find the center and the radius of the circle (x-7)^2+(y+4)^2=81

Answers

Answer 1

A circle is a curve sketched out by a point moving in a plane. For the given equation of a circle, the centre will lie at the coordinate (7,-4), while the radius will be equal to 9 units.

What is the equation of the circle with radius r units, centred at (x,y)?

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.

If a circle O has a radius of r units length and it has got its centre positioned at (h, k) point of the coordinate plane, then, its equation is given as:

(x-h)² + (y-k)² = r²

Given the equation of the circle is (x-7)²+(y+4)²=81. The equation can be  rewritten as,

(x-7)² + [y-(-4)]² = 9²

Hence, For the given equation of a circle, the centre will lie at the coordinate (7,-4), while the radius will be equal to 9 units.

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Related Questions

T.O. has a theory that as you get older you start to slow down and therefore that will cause you to have lower self-esteem.

Answers

Answer:

The winter evening settles down

With smell of steaks in passageways.

Six o'clock.

The burnt-out ends of smoky days.

And now a gusty shower wraps

The grimy scraps

Of withered leaves about your feet

And newspapers from vacant lots;

The showers beat

On broken blinds and chimney-pots,

And at the corner of the street

A lonely cab-horse steams and stamps.

And then the lighting of the lamps.

Alfred Tennyson - Summer Night

Alfred Tennyson was another poet who made great use of visual imagery. See if you can get a clear picture of the summer night he describes in this poem "Summer Night:"

Now sleeps the crimson petal, now the white;

Nor waves the cypress in the palace walk;

Nor winks the gold fin in the porphyry font:

The firefly wakens: waken thou with me.

Now droops the milk-white peacock like a ghost,

And like a ghost she glimmers on to me.

Now lies the Earth all Danaë to the stars,

And all thy heart lies open unto me.

Now slides the silent meteor on, and leaves

A shining furrow, as thy thoughts in me.

Now folds the lily all her sweetness up,

And slips into the bosom of the lake.

So fold thyself, my dearest, thou, and slip

Into my bosom and be lost in me.

William Wordsworth - I Wandered Lonely as a Cloud

Next is an excerpt from "I Wandered Lonely as a Cloud" by William Wordsworth. The first and last stanzas show a progression of the poet's emotions using visual imagery.

I wandered lonely as a cloud

That floats on high o'er vales and hills,

When all at once I saw a crowd,

A host, of golden daffodils;

Beside the lake, beneath the trees,

Fluttering and dancing in the breeze.

For oft, when on my couch I lie

In vacant or in pensive mood,

They flash upon that inward eye

Which is the bliss of solitude;

And then my heart with pleasure fills,

And dances with the daffodils.

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Theodore Rothke - My Papa’s Waltz

This famous poem by Theodore Rothke is an excellent example of olfactory and tactile imagery with plenty of visual imagery thrown in for good measure. The effect is powerful.

The whiskey on your breath

Could make a small boy dizzy;

But I hung on like death:

Such waltzing was not easy.

We romped until the pans

Slid from the kitchen shelf;

My mother’s countenance

Could not unfrown itself.

The hand that held my wrist

Was battered on one knuckle;

At every step you missed

My right ear scraped a buckle.

You beat time on my head

With a palm caked hard by dirt,

Then waltzed me off to bed

Still clinging to your shirt.

William Carlos Williams - This Is Just to Say

"This Is Just to Say" is an amazing example of gustatory imagery or imagery involving taste. There’s more going on beneath the surface of this poem, but the vivid description of taste draws the reader in.

I have eaten

the plums

that were in

the icebox

and which

you were probably

saving

for breakfast

Forgive me

they were delicious

so sweet

and so cold

Step-by-step explanation:

Juan went to the store to buy a plant for his mother, but forgot to ask which kind to get. Out of 30 plants, nine of them are a kind that his mother would want. If Juan chooses one randomly, what is the probability that he will choose a kind that his mother would want?

A. 40%
B. 30%
C. 0.3%
D. 9%

Answers

Answer:

B

Step-by-step explanation:

because 30% out of 30 is 9

Mrs Rohit gave a total of $64.90 to her three sons. The eldest son receive $4.30 more than the youngest son. The second son received $7.80 less than the youngest son. How much did the eldest son received?

NO ALGEBRA PLEASE! I HAVENT LEARN IT YET!

Answers

he earned $12.10 from Mrs Rohit

Answer: $25.90

Step-by-step explanation:

We will have x as the youngest son's share, (the youngests son's share is the basis)

(x + 4.30) as the eldest son's share, (the eldest received 4.30 more than the youngest)

(x - 7.80) as the second son's share, (the second received 7.80 less than the youngest)

and 64.90 as their share altogether.

