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
lesya [120]
3 years ago
13

Circle P is described by the equation (x−1)2+(y+6)2=9 and circle Q is described by the equation (x+4)2+(y+14)2=4. Select from th

e drop-down menus to correctly complete the statements. Circle Q is Choose... units to the Choose... of circle P and Choose... units Choose..Circle P is described by the equation (x−1)2+(y+6)2=9 and circle Q is described by the equation (x+4)2+(y+14)2=4. Select from the drop-down menus to correctly complete the statements. Circle Q is Choose... units to the Choose... of circle P and Choose... units Choose... it. Circle Q has Choose... circle P.. it. Circle Q has Choose... circle P.
Mathematics
1 answer:
xeze [42]3 years ago
4 0

Answer:

(a) Circle Q is 9.4 units to the center of circle P

(b) Circle Q has a smaller radius

Step-by-step explanation:

Given

P:(x - 1)^2 + (y + 6)^2 = 9

Q:(x + 4)^2 + (y + 14)^2 = 4

Solving (a): The distance between both

The equation of a circle is:

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

Where

Center: (h,k)

Radius:r

P and Q can be rewritten as:

P:(x - 1)^2 + (y + 6)^2 = 3^2

Q:(x + 4)^2 + (y + 14)^2 = 2^2

So, for P:

Center = (1,-6)

r = 3

For Q:

Center = (-4,-14)

r = 2

The distance between them is:

d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2

Where:

Center = (1,-6) --- (x_1,y_1)

Center = (-4,-14) --- (x_2,y_2)

So:

d = \sqrt{(1 - -4)^2 + (-6 - -14)^2

d = \sqrt{(5)^2 + (8)^2

d = \sqrt{25 + 64

d = \sqrt{89

d = 9.4

Solving (b): The radius;

In (a), we have:

r = 3 --- circle P

r = 2 --- circle Q

By comparison

2 < 3

<em>Hence, circle Q has a smaller radius</em>

You might be interested in
A museum groundskeepers is creating a semicircle statuary garden with a diameter of 30 feet. The fencing cost 9.25 per linear fo
malfutka [58]
It is equal to 277.5 

5 0
3 years ago
The average number of Instagram likes per day for Mr. Tutaks class was recorded and constructed into the following box plot
goldfiish [28.3K]

Answer:

Picture?

Step-by-step explanation:

4 0
3 years ago
Explain the difference between exponential growth and exponential decay
alexdok [17]
Exponential growth is the function
y =  a^{x} , a\ \textgreater \ 1
Exponential decay is the function
y = a^{x} , 0\ \textless \ a\ \textless \ 1
So, the basic difference is that in growth the base is more than 1, and in decay the base is more than 0 but less than 1.
8 0
3 years ago
35-4-2-13<br> O C5 (<br> 42) 13<br> o<br> D(<br> 64) -2-13
Radda [10]
Hmmm it’s D I think?
7 0
2 years ago
Read 2 more answers
What kind of quadrilaterals is this?
DanielleElmas [232]

Answer:

Trapezoid

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • The original price of a television is $500 you have a coupon for 25% off excluding tax what is the cost of the TV?
    7·1 answer
  • A company dyes two sizes of rugs. A small rug requires 4 hours for dyeing and a medium-size rug requires 6 hours for dyeing. The
    7·3 answers
  • Ling drove at speed of 45 Miles per hour for 225 miles. How many hours did she drive?
    10·1 answer
  • Which equations represent the line that is perpendicular to the line 5x − 2y = −6 and passes through the point (5, −4)? Select t
    12·2 answers
  • A study of voting chose 663 registered voters at random shortly after an election. Of these, 72% said they had voted in the elec
    13·1 answer
  • The volume of a cone is 300cm3 and the height is 10cm3
    11·1 answer
  • ANSWER FAST PLEASE
    11·1 answer
  • I NEED HELP ASAP ITS FOR MY SISTERRRRRRRRRRRRRRRR
    7·1 answer
  • Use the square root method to find the solutions to the quadratic equation 22
    11·1 answer
  • In 2010, the number of participants in a checkers tournament was 2.6 × 104 people. In 2013, the number of participants in a chec
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!