that we found as an inequality. Lets make p equal to the pages that Carlos can write in 5 hours.

22.5 ≤ p ≤ 30

Any value greater than to equal to 22.5 and less than or equal to 30 would be reasonable.

I hope you find my answer and explanation to be helpful. Happy studying.

The value of cos 0°. cos 1°. cos 2°. cos 3°… cos 89° cos 90° is

Answers

Answer:

between -1 to 1

Step-by-step explanation:

range of sine and cose function is always between 1 and -1

the ans would be 1.

A 3-quart carton of fruit punch costs $2.64. What is the price per cup?

Answers

It costs 22 cents per cup

A company will need $45,000 in eight years for a new addition. To meet the school, the company deposit money in an account today that pays 5% annual interest compounded quarterly. Find the amount that should be invested to total 45,000 in eight years.

Answers

Answer:

$28,125

Step-by-step explanation:

28,125 x 0.05 = 1406.25 x 4 = 5625 x 8 = 45000

please solve all i will mark brainliest and 15 points.​

Answers

Answer:

Hope that will help you get

Help with this question not sure why it’s confusing me

Answers

Answer:

see below

Step-by-step explanation:

We have two points, so we can use the slope formula

m = ( y2-y1)/(x2-x1)

    = ( -6- -6)/( 6-3)

     = ( -6+6)/( 6-3)

    = 0/3

  = 0

The slope is zero

This means that it is a horizontal line  ( the y value does not change)

Answer:

slope is 0, line is horizontal

Step-by-step explanation:

First we will have to find the slope

Slope is equal to: y2-y1/x2-x1 (rise/run)

So let's label the points

(3,-6), (6, -6)

x1=3

y1=-6

x2=6

y=-6

now plug those into the equation

-6-(-6)/6-3= 0/3=0

since the slope is equal to 0, that means the line is horizontal

If you're confused, maybe the included attachment might help.

Hope this helps!

Identify the set of x-values for which the graph of the piecewise-defined function is constant.

Answers

Answer:

d

Step-by-step explanation:

{x|x<-4}

The given graph is constant for the interval (-∞,-4).

What is a graph?

A graph is a diametrical representation of any function between the dependent and independent variables.

The graph is easy to understand behavior of the graph.

For example y = x² form a parabola now by looking at only the graph we can predict that it has only a positive value irrespective of the interval of x.

Given the graph,

The value of y in the coordinate plane represents the value of the graph so to be constant the value of y must be constant.

Since the line is coming from negative infinite is horizontal till x = -4.

Hence "The given graph is constant for the interval (-∞,-4)".

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Dean was flying his drone at an elevation of 307 feet. A strong
gust of wind then caused it to drop 59 feet.
What is the elevation of the drone now?

Answers

Answer:

248ft

Step-by-step explanation:

just subtract where he was and how much he dropped

Tyler can swim 5 laps of the school pool in 3 minutes. Jose can swim 6 laps in 4 minutes. And Kevin can swim 4 laps in 2 minutes. If each person swims at a constant rate, who is the fastest swimmer?

help ;_;

Answers

Answer:

The fastest swimmer is kevin

Step-by-step explanation:

divide how many laps by the minute and the answer is how many laps they swim in 1 minute.

tyler swims 1.6 laps every minute

jose swims 1.5 laps every minute

kevin swims 2 laps every minute

Plz answer me will mark as brainliest ​

Answers

The correct answer is B I’m pretty sure

[tex]\large\boxed{\fcolorbox{red}{aqua}{Answer:57}}[/tex]

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Finished Goods Inventory on December 31. .How many moles of tungsten atoms are in 4.8 X 10^25 atoms of tungsten?a. 8.0 10 moles c. 1.3 10 molesb. 8.0 10 moles d. 1.3 10 moles Which business is required to complete Schedule L and M-! to report balance sheet information on its return?East County Property Rentals, a partnership with $225.000 gross receiptsFranky's flowers, a sole proprietorship with $275,000 gross receiptsSurreal Plastics, inc, S Corp with $215,000 gross receiptsExecutive Solutions, inc, C corp with $245,000 gross receipts Which of the following statements is not true bout the Efficient Market Hypothesis EMH)? 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