the circle below is centered at (10, 4) and has a radius of 4. what is its equation?​

Answers

Answer 1

Answer:

The equation of the circle is

Formula :

(x- h ) ² + (y-k )² = r²

or, x²-20x +100 + y² -8y + 16 = 16

or, x² + y² -20x -8y + 100 = 0 is the required equation


Related Questions

ASAP!!!!!! Factor the trinomial x^2 + 7x + 12

Answers

= (x + 3)(x +4) or (x + 4)(x +3)
(X+3)(x+4)
Is the answer

I kinda need help

What is the fraction 1/4 in decimal form?


I need help with this one to

Solve 3^3

Answers

Answer: easy

Step-by-step explanation: 0.25 there

A man borrows Rs. 50000 at 12% p.A., compounded half-yearly. He pays back Rs. 18000 at the end of every six months. Calculate the third payment, he has to make to clear the entire loan

Answers

Answer:

Rs. 20246

Step-by-step explanation:

According To the Question,

Given, A man borrows Rs. 50000 at 12% per Annum(compounded half-yearly). Thus the Rate of Interest for 6 months would be 6%. Now, He pays back Rs. 18000 at the end of every six months.

Thus, the third payment, he has to make to clear the entire loan.

First-Payment = ( 50000 x 1.06 ) - 18000  ⇔  35000 Rs.

Second-Payment = (35000 x 1.06) - 18000  ⇔ 19100 Rs.

Third-Payment = (19100 x 1.06 ) ⇔ 20246 Rs. the third payment, he has to make to clear the entire loan.

Write down in terms of n, an expression for the nth term
of the following sequences:
a) 4 1 -2 -5 -8
b) -7 -12 -17 -22 -27

Answers

A) Tn= a+(n-1)d = 4 + (n-1)(-3) = 4 -3n + 3 = 7-3n

B) Tn = a+(n-1)d = -7 + (n-1)(-5) = -7 -5n + 5 = -2 -5n

[a is the first term, d is the common difference]

A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 97m long and 66m wide. What is the length of a training track running around the field? (Use the value 3.14 for π, and do not round your answer. Be sure to include the correct unit in your answer.)

Answers

Answer:

401.24m

Step-by-step explanation:

the length is,

97x2 + 66x3.14

Convert r=5/3sinθ−cosθ to rectangular form.


Enter your answer in slope-intercept form by filling in the boxes. Enter values so that fractions are simplified.

Answers

Answer:

y = 1/3 x + 5/3

Step-by-step explanation:

For rectangular to polar

x = rcosθ ... 1

y = rsinθ ... 2

Given the expression

r=5/3sinθ−cosθ

Cross multiply

r(3sinθ−cosθ) = 5

Expand

3rsinθ−rcosθ = 5 ..3

Substitute 1 and 2 into 3

3y - x = 5

Write in slope intercept form

3y = x + 5

Divide through by 3;

3y/3 = x/3 + 5/3

y = x/3 + 5/3

y = 1/3 x + 5/3

Hence the expression in slope-intercept form is y = 1/3 x + 5/3

Which expression is equivalent to f+f+8ff+f+8f?

Answers

Answer:

8f² + 11f

Step-by-step explanation:

there are no expressions listed

This is the expression simplified

8f² + 11f

Graph the picture nes whose equation is 2y=-3x-2

Answers

Answer:

Picture Below

Step-by-step explanation:

You can simplify it by dividing it into

y = -1.5x-1

(a) A Ship sails due north from point P to a point 0.4 km away. It then sails on a bearing
of 090° to a point R, 3 km from Q.
(1) Illustrate the information in a diagram.
Find the length PR​

Answers

Answer:

write these time in words 3:45

0.16 which number is in the hundreds place​

Answers

The 6 is in the 100ths place

Answer:

A decimal is always placed in this order :

thousands, hundreds, tens, separator, tenths, hundredths, thousandths.

In this case, the number 6 is in the hundredths place, and there is no HUNDREDS place.

Natalie and Warren started swimming laps in the pool at 5:47. Natalie finished swimming her laps 27 minutes later. Warren finished swimming his laps 8 minutes after Natalie. What time did Warren finish his laps?

Answers

Answer:

6:22

Step-by-step explanation:

original time minutes when they both started - 47

47+ natalie's time

47+27 =74

minus 60 minutes to account for the hour (6 o'clock)

74-60=14

natalie finished at 6:14

warren finished 8 minutes after natalie's time

14+8=22

the hour did not finish so it will remain at 6

which leaves your final answer for the time that warren finished as 6:22

I have five numbers, the mean is 6, and the mode is 7 what could these numbers be?

