What is the equation of a circle with center at (4, -2) and a radius of 7?

Answers

Answer 1

let h= 4, k=-2 and r= 7 then

(x-h)^2 + (y-k)^2 = r^2

(x-4)^2 + (y+2)^2 = 7^2

x^2 -8x +16 + y^2 +4y +4 = 49

x^2 +y^2 -8x +4y +16 +4-49 = 0

x^2 + y^2 -8x +4y -29 = 0 is the required eq


Related Questions

Meg withdrew $300 from her account on Saturday. Then she deposited $174.83 into her account on Sunday. Meg wants to know how much would be in her brother's account if he has double her balance.
- A = -125.17
- B = -250.34
- C None of the above
Pls answer quick!!

Answers

−300 + 174.83 = -125.17. A is the answer!

A. 1/3
B. 1
C. 2
D. 3/1
E. 1/2
F. 2/3

Answers

Answer:

B

Step-by-step explanation:

the graph is completely proportional so the answer would be 1

write a sine function that has a midline of 3, an amplitude of 2 and a period of 3pi/4

Answers

Answer:2sin(8/3x)+3

Step-by-step explanation:

The required sine function is [tex]\bold{y=2~sin(\frac{3\pi}{4} x)+3}[/tex]

What is midline?

"It is the horizontal center line about which the function oscillates above and below. "

What is amplitude?

"It is the distance between the highest point and midline."

What is time period?

"It is the length of one complete cycle of the curve."

What is vertical shift?

"It is the distance between midline and x-axis."

What is equation of sine graph?

"The generalized equation for a sine graph is as follows:

[tex]y = A~sin(B(x + C)) + D[/tex]

where, amplitude = A

period = 2π/B

phase shift = C

vertical shift = D"

For given function,

A sine function that has a midline of 3, an amplitude of 2 and a period of 3pi/4

A = 2

T = [tex]\frac{3\pi}{4}[/tex]

In this case, the midline is 3

⇒ D = 3

Using the generalized equation of sine function,

[tex]\Rightarrow y = A~sin(B(x + C)) + D\\\\\Rightarrow y = 2~sin(\frac{3\pi}{4} (x + 0)) + 3\\\\\Rightarrow y=2~sin(\frac{3\pi}{4} x)+3[/tex]

Therefore, the required sine function is [tex]\bold{y=2~sin(\frac{3\pi}{4} x)+3}[/tex]

Learn more about sine function here:

https://brainly.com/question/26369761

#SPJ2

Show work for this equation

Answers

Answer:

49ft

Step-by-step explanation:

Find x by using

cos38=x/62

LE
11. The diagram shows two night-angled triangles, joined together along a common side
AB = 10-8 cm, BC = 14 4 om and CD = 24 cm.
24 am
10-8 cm
B
14-4 cm
Diagram noi drawn to scale
Calculate the area of triangle ACD.
You must show all your working.

Answers

Answer:

216 cm²

Step-by-step explanation:

Area of ∆ACD = ½*CD*CA

CD = 24 cm

CA = ?

Use pythagorean theorem to find CA.

Thus:

CA² = AB² + BC²

Substitute

CA² = 10.8² + 14.4² = 324

CA = √324

CA = 18 cm

Area of ∆ACD = ½*CD*CA

Substitute

Area = ½*24*18

= 216 cm²

HELP I NEED TO DO THIS NOW

Answers

Answer: The answer is 1:2, i hope it helps.

Ten people were surveyed. The scatterplot shows the relationship between the number of fruit servings and the number of vegetable servings each
person eats per day.
4
Fruit Servings
0
4
Vegetable Servings
Matt is one of the people surveyed. He is considered an outlier in this data.
Which statement describes Matt's data relative to the general pattern of the data?

Answers

Answer:b

Step-by-step explanation:

It b

The statement describes Matt's data relative to the general pattern of the data.option B is correct.

