write the equation of a circle with a center at (-1,2) and a radius of 7

Answers

Answer 1

Answer:

[tex](x+1)^2+(y-2)^2=49[/tex]

Step-by-step explanation:

The standard form for the equation of a circle is [tex](x-h)^2+(y-k)^2=r^2[/tex] where  r  is the radius, and the center is (h, k).

(h, k) = (-1, 2),  r = 7

[tex](x-(-1))^2+(y-2)^2=7^2\\\\(x+1)^2+(y-2)^2=49[/tex]


Related Questions

Solve the equation:
2 + y/3 =8

Answers

Answer: y = 18.
First subtract 2 on both sides.
y/3 = 6
Then multiply 3 on both sides.
y = 18
Hope this helps!

Find the sum of the given geometric series: n = 8, r = 3, a = 1/2​

Answers

Answer:

a⁸=112 is the answer.

Step-by-step explanation:

a⁸=32(1/2)⁷

a⁸=32(7/2)

a⁸=112

What is the equation of the trend line in the scatter plot?

Use the two yellow points to write the equation in slope-intercept form. Write any coefficients
as integers, proper fractions, or improper fractions in simplest form.

Answers

Answer:

y = 5/8x + 9

Hope this helps!

Help meeeeeeee!!!!!!!

Answers

c sorry if i’m wrong btw

Answer:

the answer is c

Step-by-step explanation:

If u add the values of the dots on set A it would be greater than set B.

3x-8y=24
y=x-8
Please show
work

Answers

Answer:

3x - 8y = 24   --------(1)

y = x - 8  ---------(2)

substitute  y in (1)

3x - 8( x - 8) = 24

3x - 8x + 64 = 24

-5x = 24 - 64

-5x = -40

5x = 40

x= 8

substitute x in (2)

y = 2 - 8

y = - 6

Answer:

x = 8, and y = 0

Step-by-step explanation:

We can solve this by taking y as (x-8), as it states there.

Since y is equal to x-8, we can rearrange the system of equations into one single equation.

We can multiply y by 8, as it shows in the first equation, which is something like 8x-64.

Since it is a negative 8 being multiplied by y, it would be the inverse of 8x-64, which is -8x+64.

We can now organize our equation here.

3x - 8x + 64 = 24.

We can use subtraction property of equality by subtracing 64 from both sides to get rid of it.

We will get something like:

3x - 8x + 64 - 64 = 24 - 64.

Simplify by solving like terms like the x value and the integers.

-5x = -40

Divide both sides with division property of equality:

-5/5x = -40/5

x = 8

We can then plug the 8 back into x, lets use the second equation because I'm lazy and it looks the easiest to solve for.

y = (8) - 8

y = 0

Therefore, x = 8, and y = 0.

Pls help me with this one

Answers

Answer:

c

Step-by-step explacnation:

Answer:

D

Step-by-step explanation:

13. Each edge of a cube is the same length. What is the surface area of the 1
cube represented by the net shown?

Answers

Answer:

6 is the answer

Step-by-step explanation:

2
Type the correct answer in the box.
212 units
2 units
2 units
8 units
2 units
2 units
2 units
6 units
The area of the figure is
square units.
Reset
Next

Answers

Answer:

212×2×2×8×2×2×2×6= 325636

I hope the answer is correct. I hope I will get 5points

Answer:

2 units i hope this helps you

A hot air balloon descends from an altitude of 2,000 feet at a constant rate of 90 feet per minute. The graph shows the altitude of the balloon over time. Write a linear function in the form y = mx + b to represent the situation.

Answers

y=90x+2,000

90 is the rate of change because the hot air balloon descends 90 feet per minute.
And 2,000 is the starting point because the hot air balloon started the descent at 2,000 feet.

Answer:

y=90x+2,000

y=mx+b

Maria wants to huy some coffe mugs and plastic plates. The total cost of five coffe mugs and four plastic olayed is $28 and tge total cost of two coffe mugs and two plastic olates is $12 Write a system of equations and ise it to determine the cost of one coffe mug

Answers

Answer:

$4

Step-by-step explanation:

5c + 4p=28 equation 1

2c + 2p=12 equation 2

-2(2c +2p)=-2(12) multiply equation 2 by -2 so you can solve by elimination.