Answers

Answer:

3, 5, 7, 7, 8

Step-by-step explanation:

3, 5, 7, 7, 8

the mean = (3+5+7+7+8)/5 = 30/5= 6

the mode = 7

I don't get how to do this.

Answers

Answer:

426 chickens

Step-by-step explanation:

let the pigs = x

the ducks = 2×x = 2x

the chickens = 3×(2x) = 6x

x +2x +6x = 639

9x=639

x = 639/9 = 71

the chickens = 6x = 6×71 = 426

Answer:

[tex]426\:\mathrm{chickens}[/tex]

Step-by-step explanation:

Since a duck has two legs, a pig has four legs, and a chicken has two legs, we can write the following system of equations:

[tex]\begin{cases}d+p+c=639,\\d=2p,\\c=3d\end{cases}[/tex], where [tex]d[/tex] is the number of ducks on the farm, [tex]c[/tex] is the number of chickens, and [tex]p[/tex] is the number of pigs.

Substituting, we get:

[tex]d+\frac{1}{2}d+3d=639,\\4.5d=639,\\d=\boxed{142}[/tex]

Now substitute [tex]d=142[/tex] into [tex]c=3d[/tex] to get the number of chickens:

[tex]c=3(142)=\boxed{426\:\mathrm{chickens}}[/tex]

What is a name for the marked angle?
Picture given

Answers

Answer:

L DAC

Step-by-step explanation:

__________________

On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite direction
The number b varies directly with the number a. For example b= 2 when a = -2
-2. Which equation represents this
direct variation between a and b?
Obra
O b = a
Ob-a= 0
Ob(-a) = 0

Answers

Answer:

b = -a

Step-by-step explanation:

We know that:

On a number line, the distance between 0 and b is the same distance that between 0 and a (but b and a are in opposite sides of zero).

And we know that, for example, when:

b = 2,  a = -2

Remember that the distance between two values is given by:

|n - m|

Then the distance between 0 and b is:

|0 - b|

and the distance between 0 and a is:

|0 - a|

we have:

|-b| = |-a|

|b| = |a|

But the numbers are in opposite sides of the zero, so one must be positive and the other negative, then we can conclude that:

b = -a

or

-b = a

(these are equivalent)

Then the correct option is the first option:

b = -a

MATH HELP PLEASE DUE SOON

Answers

Answer:

a. Alternate exterior angles.

b. <A and <B are congruent. This diagram involves a line intersecting two parallel lines, forming the congruent angles <A and <B on opposite sides of the transversal.

c. They are alternate exterior angles like <A and <B, but because it is not guaranteed that the transversal is intersecting parallel lines in this case, we cannot prove that <C and <D are congruent alternate exterior angles.

Edmund and Lucy go to a toy shop. Edmund does not have enough money to buy the toy he wants. He says to Lucy, 'If you give me ₹ 40, I can buy my toy. But you will have ₹ 10 less to buy your toy." How much money does Lucy have?

Answers

Answer and explanation:

Assuming Edmund has $0

From Edmund, we know the toy costs $40(assuming it's in dollars)

Lucy gives him $40 and has $10 less($40-$10) to buy her own toy

Therefore Lucy had $40+$30= $70 before giving Edmund $40 for his toy.

Lucy currently has $70-$40 =$30, therefore needs $10 more to buy her own toy

how to prove sinA+sin2A/1+cosA+cos2A=tanA​

Answers

Answer:

my answer is in this picture. sorry about my handwriting.

Hope you will understand : )

I need help with this

Answers

7/10= 28/40

5/8=25/40

0.8=4/5=32/40

32>28>25

So 0.8>7/10>5/8

Using the graph, determine the coordinates of the vertex of the parabola.

Answers

Answer:

The coordinates of the vertex is (6,4).

Step-by-step explanation:

The vertex is the highest or lowest point on the parabola (curved line).

The equation y = –2x determines a linear function. Which table lists the coordinates of three ordered pairs that lie on the graph of this function?

Answers

Answer:

It b

Step-by-step explanation:

Answer:

It's A

Step-by-step explanation:

I did the test

Help ASAP please!!!!!!!!!

Answers

Answer:

1/4

Step-by-step explanation:

pitches >3

pitches=4,5

P=(15+10)/(15+20+40+15+10)=1/4

there are 3 method to show that 40 is the sum of two prime. among all the prime , find the difference between the two largest prime

Answers

Answer:

the difference is 39? for the answer

Step-by-step explanation:

The question is not exactly worded in such a way that one can tell how it should be answered.