We have given that,

Ten people were surveyed. The scatterplot shows the relationship between the number of fruit servings and the number of vegetable servings each

A person eats per day.

 

 Fruit Servings                       Vegetable Servings

      4                                              0

        -                                              4

Matt is one of the people surveyed. He is considered an outlier in this data.

What is the scatter plot?

A scatter plot is a type of plot or mathematical diagram using Cartesian coordinates to display values for typically two variables for a set of data.

From the given scatter plot we can say that option B is correct.

To learn more about the scatter plot visit:

https://brainly.com/question/6592115

#SPJ2

Help. No links. Ty :3

Answers

Answer:

334

Step-by-step explanation:

On Tuesday, 14 students handed in a permission slip for a field trip. On Thursday, twice as many students handed in their permission slip than on Tuesday. On Friday, an additional 7 students turned in their permission slip. What expression could be used to find the total number of permission slips handed in?
14 x 2 + 7
14 + (2 x 14) + 7
14 + (2 x 7)
14 ÷ (2 x 7) + 14

Answers

14+(2x14)+7 is the correct answer.

The 7 times the sum of a
number and 6 IS 63

Answers

Answer:

Missing number = 3

Step-by-step explanation:

Let [tex]x[/tex] be the missing number. We have the following:

[tex]7\cdot (6+x)=63,\\6+x=9,\\x=\boxed{3}[/tex]

find the slope intercept form (y=mx+b)

Answers

Answer:

5/9??? I think thats the answer

Use two unit multipliers to convert 4000 square inches to square feet.

Answers

Answer:

(4000 in^2) * (1 ft/12 in)^2 = 27 7/9 ft^2

Step-by-step explanation:

4,000 Square Inches =

27.777778 Square Feet

Plz help me well mark brainliest if correct!!.....

Answers

Answer:

9 inches

Step-by-step explanation:

9 times 6=54

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. What value of x satisfies this equation? 1.5(4)^2x=12 Round your answer to the nearest hundredth. The value of x is .

Answers

Answer:

O.75

Step-by-step explanation:

The value of x in the equation 1.5(4)^2x is equal to 12 is 3/4 after equation the power of same base.

What is integer exponent?

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

We have an equation:

[tex]\rm 1.5(4)^2^x=12[/tex]

[tex]\rm (4)^2^x=8[/tex]

[tex]\rm (2^2)^{2x}= 2^3[/tex]

[tex]\rm 2^{4x}=2^3[/tex]

4x = 3  (equating powers of same base)

x = 3/4

Thus, the value of x in the equation 1.5(4)^2x is equal to 12 is 3/4 after equation the power of same base.

Learn more about the integer exponent here:

brainly.com/question/4533599

#SPJ2


Si en un examen 27 preguntas son correctas el 90%, cuántas preguntas son en total?​

Answers

Respuesta:

30

Explicación paso a paso:

Número total de preguntas = 100%

Número de preguntas correctas = 27

Porcentaje de aciertos = 90%

Por eso,

Si 90% = 27

Luego ; 100% = x

Multiplicar en cruz:

0,9 veces = 27

x = 27 / 0,9

x = 30

Número de preguntas = 30

Triangle ABC has coordinates A(-3, 2), B(-2, 4), and C(-2, 1). If the triangle is reflected over the y-axis, what are the coordinates of A'?

Answers

Answer:

A=3, 2

B= 2,4

C= 2, 1

If i'm not wrong

Point A(-3,2)) reflected over the y-axis becomes: A'(3,2).

Point B(-2,4) reflected over the y-axis becomes: B'(2,4).

Point C(-2,1) reflected over the y-axis becomes: C'(2,1).

The planet Uranus has a radius of 25,362 km, and planet Mars has a radius of 3,390 km. How many times bigger is the volume of Uranus than Mars? Assume that both planets are spheres.

Round your answer to one decimal place.