-4c-4p=-24 equation 2 multiplied by -2

5c+4p=28. Equation 1

c=4 added above 2 equations

solve for plates:

2c + 2p=12

2(4)+ 2p=12

8+2p=12

2p=4

p=2

check answer:

5c+4p=28. Equation 1

5(4)+4(2)=28

20+8=28

28=28

!!!!!I NEED HELP ASAP!!!!!
1
What is the product оf (9)(-9. (-1)
-81
-1
1
81

Answers

Answer:

81

Step-by-step explanation:

(-81)(-1) = 81

THIS IS URGENT PLZ HELP!!!

Find three consecutive EVEN numbers such that: The sum of one sixth of the first number, two sevenths of the second number and one half of the third number equals 54

Answers

Answer:

12

Step-by-step explanation:

2

4

6

8

10

12

14

16

18

20

22

24

26

Use the distributive property to write an equivalent expression.
10(2x + 8y - 6)

Answers

Answer:

20x +80y -60 hope this helped:)

Step-by-step explanation:

The triangle below is equilateral. Find the length of side x in simplest radical form with a rational denominator.

Answers

Answer:

x = 8

Step-by-step explanation:

If a triangle is equilateral, each vertex has an angle that is equal to 60 degrees

As we can see, we have two sets of similar right triangles

The value x faces the right angle and that makes it the hypotenuse

Also, the side measure 4 is the adjacent side to the angle 60

The trigonometric identity that relates the hypotenuse and the adjacent is the cosine

it is the ratio of the adjacent to the hypotenuse

Mathematically;

cos 60 = 4/x

x = 4/cos 60

x = 8

plsss anybody help no links more files they are viruses

Answers

Answer:

1- B & C (Same answer and also I'm not that sure)

2- B: y = 8x (I'm sure of this ^^)

3- Option 3

4- 108 degrees

Answer:

1. C

2. B

3. Option 3

4. 108 degrees

Step-by-step explanation:

1. There cannot be less than 0 people or more then 25 people, but the theatre capacity can be equal to both of these numbers.

2. x is multiplied by 8 to create y, so the equation is y=8x

3. There can't be over 8 refrigerators on the truck, and you can't have a fraction of a refrigerator.

4. One line is 180 degrees. 36+36=72, 180-72= 108 degrees

I need help with math

Answers

The answer is A muy guy

Answer:

Its the second one

Step-by-step explanation:

Find the surface area of the regular pyramid.
PLS HELP ME

Answers

Answer:

The surface area equals 45.

I’m not sure I will ask my sister

hi! please help i’ll give brainliest

Answers

Answer:

third option mechanical weathering

Step-by-step explanation:

in mechanical weathering it breaks the rock into smaller pieces . these smaller pieces are just like the bigger rock , just smaller .

Answer: Mechanical weathering

Step-by-step explanation:

In an arithmetic sequence, the 10th term is 37, and the 21st term is 4. Find the common difference and the first term

Answers

Answer:

Common difference is 3. And the first term is 64.

Step-by-step explanation:

The differnce between 21 and 10 is 11. So there are 11 unknown numbers in between.  And the difference between 37 and 4 is 33. 33/11 is equal to 3. So the pattern is minus three. the first term is 9 terms before 37. 9 times 3 is 27. 37+27 is equal to 64. so the first term is 64

f(x)=∣x∣
g(x)=∣x−1∣+9

We can think of g as a translated (shifted) version of f
Complete the description of the transformation.

Answers

Answer:

Step-by-step explanation:

There are two transformations, one vertical, one horizontal.

The + 9 part outside the absolute value sign moves the graph up 9 units.

Replacing  x  with  x - 1 moves the graph right 1 unit.

Comment:  The horizontal shifts sometimes appear backwards:  x - 1 looks like a shift to the left, but it's not.

Example:  f(4) = |4| = 4.  To get the same output (4) from g(x), you have to use a value for  x  that is 1 unit larger than 4.  g(5) = |5 - 1| = 4.

A bag contains n counters. one counter is blue and the rest are red. Two counters are taken at random from the bag. a) express, in terms of n, the probability that a counter of each colour is taken. Give your answer as a fraction. b) the probability that a counter of each colour is taken is 0.125. How many red counters are in the bag?