To find the youngest son's share:

(x) + (x + 4.30) + (x - 7.80) = 64.90

x + x + 4.30 + x - 7.80 = 64.90

x + x + x = 64.90 - 4.30 + 7.80 (group all of the like terms together. variables with variables, numbers with numbers. 4.30 became negative since it was moved to the other side, the same happened with 7.80 since it was a negative, it became a positive when it moved to another side)

Solve...

x + x + x = 64.90 - 4.30 + 7.80

3x = 68.40 (divide both sides by 3)

[tex]\frac{3x}{3} = \frac{68.40}{3}[/tex]  

x = 22.80

(The youngest son's share is $22.80)

To get the eldest son's share:

x + 4.30 (substitute x since it has already been solved)

22.80 + 4.30 = 27.10

The eldest son's share is $27.10

If a figure has a line of symmetry, that means what?
The two sides of the shape are similar.
O The two sides are different shapes.
Both sides are exactly the same.
The two sides are different sizes.

Answers

Both sides are exactly the same.

Answer:

both sides are the same

Step-by-step explanation:

Solve the system by substitution.
y= -6x-7
y= -7x

Answers

Answer:

 x = 7

 y = -49

Step-by-step explanation:

Solving system of equation by substitution method.

           y = -6x - 7 ---------------(I)

           y = -7x -------------------(II)

Substitute y = -7x  in equation (I)

          -7x = -6x  - 7

   -7x + 6x = -7

            -x   = -7    

Multiply both sides by (-1)

           [tex]\sf \boxed{\bf x = 7}[/tex]

Substitute x =7 in equation (II)

       y = -7*7

       [tex]\sf \boxed{\bf y = -49}[/tex]

Answer:

X = 7 Y = -49

Step-by-step explanation:

Y= -6 X -7---------(1)

Y= -7 X ------------(2)

using substitution method, substitute equation two into equation one

-7 X = -6X -7

-7 X+6X = -7

- X = -7

cancelling the - sign on bothsides

X = 7

put X = 7 into equation (2)

Y = -7(7)

Y = -49

therefore, X = 7 Y= -49


How many solutions are there to the equation below?
4(x - 5) = 3x + 7
Ο Α. Ο
O B. Infinitely many
O c. 1

Answers

Answer : c
Explanation:
4(x-5)=3x+7
4x-20=3x+7
4x-3x=7+20
x=27

f(x)=3x=2 what is f(5)?

Answers

Answer:

F(x) = 3x × 2

F(5) = 3(5) × 2

F(5) = ( 3 × 5 ) × 2

F(5) = 15 × 2

F(5) = 30

Step-by-step explanation:

F(x) = 3x x 2

F(5)= 3(5) × 2

F(5) = 15 × 2

F(5) = 30

Answer by Nina

2 x - 5 + 7 y - 3 = 9 x - 1 - y -8 Solve For X AND Y (SHOW WORK PLEASE)


(Just so people can get points :D)

Answers

Answer:

[tex]\large\boxed{\sf x = \frac{8y+1}{7} }[/tex]

[tex]\large\boxed{\sf x = \frac{7x-1}{8} }[/tex]

Group the Variable's:

2 x - 5 + 7 y - 3 = 9 x - 1 - y -8

2x -9x + 7y +y = -1 -8 +5 + 3

-7x + 8y = -1

From this find x and y

For X

-7x + 8y = -1

-7x = -1 -8y

7x = 8y + 1

x = (8y +1)/7

For Y

-7x + 8y = -1

8y = -1 +7x

y = (7x -1)/8

2x-5+7y-3=9x-1-y-82x+7y-8=9x-y-92x-9x-8+9=-y-7y-7x+1=-8y-7x=-8y-17x=8y+1x=8y+1/7


could you help me with 15 please?

Answers

Answer: 11 pounds

Step-by-step explanation:

Total weight of the first 8 backpacks

8*14

= 112 pounds

Total weight of the second 12 backpacks

12*9

= 108 pounds

Total weight of the whole 20 backpacks

112+108

= 220 pounds

therefore the mean weight of the 20 backpacks is

220 / 20

= 11 pounds

Someone help me with this question please

Answers

Answer:

0.6.

Step-by-step explanation:

Sin A = opposite side / hypotenuse

= 3/5 = 0.6.

Answer: 0.6.

Step-by-step explanation:

Sin A = opposite side / hypotenuse

= 3/5 = 0.6.

Which number does not belong with the other three?