Answers

Answer:

ranus is a large planet with a volume of 6.833 x 1013 cubic kilometers. You could fit a little more than 63 Earths inside of Uranus, but like the other gas giants, it is not very dense. Comprised mostly of gas, the planet is only about 14.5 times more massive than Earth is.

Step-by-step explanation:

^

3 x 1/2 in fraction form

Answers

Answer:

3*1/2= 3/2

Step-by-step explanation:

[tex]\frac{3}{1}[/tex]*[tex]\frac{1}{2}[/tex] = 3/2

3*1/2= 3/2

3 is equal to 3/1

we then directly multiply

equation: (3/1)(1/2)

(3/1)(1/2)

3*1 = 3

1*2= 2

3/2 or 1 1/2.

How do you write in fraction form?

Decimals can be written in fraction form. To convert a decimal to a fraction, place the decimal number over its place value. For example, in 0.6, the six is in the tenth place, so we place 6 over 10 to create the equivalent fraction, 6/10.

Learn more about fraction form at

https://brainly.com/question/46210

#SPJ2

Jose' traveled from his home in Ocala to Gainesville. Gainesville is 37 miles
due north of Ocala. North is considered a positive direction and south is
considered a negative direction. What integer value would represent the
direction and the distance as Jose's traveled back home from Gainesville to
Ocala?
Pls help!!!!!!

Answers

Answer:

The integer -37 represents the direction and the distance covered by Jose from Gainesville to Ocala.

Step-by-step explanation:

The direction is represented by the sign that accompanies the distance, since Jose is returning from Gainesville, then the direction must represented by a minus sign (-), since he is travelling southwards. The distance is the magnitude of the length covered by Jose during his return. Hence, distance is represented by the natural number 37.

Finally, the integer -37 represents the direction and the distance covered by Jose from Gainesville to Ocala.

Sheldon spins the two spinners below one time what are the chance he will spin 3 or c ?

Answers

Answer:

[tex]P(3\ or\ c) = 0.45[/tex]

Step-by-step explanation:

Given

See attachment for spinner

Required

[tex]P(3\ or\ c)[/tex]

From the first spinner, we have:

[tex]S = \{1,2,3,4,5\}[/tex] --- Sample Space

[tex]n(S)=5[/tex]

So, P(3) is:

[tex]P(3) = \frac{n(3)}{n(S)}[/tex]

[tex]P(3) = \frac{1}{5}[/tex]

[tex]P(3) = 0.20[/tex]

From the second spinner, we have:

[tex]S = \{a,b,c,d\}[/tex]

[tex]n(S) = 4[/tex]

So, P(c) is:

[tex]P(c) = \frac{n(c)}{n(S)}[/tex]

[tex]P(c) = \frac{1}{4}[/tex]

[tex]P(c) = 0.25[/tex]

The required probability is then calculated as:

[tex]P(3\ or\ c) = P(3) + P(c)[/tex]

[tex]P(3\ or\ c) = 0.20 + 0.25[/tex]

[tex]P(3\ or\ c) = 0.45[/tex]

C u m s t e r g o i n t r e b a r e de pe b r a i n l y?

Answers

Yes, 12345678910112121414127272771819292

Answer:rf JAMES CHARLE's?!?

Step-by-step explanation:

In the paper airplane shown , ABCD=EFGH, m

Answers

Answer:

i would think it would be the same as angle bcd so 90

Step-by-step explanation:

Math! Help Marking brainliest if it's correct and Explain​

Answers

Answer:

Option C : Step 3

After harvesting, she weighs each pumpkin on a scale and records its height

HELP AND I WILL GIVE BRAINLIEST!
What is the value of c such that x^2 - 6x + c is a perfect-square trinomial?
a. 36
b. 9
c. -3
d. 18

Answers

Answer:

[tex]x^2 -6x +c \ is \ the \ perfect \ square\\=> x^2 -6x + c = (x -k)^2\\=>x^2 -6x+c = x^2 -2kx + k^2\\Equating \ the \ like \ terms,\\-6x = -2kx\\k = 3\\substituting \ k \ in \ (x-k) = (x-3)\\x^2 -6x +c = (x-3)^2\\\\X^2 - 6x + c = x^2 -6x +9 \\\\=> c = 9[/tex]

opion. b

Answer:

b

Step-by-step explanation:

Simplify the expression:
62^7 +1 + 6xy + 8z^7 + 9 + 6yx

I WILL GIVE BRAINLIEST.