Answers

Answer:

A] Probability = 1/n ; B] Number = 8

Step-by-step explanation:

Total counters = n , Blue counter = 1 , Red counters (remaining) = n -1

A] Prob (One blue, & One red counter) = (Blue counter / Total counters) x (Red counters / Total remaining counters) = [1 / n] x [ (n -1) / (n-1)] = 1 / n

Alternative, Prob  (One red, & one blue) = (Red counter / Total counters) x (Blue counters / remaining counters) = [ (n-1) / n ] x [1 / (n-1) ]  = 1 / n

B] Prob (each color , a blue & red counter taken) = 0.125  {Given}

By A], this Prob = 1/n.

So, 0.125 = 1/n → n = 1 / 0.125 = 8

275^2 please answer this question​

Answers

Answer:

75,625

Step-by-step explanation:

Triangle ABC has side lengths a=74.1, b= 60.8, c=114.2. What is the measure of angle C?
a. 35.9°
b. 28.8°
c. 96.4°
d. 115.3°

Answers

Given:

In triangle ABC, a=74.1, b= 60.8, c=114.2.

To find:

The measure of angle C.

Solution:

According to the Law of cosine:

[tex]\cos C=\dfrac{a^2+b^2-c^2}{2ab}[/tex]

Substituting [tex]a=74.1,b= 60.8,c=114.2[/tex], we get

[tex]\cos C=\dfrac{(74.1)^2+(60.8)^2-(114.2)^2}{2(74.1)(60.8)}[/tex]

[tex]\cos C=\dfrac{5490.81+3696.64-13041.64}{9010.56}[/tex]

[tex]\cos C=\dfrac{-3854.19}{9010.56}[/tex]

[tex]\cos C=-0.42774145[/tex]

Taking cos inverse on both sides, we get

[tex]C=\cos^{-1}{-0.42774145}[/tex]

[tex]C=115.324312[/tex]

[tex]C=115.3^\circ[/tex]

Therefore, the correct option is d.

AREA OF CIRCLES PLS HELPP​

Answers

Answer:

r = 3 ft

Step-by-step explanation:

A = πr²

9π = πr²

9π/π = r²

9 = r²

√9 = r

3 = r

Hope this helps!

20 points pls answer

Answers

The answer to the first one is 0.879 and the second is 50%

A volume of the cone is (1/3) the volume of a cylinder. The volume of the sphere is what fraction of the volume of the cylinder?

Answers

Answer:

4/3

Step-by-step explanation:

To know this, let's write down the formulas for the volume of cylinder and sphere.

Vs = 4/3πr³   (1)

Vc = π r² h    (2)

Now, we do have a little problem here and its the fact that the sphere do not have a height like the cylinder do. But in this case so if you want to have an idea of the fraction of the volume, we will assume that the cylinder has the same height as its radius. Assuming this we have the following:

Vs / Vc = 4πr³ / 3πr²h

Vs/Vc = 4πr³ / 3πr³

From here, we can cancel out the values of π and r³:

Vs/Vc = 4/3

Vs = 4/3 Vc

Thus we can conclude that the volume of the sphere is 4/3 the volume of a cylinder.

Hope this helps

alright hear me out... why is the word dictionary in the dictionary? ಠ_ಠ

Answers

cause a dictionary contains all known words including dictionary..my turn!.look in the comments!

what 10+10+10+10+10+10+9=

Answers

10+10+10+10+10+10+9=69

Answer:

its simple girl;;;;;

ans=69

(Ohh dear don't leave the question with this big pts!!! )

Brenna is constructing a circle inscribed in a triangle. She has partially completed the construction, as shown below. What should be her next step in the construction?


Connect vertex B to the arc marking to complete the angle bisector


Find the angle bisectors for angles A and B


Connect three arc markings together to form the triangle


Use the incenter to determine the center to construct the circle

Answers

The construction is missing, so i have attached it.

Answer:

Use the incenter to determine the center to construct the circle.

Step-by-step explanation:

From the attached image, we can see that the 3 bisector of the three interior angles in the triangle intersect at a point. This point is known as the incentre of the triangle.

