What is the equation of a circle with a center at (4, -9) and a radius of 5?

Answers

Answer 1

Answer:

(x - 4)² + (y + 9)² = 25

Step-by-step explanation:

The equation of a circle is written as seen below.

(x – h)² + (y – k)² = r²

Where (h,k) represents the center of the circle and r represents the radius

We want to find the equation of a circle that has a center at (4,-9) and a radius of 5.

We know that (h,k) represents the center so h = 4 and k = -9

We also know that r represents the radius so r = 5

Now to find the equation of this specific circle we simply plug in these values into the equation of a circle formula

Equation: (x – h)² + (y – k)² = r²

h = 4, k = -9 and r = 5

Plug in values

(x - 4)² + (y - (-9))² = 5²

5² = 25

The two negative signs in front of the 9 cancel out and it changes to + 9

The equation of a circle with a center at (4,-9) and a radius of 5 is

(x - 4)² + (y + 9)² = 25


Related Questions

Mini wants to buy a scooter for Rs 62,000 . She has only Rs 19,000 with her, so she decides to take a loan from a bank for the remaining amount. The bank offers Mini three loan schemes as shown below. Mini has to return the loan amount with interest in equal monthly instalments

2) Which among the given schemes offers a monthly instalment of less than Rs 5000. ?

a) Scheme A
b) Scheme B
c) Scheme C
d) Both Scheme A and Scheme B

Answers

Answer:

Option c, Scheme C

Step-by-step explanation:

scheme A: 45000/6 = 7500 per month

scheme B: 46800/9 = 5200 per month

scheme C: 48000/12 = 4000 per month

A population of values has a normal distribution with μ= 180.1
and σ=100. You intend to draw a random sample of size n=94

What is the mean of the distribution of sample means?

What is the standard deviation of the distribution of sample means?
(Report answer accurate to 2 decimal places.)

Answers

A sample of size n taken from a normally distributed population with mean µ and standard deviation σ has a sample mean of µ and standard deviation of σ/√n.

So the sample mean would still be 180.1, while the sample standard deviation would be 100/√94 ≈ 10.31.

The decimal for an irrational number never terminates or repeats. The
rational and irrational numbers together form the set of real numbers.
If false, explair:

Answers

Answer:

Step-by-step explanation:

No that is true. I can't make anything more out of it.

HaLP a beggar in need

Answers

Answer:

C) 2

Step-by-step explanation:

From the point (2,0), the next point on the graph is up 2, right 1, meaning that the slope is a positive 2.

The two rectangles have the same perimeters, find the value of x.

Answers

Answer:

x = 8ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

Answer:

x=4

Step-by-step explanation:

2x-2+x+2x-2+x=3+7+3+7

6x-4=20

6x=24

x=4

Solve 2x2 – 3x = 12 using the quadratic formula.

Answers

Quadratic Formula: (-b +/- sqrt(b^2 - 4ac)) / 2a

2x^2 - 3x = 12

2x^2 - 3x - 12 = 0

a = 2

b = -3

c = -12

(--3 +/- sqrt( (-3)^2 - 4(2)(-12) )) / 2(2)

3 +/- sqrt( 9 + 96 ) / 4

3 +/- sqrt(105) / 4

Answers: [tex]\frac{3 + \sqrt{105} }{4}[/tex], [tex]\frac{3 - \sqrt{105} }{4}[/tex]

Hope this helps!


Find the dy/dx from
y=3×^2+5×^4 -10

Answers

I’m rewriting it into d/dx so it’s a bit faster for me
d/dx(3x^2+5x^4-10)
=d/dx(3x^2)+d/dx(5x^4)+d/dx(-10)
=6x+20x^3, which is your desired answer

What is the purpose for post tests?

Answers

Answer:

The real reason of post test is to measure it's result in comparison to a pre test and determine d how much student has progressed over a term of instruction.

-p/3-8=3 what is the variable​

Answers

Answer:

-33

Step-by-step explanation:

-p/3-8=3

or,(-p-24)/3=3

or,(-p-24)=9

or,-p=33

Therefore, p=-33

The rate of change for yyy as a function of xxx is

, therefore the function is

.
For all values of xxx, the function value y\:yy

\:000.
The yyy-intercept of the graph is the function value y=\:y=y, equals
.
When x=1x=1x, equals, 1, the function value y=\:y=y, equals
.