Answers

Answer: 62^7+10+12xy+8z^7

what is (20)+(475)? I need it now​

Answers

ur answer is going to be 495

The answer to the above question

Answers

Answer:

Step-by-step explanation:

Since our interval is given as it is, we are in QIII. That interval is equivalent to 270 degrees to 360 degrees, which is QIII. If we draw this right triangle in QIII and label it accordingly, the side adjacent to the reference angle is sqrt2 and the hypotenuse is 2. We know this because the cosine ratio is defined as the side adjacent to the reference angle over the hypotenuse of the right triangle. That means that we have to find the missing side in order to determine the other 2 main trig ratios. Using Pythagorean's Theorem, we have

[tex]2^2=\sqrt{2}^2+b^2[/tex] and

[tex]4=2+b^2[/tex] so

[tex]b=\sqrt{2}[/tex]. But since it is for a value that, in QIII is negative, it is [tex]-\sqrt{2}[/tex]

Now we can find the sin and tan of that reference angle. Sin is defined as the side opposite the reference angle over the hypotenuse, so

[tex]sin\theta=\frac{-\sqrt{2} }{2}[/tex] and tan, which is defined as side opposite the reference angle over the side adjacent to the reference angle, then

[tex]tan\theta=\frac{-\sqrt{2} }{\sqrt{2} }=-1[/tex]

help please!! really easy math. <3

Answers

Answer:

y = x+5

Step-by-step explanation:

Answer:

[tex]y = x + 5[/tex]

Step-by-step explanation:

GIVEN :-

Slope of the line (denoted by 'm') = 1y-intercept of the line (denoted by 'c') = 5

TO FIND :-

Equation of line in slope-intercept form

FACTS TO KNOW BEFORE SOLVING :-

Lets say there's a line whose slope is 'm' & y-intercept is 'c'. So, the equation of line in slope-intercept form is → [tex]\boxed {y = mx + c}[/tex]

SOLUTION :-

By using the basic idea of slope-intercept form , the equation of line given in the question is :-

[tex]y = (1 \times x) + 5[/tex]

[tex]=> y = x + 5[/tex]

CAN SOMEONE HELP ME PLEASE ASAP

Answers

Answer:for the permieter dont you just add both sides?

Step-by-step explanation:

The premier would be y=Mx+b

if n is an integer,what is the sum of the next three consecutive even integers greater than 2n?​

Answers

Answer:

6n + 12

Step-by-step explanation:

Given an integer n, the 3 consecutive even integers greater than 2n are 2n+2, 2n+4 and 2n+6

Taking their sum;

Sum = (2n+2)+(2n+4)+(2n+6)