Now, to draw an inscribed circle inside the triangle, we will draw a perpendicular line from the incentre to any of the 3 sides and we will use the incentre as centre to draw the circle to touch each of the 3 perpendicular points.

6. Find both solutions by factoring
): 3x^2 + 10x + 7 = 0

Answers

both solutions:
x = -1, -7/3
Other Questions
PLZ HELP MEEEEEEEEEEEEEE why does solid silver, Ag, conducts electricity while solid silver chloride, AgCl, does not. If A is the reference angle, which side is the opposite? ABBCACExplain your thinking. Ann is studying acid base neutralization reactions and mixes sodium hydroxide and hydrochloric acid. The reactants were clear,colorless solution and mixing them produces a clear, colorless final solution and the beaker becomes warm. She knows this reactionforms liquid water and an aqueous salt based on the neutralization rules as shown by the chemical equation. What physical evidenceindicates that there has been a chemical reaNaOH(aq) + HCl(aq) - NaClaq) + H2 C) 40)A)The solution changes color.B)Precipitate formation occurs.C)The beaker changes temperature.D)Gas bubbles form during the reaction. In the first region are located 6 Rattatta Pokemon hidden in the grass at any given time and 8 Pidgey Pokemon. What would be the probability of running a Rattatta Pokemon? There are 24 female performers in a dance recital. The ratio of men to women is 2:3. How many men are in the dance recital? please help me i'll mark brainliest. Which of the following describes the functions of the liver?I. It cleans the blood by removing wastes and harmful substances.II. It helps with digestion of food.III. It produces bile. I and II I and III II and III I, II, and III PLEASE I NEED HELP SSSAASNOT CONGRUENT SASASA What is 9 - 10 as a decimal number Why do we need to have balanced diets? HELP PLZ! The question is, How can we see the impact of the reconstruction plan in the U.S. today? This is an ASSESSMENT that I have to take tomorrow and it's a discussion assessment which means I need lots of evidence and detail. I will obvi mark brainiest for the best answer, plz plz plz take your time answering this, MAKE IT GOOD PLZ I'm getting graded on what I say!!! (This has to deal with the 13, 14, and 15 amendment and green book and him crow laws stuff too) Carla is solving a math problem. Which answer shows the equation and solutionto x times 3 plus 4 equals 16? *3x + 16 = 4; x = -43x + 4 = 16; x = 43x = 4 + 16; x = 2/33(x + 4) = 16; x = 4/3 Which of these best explains the difference between the way animals and plants exchange gases with their environment? * 2 points A)Animals use only respiration, while plants use both photosynthesis and respiration. B) Animals use only photosynthesis, while plants use both photosynthesis and respiration. C)Animals use both photosynthesis and respiration, while plants use only respiration. D) Animals use both photosynthesis and respiration, while plants use only photosynthesis. 3. Two body systems work together to help remove waste products from blood. Whatare these two systems?a. Respiratory and excretoryb. skeletal and digestivec. circulatory and reproductive d. nervous and excretory How does scout react to the people in the gallery of the courtroom standing? Which expression is equivalent to 128? Find the sum of the first 10 terms for the following sequence: a = {-1, 2, 5, ... } what is the value of x in 40,000 = 10x g? Can some plaz help me with this project ASAP WILL GIVE BRAINLIEST IF ACTUAL EFFORT PUT IN AND DECENT LENGTHPopulation GrowthProject: Analyzing Factors That Affect Carrying Capacity and BiodiversityIn this assignment, you will use simulations to analyze how climate, resources, and habitat size affectcarrying capacity. You will then look at another simulation to analyze the effects of certain factors thataffect biodiversity and populations. Finally, you will write and revise a conclusion on how human activityaffects biodiversity.Background InformationPopulation growth is the change in size of a group of organisms of the same species over time. It isaffected by four factors: birth rate, death rate, immigration, and emigration.Carrying capacity is the maximum total population that an area can support. Carrying capacity limitspopulation growth and is affected by competition for food, water, shelter, or mates, and threat ofpredators, disease, and parasites. Carrying capacity may be affected by one or a combination of thesefactors.Biodiversity is the total variety of organisms that live in the biosphere. Biodiversity is affected by the lossof habitat, introduction of invasive species, pollution, and/or human activities.