Answers

everything seems to be correctly filled.

if you wanted confidence by confirmation: here, take some

It is an exponentially decaying function.

What is an exponential function ?

An exponential function is where the independent variable is in the exponent. Generally the the independent variable is in the power of a constant term e.

Exponential functions are of two types one is exponentially growing function and exponentially decaying function.

when the we have a positive exponent the function is exponentially growing and when we have a negative exponent the function is exponentially decaying.

In the given question f(x) = 8e⁻ˣ

when, x = 0 f(x) = 8

f(x) = 8e⁻ˣ

f(0) = 8e⁰

f(0) = 8

Learn more about Exponential functions here :

https://brainly.com/question/15352175

#SPJ5

find the least number that can be divided 9and 12 without leaving remainder​

Answers

Answer:

By finding LCM of 9 and 12 the answer is 36

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

The sum of two positive integers is 67. When the smaller integer is subtracted from twice the larger, the result is 38. Find the two integers.

Answers

Answer:

Step-by-step explanation:

x+y = 67

2x-y = 38

Add the equations together

3x = 108

x = 36

y = 67-x = 31

Which is the correct label of the line? (1 point)
a
AC
O
CD
D
Ο OllA

Answers

Answer:

The correct label of the line is CD

For the same random sample of adult women, with a sample mean height of x¯=64.3 inches and sample standard deviation of s=2.4 inches, use the Empirical Rule to determine the approximate percent of heights that lie between 59.5 inches and 69.1 inches.

Round your answer to the nearest whole number (percent).

Answers

Answer:

95%

Step-by-step explanation:

Mean , xbar = 64.3; standard deviation, s= 2.4

Using the empirical formula where ;

68% of the distribution is within 1 standard deviation from the mean ;

95% of the distribution is within 2 standard deviation from the mean

percent of heights that lie between 59.5 inches and 69.1 inches.

Number of standard deviations from the mean /

Z = (x - μ) / σ

(x - μ) / σ < Z < (x - μ) / σ

(59.5 - 64.3) / 2.4 < Z < (69.1 - 64.3) / 2.4

-2 < Z < 2

Thia is within 2 standard deviations of the means :

2 standard deviation form the mean = 95% according to the empirical rule.

3. (02.01)
Solve for x:
wim
(x – 4) = 2x. (1 point)
2
-2
-8
-4

Answers

Answer:

x = -4

Step-by-step explanation:

(x - 4) = 2x

We need an x that when is subtracted by 4 is equal to multiplying it by 2

((-4) - 4) = 2(-4)

(-8) = (-8)

Therefore x = -4

A rectangle has a length of 38 meters less than 8 times its width. If the area of the rectangle is 4050 square meters, find the length of the rectangle.

Answers

Let

width be x Length=8x-38Area=4050m^2

We know

[tex]\boxed{\sf Area =Length\times Width}[/tex]

[tex]\\ \sf\longmapsto x(8x-38)=4050[/tex]

[tex]\\ \sf\longmapsto 8x^2-38x=4050[/tex]

[tex]\\ \sf\longmapsto 8x^2-38x-4050=0[/tex]

By solving

[tex]\\ \sf\longmapsto x=\dfrac{81}{4}\:or\:x=25[/tex]

Take x as 25

[tex]\\ \sf\longmapsto Length=8x-38=8(25)-38=200-38=162m[/tex]

(x-1)(x-3)(x+5)(x+7)=297

Answers

First simplify the expression into polynomial form,

[tex](x-1)(x-3)(x+5)(x+7)=297[/tex]

[tex]x^4+8x^3-10x^2-104x+105=297[/tex]

[tex]x^4+8x^3-10x^2-104x-192=0[/tex]

Now factor into,

[tex](x-4)(x+8)(x^2+4x+6)=0[/tex]

Which means the solutions are,

[tex]x-4=0\implies\boxed{x_1=4}[/tex]

[tex]x+8=0\implies\boxed{x_2=-8}[/tex]

and then two complex solutions because determinant of the third factor [tex]D\lt0[/tex],

[tex]x^2+4x+6=0[/tex]