Sum = 2n+2n+2n+2+4+6

Sum = 6n + 12

Hence the sum of the 3 consecutive even integers greater than 2n is 6n+12

Other Questions
calculate the ph of the solution [oh-] = 1x 10-11 ma. 11.0b. 12.0c. 2.7d. 3.0 give me a topic that i should write for a story and like a main idea and stuff like that.. any ideas u have BRAINLIEST IF RIGHT WITH EXPLANATIONOxygen is pumped into a tank at a pressure of 4.63 atm. After helium is pumped into the tank, the total pressure reaches 20.0 atm. What is the partial pressure of helium in the tank? you don't have to do all but can someone help me with some :( its making sentences using those words (future tense) Which sentence is not grammatically correct? 1.May i go to my friend's house next Friday? 2. You must not smoke in a plane. 3.can we visit you on Tuesday? 4.You have to stop at the red traffic light.thank you so much=) Plz help me well mark brainliest if correct!!... Help a n i -g g -a plz Rewrite the following equation in slope-intercept form.x + 4y = 16 Douglass writes, You have seen how a man was made a slave; you shall see how a slave was made a man (76). How did Douglass transform himself from a slave to a man, despite still being physically enslaved?PLS WRITE AN ESSAY USING YOUR OWN WORDS IT IS DUE AT 11:59 PM PLS HELP Which graph represents the solution set of 2x-5 What happens to the rate constant as activation energy increases? A. The rate constant decreases.B. The rate constant levels off.C. The rate constant does not change.D. The rate constant increases. Solve for t.3t- 2 = -11A. -12B. -11C. -9D.-3 Read the excerpt from The Crisis, Number I by Thomas Paine.Not all the treasures of the world, so far as I believe, could have induced me to support an offensive war, for I think it murder; but if a thief breaks into my house, burns and destroys my property, and kills or threatens to kill me, or those that are in it, and to 'bind me in all cases whatsoever' to his absolute will, am I to suffer it? What signifies it to me, whether he who does it is a king or a common man; my countryman or not my countryman; whether it be done by an individual villain, or an army of them? If we reason to the root of things we shall find no difference; neither can any just cause be assigned why we should punish in the one case and pardon in the other.Which is the clearest and most objective summary of the excerpt?Paine declares that it will take all the money in the world to convince him to support this war. He asks what difference it makes who his opponent is or what crime he commits. In either case, Paine asserts that he must be punished.Paine says that war is terrible, and ordinarily nothing could have convinced him to support it. However, he also believes that if a person or group commits severe crimes against him, that party should be punished, no matter who they are.Paine's claim that no amount of money could induce him to wage war is self-serving, but he argues rightly that anyone who threatens his safety or the safety of his family should be punished.All the treasures of the world could not have induced me to support an offensive war, for it is murder; but if a thief threatens to kill me or my family should I suffer it? Does it matter if it is a king, a common man, my countryman or not? Should I punish one and pardon the other? Need help if you can could u put an explanation THIS IS WORTH 70 POINTS *complete ALL of the quick write prompts.1 complete paragraph in 8-12 sentences for Each promptlabel, it based on the question you are answering.YOU CAN MAKE THIS ALL UP BUT IT HAS TO BE SCHOOL-APPROPRIATEI AM A BOY, THUS YOU SHOULD BE TALKING ABOUT A BOY.1.Think about a time you felt embarrassed at school (or outside of school).Who were you with? What was said? What made you feel this way?2. think about a time when you said something you regretted saying to someone else.Was it gossip? A lie? Something insensitive? Why did you do it?Begin an entry with dialogue, inner thoughts, and sensory detail3. think of an argument you had with a family member or friend.What was it about? How did it start?Begin an entry using dialogue & thoughts4. Think of insecurity you have.Does it have to do with how you look, how you do in school, sports, activities outside of schoolHow do you deal with this insecurity? How can you possibly overcome this insecurity? 4Select the correct answer.Which of the equations below represents a line parallel to the yaxis?A. X= -yB. X= 4yC.x=yD.X= 4HELP What is an infinitive?A. The form of a verb that appears with the word to and acts as anoun, adjective, or adverbB. The form of a verb that acts only as an adverbC. The form of a verb that acts only as an adjectiveD. The form of a verb that acts only as a noun 2. Which of the following is the formula in solving for the area ofa circle?A. A= 2TTI B. A= T12C.A= id D. A=2 TT122Thodi an organism that hunts other organisms for food is aA. preyB. predator C. parasite D. host Two collinear points are given in the table. Give a third point that is also on this lineX Y0 04 -3answer answer