1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Basile [38]
2 years ago
11

What is the standard form of the equation of a circle whose diameter is 20 units and whose center is (−1,7)?

Mathematics
1 answer:
VARVARA [1.3K]2 years ago
4 0

Answer:

(x + 1)^2 + (y - 7)^2 = 100

Step-by-sep explanation:

Given:

Diameter of circle = 20 units

Center of circle = (-1, 7)

Standard form of the equation of a circle is expressed in the center-radius form as:

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

Where,

h = -1

k = 7

r = ½ of diameter = ½(20) = 10 units

Plug in the values into the equation

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

(x - (-1))^2 + (y - 7)^2 = 10^2

(x + 1)^2 + (y - 7)^2 = 100

You might be interested in
What is i^15 for imaginary numbers
allochka39001 [22]

Answer:

1^15 is 15

Step-by-step explanation:

7 0
3 years ago
Um homem está localizado a 300 m de uma estrada linear (reta). Nessa estrada está localizada a sua esposa a 500 m do homem. Ambo
lukranit [14]

Answer:

The distance of the restaurant from the man and woman = 312.5 m

Option C is correct.

A distância do restaurante do homem e da mulher = 312,5 m

A opção C está correta.

Step-by-step explanation:

English Translation

A man is located 300 m from a linear (straight) road. On that road his wife is located 500 m from the man. Both walk towards a restaurant that is on the road and is the same distance from the two. What is this distance in meters?

A) 400m

B) 300m

C) 312.5m

D) 325m

E) 87.5m

Solution

A diagram showing the scenario described, is presented the attached image.

From the attached image, x is the distance of the restaurant from both the man and the woman. So, there are two right angled triangles,

- The bigger one with hypotenuse 500 m and other side 300 m, the third side is calculated as

(Third side)² = 500² - 300² = 160000

Third side = 400 m

- The smaller right angled triangle, with hypotenuse x m and other sides 300 m & (400 - x) m

(400 - x)² + 300² = x²

160000 - 800x - x² + 90000 = x²

800x = 160000 + 90000 = 250000

x = (250000/800) = 312.5 m

Hence, the distance of the restaurant from the man and woman = 312.5 m

In Portugese/Em português

Um diagrama mostrando o cenário descrito é apresentado na imagem em anexo.

Na imagem em anexo, x é a distância do restaurante do homem e da mulher. Então, existem dois triângulos retângulos,

- Quanto maior com hipotenusa 500 me outro lado 300 m, o terceiro lado é calculado como

(Terceiro lado) ² = 500² - 300² = 160000

Terceiro lado = 400 m

- O triângulo angular direito menor, com hipotenusa x me outros lados 300 m & (400 - x) m

(400 - x)² + 300² = x²

160000 - 800x - x² + 90000 = x²

800x = 160000 + 90000 = 250000

x = (250000/800) = 312.5 m

Portanto, a distância do restaurante do homem e da mulher = 312,5 m

Hope this Helps!!!

Espero que isto ajude!!!

4 0
3 years ago
Let a = x2 + 4Rewrite the following equation in terms of a and set it equal to zero (x2+4)2+32=12x2+48
tester [92]

Answer:

x^4 - 4x^2 = 0

^.^

- Amanda

4 0
3 years ago
Show all work to solve by factoring 3x^2 − x − 2 = 0.
shtirl [24]

Answer:

The solutions are x=1 and x=-2/3

Step-by-step explanation:

we have

3x^{2}-x-2=0

Group terms that contain the same variable, and move the constant to the opposite side of the equation

3x^{2}-x=2

Factor the leading coefficient

3(x^{2}-(1/3)x)=2

Complete the square. Remember to balance the equation by adding the same constants to each side

3(x^{2}-(1/3)x+(1/36))=2+(1/12)

3(x^{2}-(1/3)x+(1/36))=25/12

Rewrite as perfect squares

3(x-(1/6))^{2}=25/12

(x-(1/6))^{2}=25/36

square root both sides

(x-(1/6))=(+/-)(5/6)

x=(1/6)(+/-)(5/6)

x=(1/6)(+)(5/6)=1

x=(1/6)(-)(5/6)=-2/3

4 0
3 years ago
Whats the answer to this
Alecsey [184]

Answer:

It's C E and F

6 0
3 years ago
Read 2 more answers
Other questions:
  • Darla and Mary shared a cash prize in the radio 4:5. Together they won a total of $54. Make a tape diagram to determine how much
    7·1 answer
  • When lines the bottom of her first pan with aluminum foil. The area of the rectangle piece of foil is 11 1/4 in.². Its length is
    12·1 answer
  • Mark knows that his yard is 214 times as long as it is wide. Which equation shows the length, in feet, of the fence that goes al
    6·1 answer
  • There were 16 dogs in line for the dog show parade. Popsie the poodle is the 12th dog in line. How many dogs are ahead of her? H
    15·2 answers
  • A car dealership has various combinations of vehicles in their car lot, all of which have an equally likely change of being sele
    13·1 answer
  • To get the value of an expression you add
    10·2 answers
  • CAN SOMEONE PLEASE GIVE ME A FULL EXPLANATION ON HOW TO DO THESE TYPES OF PROBLEMS BECAUSE I HAVE ABSOLUTELY NO IDEA ON HOW TO D
    12·2 answers
  • The boat company makes 4 boats in 20 days. At that rate, how many boats could they make in 30 days?
    14·2 answers
  • a person who take 40 paces to cover 20m finds that a square field has a side that is 520 paces long .calculate the length of the
    10·1 answer
  • Dalton and Connor each invest money. The function f(x) = 850(1.07)x models the value of Dalton’s account after x years. The func
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!