[tex]x^2+4x+4=-2[/tex]

[tex](x+2)^2=-2\implies\boxed{x_3=i\sqrt{2}-2},\boxed{x_4=-i\sqrt{2}-2}[/tex]

Hope this helps :)

Answer:

x=4

Step-by-step explanation:

(4-1)(4-3)(4+5)(4+7)=297

A gardener makes a new circular flower bed. The bed is ten feet in diameter.Calculate the circumference and the area of the circular flower bed

Answers

Answer:

It will be 31.4 cm rounded off for circumference

It will be 78.53 cm2 rounded off for area

Step-by-step explanation:

Diameter = 10 cm

Radius = 10/2 cm = 5 cm

Circumference = 2×pi×radius

= 2pi×5

= 31.4 cm

Area = pi × r square

= 25 pi

= 78.53cm2

PLEASE HELP! 50 POINTS
Identify the intervals on which the function is increasing, decreasing or constant. Write your answers in interval notation. Write the end behavior for each function in limit notation.
f(x)=-4x^4+3x^3-2x^2+x-9
(Type a 0 before the decimal to hold the ones place for answers that don't have a value in the ones place. Ex. 0.24)
Use inf for infinity

Answers

5.1 ANSWERS.pdf

2. Page 3. Practice: Use your calculator to sketch a graph of each

HELP! NO SCAMS PLZ, i need to know how to write the proportion.

Answers

Answer:

Terry misappropriately represented the ratio on the left-hand side. Instead of 16/4, he wrote 4/16.

4+z/y = 36/18

Step-by-step explanation:

a) Since both triangles are similar triangles, then the ratio of their similar sides is equal to a constant k. Therefore:

16/4 = 18/y

Note that the arrangement depends on which of the triangles sides cones first.

Terry misappropriately represented the ratio on the left-hand side. Instead of 16/4, he wrote 4/16.

b) Same rule in (a) applies to the sum as well. Hence;

4+z/y = 16+20/18

4+z/y = 36/18

I'm stuck. Can anyone help please?

Answers

log₉(x - 7) + log₉(x - 7) = 1

2 log₉(x - 7) = 1

log₉(x - 7) = 1/2

Take the base-9 antilogarithm of both sides; in other words, make both sides powers of 9:

[tex]9^{\log_9(x-7)} = 9^{1/2}[/tex]

[tex]9^{1/2}[/tex] can also be written as √9 = 3, and [tex]b^{\log_b(a)}=a[/tex], so the equation reduces to

x - 7 = 3

Solve for x :

x = 10

Suppose a certain study reported that 27.7% of high school students smoke.
Random samples are selected from high school that has 632 students.
(i) If a random sample of 60 students is selected, what is the probability that
fewer than 19 of the students smoke?
(ii) If a random sample of 75 students is selected, what is the probability that
more than 17 of the students smoke?

Answers

The correct answer of the question is "0.7062" and "0.835". The further solution is provided below.

Given:

Probability of student smoke,

P = 27.7%

  = 0.277

Number of students (n) = 632

[tex]q = 1-p[/tex]

  [tex]=1-0.277[/tex]

  [tex]=0.723[/tex]

(i)

Here,

Number of students (n) = 60

then,

⇒ [tex]n_P=60\times 0.277[/tex]

         [tex]=16.62[/tex]

⇒ [tex]n_q=60\times 0.723[/tex]

        [tex]=43.38[/tex]

We can see that [tex]n_P > 10[/tex] and [tex]n_q>10[/tex] so the normal approximation condition are met.

Now,

[tex]\mu = n_P= 16.62[/tex]

[tex]\sigma = \sqrt{n_{Pq}}[/tex]

  [tex]= \sqrt{60\times 0.277\times 0.723}[/tex]

  [tex]=3.9664[/tex]

Now,

⇒ [tex]P(X<19) = P(X<18.5)[/tex]

                      [tex]=P(Z_{18.5})[/tex]

The Z-score is:

= [tex]\frac{18.5-16.62}{3.4664}[/tex]

= [tex]0.5423[/tex]

hence,

The probability will be:

⇒ [tex]P(Z_{18.5}) = 0.7062[/tex]

or,

⇒ [tex]P(Z<19) = 0.7062[/tex]

