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
Sunny_sXe [5.5K]
3 years ago
14

2. Circle C, has center (0,0) and radius 2.

Mathematics
1 answer:
adell [148]3 years ago
8 0

Answer:

2. x ²  +  y ² =  4

3. x² + y² = 23

Step-by-step explanation:

The equation of a circle with center  

( a , b )  and radius  r  is:

( x − a )²   +  ( y − b ) ² =  r ²

Explanation:

Here,

 a = 0 ,  b = 0 ,  r = 2  

The equation is:

( x -0 ) ² +  ( y -0 ) ² =  ( 2  ) ²

that is:  x ²  +  y ² =  4  

Thus:

x ²  +  y ² =  4

3. Each point on a circle has the same distance from the center. This distance is the radius  r  of the circle.

 Here, ( -3 , 4 )  is a point on the circle, meaning that the radius of the circle is the distance between  ( 0 , 0 ) , the center, and  ( -3 , 4 ) .

thus  a circle centered on the origin will have an equation of:

x² + y² =r²

And,  ( -3 , 4 )  lies on the circle, we have:

(-3)² + (4)² = r²

9 + 14 = 23

substituting;

x² + y² = 23

You might be interested in
Please solve!!!!!!!!!!!
vivado [14]

Answer:

A=8x-8

B=5x+25

A=B(BEING corresponding angles)

8x-8=5x+25

8x-5x=25+8

3x=33

x=33/3

x=11

now 8x-8= 8×11-8

= 88-8

=80

5x+25= 5×11+25

=55+25

= 80

A=B#

4 0
2 years ago
Read 2 more answers
The diameter of a sphere is 4 centimeters.
ELEN [110]
The volume of a sphere refers to the number of cubic units that will exactly fill a sphere. The volume of a sphere can be found or calculate by using the formula V=4/3πr^3, where r represents the radius of the figure.

In this exercise is given that a sphere has a radius of 4 centimeters and it is asked to find its volume and use 3.14 as the value of π or pi. The first step would be substitute the values into the previous mention formula.

V=4/3πr^3
V=4/3(3.14)(4 cm)^3
V=4/3)(3.14)(64 cm^3)
V=267.9 cm^3
The volume of the sphere is 267.9 cubic centimeters.

7 0
3 years ago
Read 2 more answers
Help! Please and thank you!​
lys-0071 [83]

a) value of x:

ZX =(10x+9)°

122°=( 10x+9)

122 - 9= 10x

113= 10x

x = 113/10= 11.3 °

so answer is = 11.3°

b) measure of Arc XZ :

formula to find Arc= © angle÷360 x 2πr

A = 122÷360 x 2πr

A = 61/180x 2πr

A = 0.3388x2πr

A= 0.6776πr

4 0
3 years ago
Read 2 more answers
Daniel wants to buy cookies for her friends. The area of a cookie is 113.04 in2. What is the circumference of the cookie?
prisoha [69]

Answer:

The circumference of the cookie is 37.68 inches.

Step-by-step explanation:

We have,

The area of a cookie is 113.04 square inches.

It is circular in shape. The area of circle is given by :

A=\pi r^2

r is radius of circle

r=\sqrt{\dfrac{A}{\pi}} \\\\r=\sqrt{\dfrac{113.04}{3.14}} \\\\r=6\ \text{inch}

The circumference of circular shaped object is given by :

C=2\pi r\\\\C=2\times 3.14\times 6\\\\C=37.68\ \text{inch}

So, the circumference of the cookie is 37.68 inches.

7 0
3 years ago
Question 10 (7 points) d Elizabeth borrowed $20,000 for five years at a 5% annual interest rate, what is her monthly payment, to
zhenek [66]

Answer:

monthly payment is $377

C is the correct option.

Step-by-step explanation:

The formula for the monthly payment is given by

C=\frac{Prt(1+r)^n}{(1+r)^n-1}

Given that,

P =  $20,000

n = 5 years = 60 months

r = 0.05

Substituting these values in the formula

C=\frac{20000\cdot \frac{0.05}{12}(1+\frac{0.05}{12})^{60}}{(1+\frac{0.05}{12})^{60}-1}

On simplifying, we get

C=\$377.425\\\\C\approx \$377

Therefore, the monthly payment is $377

C is the correct option.

4 0
3 years ago
Other questions:
  • What is 9 + 10? This is hard homework
    11·1 answer
  • Answer both please !
    9·1 answer
  • When is the sum of two negative mixed numbers an integer
    12·1 answer
  • Whats the sum of Radical 18 and Radical 72?
    8·1 answer
  • Which relationship is always true for the angles x, y, and z of triangle ABC? A triangle is shown with a leg extending past the
    14·1 answer
  • I need some help please I’d really appreciate it this is due in 25 mins.
    7·2 answers
  • This is it guys thx!✨
    11·1 answer
  • Plz help me well mark brainliest if correct.................
    7·1 answer
  • Please take a look at the picture and answer it. :)
    15·1 answer
  • Answer the question in the screenshot
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!