Answers

Answer:

Option D

Step-by-step explanation:

Option D is not proper scientific notation, as the exponent is not on the 10

Britney is buying a shirt and a hat at the mall. The shirt costs $32.61, and the hat costs $19.82. If Britney gives the sales clerk $100.00. how much change should she receive? (Ignore sales tax.)
A. $44.47
B. $57.32
C. $52.43
D. $47.57

Answers

Answer:

D. $47.57

Step-by-step explanation:

Add up the cost of the two items

$32.61 + $19.82 = $52.43

subtract the cost for the $100

100-52.43 = 47.57

The change is D. $47.57

Answer:

$47.57

Step-by-step explanation:

cost of the t-shirt = $32.61

cost of the hat= $19.32

total cost of items she bought= 32.61+19.82= $52.43

Amount of change she received= 100-52.43= $47.57

Sue is traveling to Florida for vacation. Her flight takes off and the plane travels at a constant speed of 337 miles per hour. It takes her 5 hours to get to her destination. How many miles did she travel?



PLEASE HELP!!!

Answers

Answer:

Sue traveled 1,685 miles.

Step-by-step explanation:

337 x 5

(300 x 5) + (30 x 5) + (7 x 5)

1,500 + 150 + 35

1,650 +35

1,685

The volume of a cone of height hand base radius r is given by:​

Answers

The volume of a cone is calculated using the formula [tex](\frac{1}{3} )r^2h[/tex], where "h" is the cone's height and "r" is the radius of the base.

Answer:

The formula for the volume of a cone is (1/3)πr2h, where, "h" is the height of the cone, and "r" is the radius of the base.

Step-by-step explanation:

hope it helps you :)

Solve the inequations

3(1-2x) > 3-6x

Answers

Answer:

no solutions

Step-by-step explanation:

3(1-2x) > 3 -6x, distribute multiplication by 3 over the subtraction

3 - 6x > 3 - 6x, because the left side is the same as the right side

this statement is never true, therefore this inequality has no solutions.

Meg buys 42 tulip bulbs. She plants 18 bulbs in her front yard. She plants the rest of the
bulbs in 6 pots. Meg plants the same number of bulbs in each pot.
How many bulbs are in each pot?

Answers

Answer:

4 bulbs

Step-by-step explanation:

Dan bought x pounds of potatoes for $0.85 per pound and y pounds of grapes for $1.29 per pound. The total cost was less than $5. Which inequality represents his purchase?

1.29x + 0.85y < 5
1.29x + 0.85y > 5
0.85x + 1.29y > 5
0.85x + 1.29y < 5

Answers

Answer:

0.85x + 1.29y < 5

Step-by-step explanation:

x and y will be the numbers of grapes and potatoes he purchased.

Tanner bought 6 chocolates. Maggie bought c times as many chocolates as Tanner. Write an expression that shows how many chocolates Maggie bought.

Answers

Answer:

The equation that we most use to find how many chocolates Maggie bought would be:
6 x c = how many chocolates Maggie bought


Maggie bought c times as many chocolates as Tanner. This means to find how many chocolates Maggie bought we would multiply the c (Being how many times more chocolates Maggie bought) by 6 to find the number of chocolates Maggie bought`.






For example:
If the question stated Maggie bought 4 times as many chocolates as Tanner, the equation would be; 6 x 4 = how many chocolates Maggie bought. Which would be 24 chocolates.









Step-by-step explanation:

Have a great rest of your day
#TheWizzer

16. (1.7 • 10^-4)(5•10^-5)
A. 8.5 • 10^-9
B. 8.5 • 10^20
C. 6.7 • 10^-9
D. 6.7 • 10^20

Answers

A. 8.5 * 10^-9
when multiplying in scientific notation, you multiply the number and add the exponents!

PLS HURRY
Explain how an enlargement or a reduction in the dimensions of a building would cause a change in the scale factor.

Answers

A change in the scale factor is to occur when an enlargement or a reduction in the dimensions of a building occurs to preserve the relationship between actual and mapped dimensions.

What is scale factor?

Scale factor is the factor which is used to enlarge or smaller the original figure.

Scale factor is the ratio of representation measurement of the figure to the original figures. An enlargement or a reduction in the dimensions of a building would cause a change in the scale factor.

This can be understood with the following points:

Scale factor is the proportion between the actual and mapped dimensions of a construction.The change in dimensions of the building lead to the change in scale factor.This is happened to preserve their relationship.

Thus, a change in the scale factor is to occur when an enlargement or a reduction in the dimensions of a building occurs to preserve the relationship between actual and mapped dimensions.

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You're trying to save to buy a new $150,000 Ferrari. You have $35,000 today that can be
invested at your bank. The bank pays 4.0 percent annual interest on its accounts. How
long will it be before you have enough to buy the car?
Multiple Choice
O
37.61 years
36.86 years

Answers

Answer:

37.61 years

Step-by-step explanation:

I am assuming this is compound interest

35 multiplied by 1.04 to the power of 36.86 does not generate enough money.

35 multiplied by 1.04 to the power of 37.61 does.

