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 school guidance counselor is researching the number of high school students who play an online video game that is aimed at muc
ycow [4]

Answer:

C is the answer

Step-by-step explanation:

3 0
3 years ago
O quadro de 3^5 é = contas
FrozenT [24]

3^5=243, good luck as far as I can understand the question

4 0
3 years ago
78*2345=? multiply please
PSYCHO15rus [73]
The answer to this question is:

182910
3 0
3 years ago
Read 2 more answers
Miss Gonzales opened an account with a deposit of $2,000,
Nesterboy [21]

Answer:

i think its 18%

8 0
3 years ago
Identify THREE vocabulary words that also refer to x-intercepts.
Marianna [84]

Answer:

X-intercepts are also called zeros, roots, solutions, or solution sets.

7 0
3 years ago
Read 2 more answers
Other questions:
  • A sphere has a diameter of 11 inches. What is it's surface area? Use 3.14 to approximate pie
    9·1 answer
  • Please help with synthetic division:
    13·1 answer
  • A grocery cart contains eggs for 89¢, bread for 95¢, fruit for $1.79, meat for $2.89, and vegetables for $1.29. What is the tota
    12·1 answer
  • Write -4i+(1/4-5i)-(-3/4+8i)+17i as a complex number in the standard form
    8·1 answer
  • At a restaurant, the bill comes to $44. If you decide to leave a 20% tip, how much total do you need to pay? Give your answer to
    11·1 answer
  • Need help fast...
    6·1 answer
  • The average distance of the Moon from Earth is 386,242,560 m. Represent 386,242,560 in scientific notation.
    8·1 answer
  • PLS HELP!!!!
    13·2 answers
  • WHAT ARE THE X AND Y INTERCEPTS FOR THIS?? <br><br>PLEASE ANSWERRRRR​
    7·1 answer
  • Can anyone help me with this question please? I want to finish it ASAP!
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!