(ii)

Here,

Number of students (n) = 75

[tex]\mu = n_P = 75\times 0.277[/tex]

            [tex]=20.775[/tex]

[tex]\sigma = \sqrt{n_{Pq}}[/tex]

   [tex]=\sqrt{75\times 0.277\times 0.723}[/tex]

   [tex]=3.8756[/tex]

Now,

⇒ [tex]P(X>17) = P(X> 17.5)[/tex]

                      [tex]=1-P(X \leq 17.5)[/tex]

                      [tex]=1-P(Z_{17.5})[/tex]

The Z-score is:

= [tex]\frac{17.5-20.775}{3.8756}[/tex]

= [tex]-0.9740[/tex]

then, [tex]P(Z_{17.5}) = 0.165[/tex]

hence,

The probability will be:

⇒ [tex]P(X>17) = 1-0.165[/tex]

                      [tex]=0.835[/tex]    

Learn more about Probability here:

https://brainly.com/question/9825651

(PLEASE ITS ACTUALLY MY LAST ONE HELP)

Which two figures represent circles of the same size?

A) D and G
B) C and G
C) none of them.
D) C and D

Answers

Answer:

B) C and G

Step-by-step explanation:

The radius is equal to 1/2 the diameter

r = 1/2 d

G has a diameter of 45

1/2 (45) = 22.5

C and G are the same

Answer:

c and g!

Step-by-step explanation:

SOMEONE PLS HELP!!!!
Determine if the function f is an exponential function. If so, identify the base. If not, why not? f(x) = 3x + 1

A) This is a polynomial.


B) The base is x + 1.


C) The base is 3.


D) This is not an exponential function because the variable is in the exponent position.

Answers

Answer:

Step-by-step explanation:

Is the function f(x) = 3x+1, f(x) = 3ˣ⁺¹, or f(x) = 3ˣ+1 ?

f(x) = 3x+1 is not an exponential function. It is a straight line.

f(x) = 3ˣ⁺¹ Is an exponential function. The base is 3.

f(x) = 3ˣ+1 is an exponential function. The base is 3.

inverse of f(x)=e^(3x-1)

Answers

Answer:

f(x) = 3ex - e

Step-by-step explanation:

In this equation we have basically the times e by 3x and -1

so first let's do e times 3x

here...

e X 3x = 3ex

so let's rewrite the equation

3ex - 1

now we times e by 1. (Note - Negative sign stays)

3ex - 1e

we don't have to write 1e cause 1e = e, they are the same.

Therefore the answer is 3ex - 1e

Following are the calculation of inverse:

Given:  

[tex]\to f(x)=e^{3x-1}[/tex]

To find:

inverse function=?

Solution:

A function g is the inverse of function F if for [tex]y=f(x), x=g(y)[/tex]

[tex]\to y=e^{3x-1}[/tex]

Replacing the value of x with y  

[tex]\to x=e^{3y-1}[/tex]

Solve for [tex]y, x=e^{3y-1}[/tex]

Therefore, the answer is [tex]\frac{\log(x)+1}{3}[/tex].

Learn more about the inverse function:

brainly.com/question/13671128

What is the next fraction in each of the following patterns? a. 1⁄40, 4⁄40, 9⁄40, 16⁄40, 25⁄40 . . .? b. 3⁄101, 4⁄101, 7⁄101, 11⁄101, 18⁄101, 29⁄101 . . .? c. 5⁄1, 10⁄2, 9⁄2, 18⁄4, 17⁄8, 34⁄32, 33⁄256 . . .?

Answers

Answer:

a.

[tex] \frac{36}{40} [/tex]

double the sum of a number w and 3

Answers

Answer:

2(w+3)

Step-by-step explanation:

2(w+3) or 2w+6

303 million, 90 thousand write it in digits

Answers

303, 090, 000
There you go!

Identify the domain of the graph given below.

Answers

Answer:

(-∞,∞) is the domain.

2 is the range

Step-by-step explanation:


An investment of $8,120 is earning interest at the rate of 5.8% compounded quarterly over 11 years. How much
interest is earned on the investment? Show your work.

Answers

Answer:

5180.56 Dollars...........

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