Answer:

37.61 yrs  

Step-by-step explanation:

FV = future value = 150 000

PV = present value = 35 000

i = decimal interest = .04

annual interest periods = n

 formula    FV = PV ( 1 + i)^n      plug in the values and solve for 'n'

                 150 000 = 35000 ( 1 + .04)^n

                   150000/35000 = (1 + .04)^n      take log of both sides

                       .632 =  n log1.04

                             n = years = 37.105 years

How many full cases and additional items are needed to fulfill the order

Answers

There are 13 full cases and 2 additional items needed to fulfill the order

How to determine the full cases and additional items?

The given parameters are:

Items ordered = 80Items per case = 6

The number of cases is:

Case = 80/6

Evaluate

Case = 13 Remainder 2

This means that:

The full case is 13 and the additional item is 2

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find g(-3) g(2) g(4)

Answers

Answer:

[tex]\frac{1}{2}[/tex] , 2 , 4

Step-by-step explanation:

x = - 3 ≠ 2 , then

g(- 3) = [tex]\frac{1}{2}[/tex] × (- 3)² - 4 = [tex]\frac{1}{2}[/tex] × 9 - 4 = [tex]\frac{9}{2}[/tex] - 4 = [tex]\frac{1}{2}[/tex]

x = 2 then g(2) = 2

x = 4 ≠ 2 , then

g(4) = [tex]\frac{1}{2}[/tex] × 4² - 4 = [tex]\frac{1}{2}[/tex] × 16 - 4 = 8 - 4 = 4

In a particular class of 28 students, 12 are men. What fraction of the students in the class are men?​

Answers

Answer:

12/28

Step-by-step explanation:

the answer is 12/28 because 12 are men and the rest are mos likely girls,

Answer:

12 / 28

Step-by-step explanation:

Given:

- 28 students total

- 12 are men

so 12 out of the 28 are men which is the same as 12 / 28

If B is 60% more than A, then A is
A. 37.5% less than B.
B. 37.5% of B
C. 60% less than B
D. 60% of B

Answers

Answer:

37.5% less than B

Step-by-step explanation:

It is given that B is 60% more than A.

A (160%) = BA = B / (160%)A = B / (8/5)A = 5B/8A = 0.625BA = (62.5%) B

Since A is 62.5% of B, it is 37.5% less than B.

Answer:

A. 37.5% less than B

Step-by-step explanation:

We can write an equation to model this:

B being 60% more than A means that:

B=0.6A+1A

B=1.6A

Let's isolate A.

A=B/1.6

Multiply the top and bottom by 10 to get whole numbers

A=10B/16

Simplify

A=5B/8

5/8 = 62.5%

A=0.625B

Therefore, A is 62.5% of B

This means that A is 37.5% less than B.

Can you guys help me please :(

Answers

Step-by-step explanation:

ask me if you don't understand

What is the mean absolute deviation.

Answers

Answer:

1.56 rounded 1.6

Step-by-step explanation:

MAD (Mean Absolute Value):

step 1: Find the mean of the data

formula: sum of the data set / total number of terms

sum of the data set: 4 + 9 + 4 + 5 + 3 = 24

total number of terms: there is 5 numbers in the data set

mean = 24 / 5

mean = 4.8

step 2: Find the distance between each data and mean.

3, 4, 4, 5, 9

Distance between 3 and 4.8 is 1.8                 (4.8 - 3 = 1.8)

Distance between 4 and 4.8 is  0.8               (4.8 - 4 = 0.8)

Distance between 4 and 4.8 is  0.8               (4.8 - 4 = 0.8)

Distance between 5 and 4.8 is -0.2               (4.8 - 5 = -0.2)

Distance between 9 and 4.8 is -4.2               (4.8 - 9 = -4.2)

step 3: take the absolute value of any negative numbers

|-0.2| and |-4.2| is 0.2 and 4.2

step 4: add all the distances

1.8 + 0.8 + 0.8 + 0.2 + 4.2 = 7.8

step 5: divided it by the number of data

7.8 / 5 = 1.56

Let me know if you have any questions !

please help out asap, will give brainlist crown

Answers

Answer:

4 is an interior angle1,2,3 are exterior angles

3. 2x+12+3x-7=360

5x+5=360

5x=360-5

x=355/5

x=71

for exterior

2x+12=360

2x=360-12

x=348/2

x=174

Step-by-step explanation:

hope this will help you

The manufacturer of an energy drink spends $1.20 to make each drink and sells them for $2. The manufacturer also has fixed costs each month of $8000.

Find the revenue function R when x energy drinks are sold.

Answers

Revenue is money made in total. It doesn’t matter how much profit, so the manufacturing cost doesn’t matter.

R = 2x + 8000

in descending order: 0.03, 1.03, 0.13, 1.13​

Answers

Answer:

1.13, 1.03, 0.13, 0.03

.....

Answer:

1.13, 1.03, 0.13, 0.03.

Step-by-step explanation:

Highest value is 1.13 and lowest is 0.03.

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