If it means that 40 is the suim of 2 primes done 3 ways then the 3 answers are

17 + 23

37 + 3

11+ 29

So the difference between 37 and 29 = 8

There are no guarantees about this answer. I'm just doing it the way the question reads.

add the following decimals​

Answers

Answer:

148.91

Step-by-step explanation:

hope it helps<333

A ride-share company has a fee that includes a fixed cost and a cost that depends on both the time spent travelling, in minutes, and the distance travelled, in kilometres. The fixed cost of a ride is $2.55 Judy's ride costs $16.75 and took eight minutes. The distance travelled was 10 km. Pat's ride cost $30.35 and took 20 minutes. The distance travelled was 18 km. Roy's ride took 10 minutes. The distance travelled was 15 km. Find the cost of Roy's ride.

Answers

Answer:

the cost of Roy's ride is $23.05

Step-by-step explanation:

According to the Question,

Let, Cost of per minute charge is 'x' & Cost Of Per Kilometre charge is y .

Given, A ride-share company has a fee of the fixed cost of a ride is $2.55 .And, The Total cost of the Ride depends on both the time spent on travelling(in minutes), and the distance travelled(in kilometres) .

⇒ Judy's ride costs $16.75 . but the actual cost after deducting the fixed charge is 16.75-2.55 = $14.20, took 8 minutes & The distance travelled was 10 km. Thus, the equation for the journey is 8x+10y=14.20 ⇒ Equ. 1

⇒ Pat's ride costs $30.35 . but the actual cost after deducting the fixed charge is 30.35-2.55 = $27.80, took 20 minutes & The distance travelled was 18 km. Thus, the equation for the journey is 20x+18y=27.80 ⇒ Equ. 2

Now, on Solving Equation 1 & 2, We get

x=0.4(Cost of per minute charge) & y=1.1(Cost Of Per Kilometre charge)

Now, Roy's ride took 10 minutes & The distance travelled was 15 km . Thus, the cost of Roy's Ride is 10x+15y ⇔ 10×0.4 + 15×1.1 ⇔ $20.5

Hence, the total cost of Roy's ride is 20.5 + 2.55(fixed cost) = $23.05

The difference between the interest for first and second year on a sum of money compounded annually is rs 30 if the rate of interest is 5% what was the sum of money deposited

Answers

Answer:

$600.00

Step-by-step explanation:

The difference between the interest for first and second year on a sum of money compounded annually is rs 30 if the rate of interest is 5% what was the sum of money deposited

We solve using Compound Interest formula which is given as:

First, convert R as a percent to r as a decimal

r = R/100

r = 5/100

r = 0.05 per year,

Then, solve the equation for P

P = I / ((1 + r/n)^nt - 1)

P = 30 / ((1 + 0.05/1)^(1×1) - 1)

P = 30 / ((1 + 0.05)^(1) - 1)

P = $600.00

Use completing the square to solve this quadratic equation. Check all that apply.
x + 10x + 25 = 2 D

A. x = 5+ m2

B. x = 5 - 12

C. x= -5 +_2

D. x= -5-2​

Answers

Answer: x= -5+ 2 squared.

Step-by-step explanation:

Peggy had four times as many quarters as nickles. She had $2.10 in all. How many nickles and how many quarters did she have?

Which of the following equations could be used to solve the problem?
n+4n=2.10
n+4n=210
5n+100n=2.10
5n+100n=210​

Answers

Answer:

the answer is the third option

Step-by-step explanation:

What is the value of y ?

Answers

Answer:

67

Step-by-step explanation:

Answer.

67°

Step-by-step explanation:

the two lines are parallel so,

angle on line XY 67° is alternate angle on BD so, angle will be opposite angle y.

therefore, angle y= 67°

i got help from an awesome app called Gauthmath you can check it out on play store and app store. in my opinion avery good app with tutors and concept videos.

what is f(0) for the function f(x) =2x+3

Answers

Answer:

3

Step-by-step explanation:

f(x) =2x+3

Let x=0

f(0) =2*0+3

Multiply

f(0) =0+3

Add

f(0) =3

Answer:

3

step-by-step explanation

f ( x ) = 2 x + 3

f ( 0 ) = 2 × 0 + 3 .. ( f ( x = 0 ) - given )

multiply

f ( 0 ) = 0 + 3

Add the numbers

f ( 0 ) = 3

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