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]
2 years ago
14

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

Mathematics
1 answer:
adell [148]2 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
Hshshjsjsjsjsjsjjsjs
Ulleksa [173]

Answer:

3 ÷ 8

Step-by-step explanation:

1. A fraction has two parts: a numerator and a denominator. The numerator is the dividend (the number that is to be divided by the divisor), and the denominator is the divisor (the number that is divided into the dividend).

2. Given the information above, we know that 3 is the numerator, and 8 is the denominator. This means 3 ÷ 8 = 3/8.

7 0
2 years ago
An architect plans to buy 8 stones spheres and 4 stone cylinders. For the same amount, she can buy 3 stone spheres and 7 stone c
skad [1K]
If I am doing this right it should be 22.18
5 0
3 years ago
Read 2 more answers
In the figure below, PDW and WTC are right triangles. The measure of WPD is 30°, the measure of WC is 6 units, the measure of WT
aliya0001 [1]

Answer:

PD = 12\sqrt{3}

Step-by-step explanation:

Using the tangent ratio in right Δ PDW and the exact value

tan30° = \frac{1}{\sqrt{3} }, then

tan30° = \frac{opposite}{adjacent} = \frac{WD}{PD} = \frac{12}{PD} = \frac{1}{\sqrt{3} } ( cross- multiply )

PD = 12\sqrt{3}

4 0
2 years ago
Read 2 more answers
Find two numbers that multiply to 16 and also add to -8
mash [69]

Answer:

-4,-4

Step-by-step explanation:

let the numbers be x and y.

x+y=-8

y=-x-8

xy=16

x(-x-8)=16

-x²-8x=16

x²+8x+16=0

x²+4x+4x+16=0

x(x+4)+4(x+4)=0

(x+4)(x+4)=0

x=-4,-4

5 0
3 years ago
Consider this population data set: 4,6,7, 11, 12, 18, 26, 23, 14, 31, 22, and 12. The values 11, 31, 22, and 12 constitute a ran
Andrej [43]

Answer:

The population mean is the sum of the 12 data set values divided by 12:

4 + 6 + 7 + 11 + 12 + 18 + 26 + 23 + 14 + 31 + 22 + 12 = 186.

Therefore the population mean = 186/12 = 15.5.

The sample mean is the sum of the 4 sample values divided by 4:

11 + 31 + 22 + 12 = 76.

Therefore the sample mean = 76/4 = 19.

The sample mean is more than the population mean by 19 - 15.5 = 3.5.

hope it helped

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • 4 red marbles, 6 blue marbles, and 9 yellow marbles. what is the ratio of red marbles to blue marbles
    7·2 answers
  • Brendan and carnal each made a bowl of punch. Carnal used 9 1/6 times as Brendan did. If Brendan used 1/3 of a cup of lemonade,
    10·1 answer
  • Jada has 7/8 cup of cheese. Her cheese bread recipe calls for 1/6 of chees. How many times can she make her recipe with the chee
    12·2 answers
  • Liam collected 18 pounds in f clovers tryig to find a four leaf clover. Hi w many ounces of clovers did he collect?
    14·1 answer
  • Please help! how much degrees did this rotate
    12·1 answer
  • Which function is equivalent to g(x) = 9x2-24x + 167
    10·1 answer
  • Can you guys help me?
    5·1 answer
  • Help me please
    9·1 answer
  • 49 7th graders and 35 8th graders show up at football tryouts choose a ratio that represents 7th to 8th graders at tryouts?
    10·1 answer
  • Solve this system of linear equations. Separatethe x- and y-values with a comma.13x = -21 - 6y- 8x = 36 + 6yEnter the correct an
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!