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
dem82 [27]
3 years ago
12

Find the center and radius of this circle. x2 + y2 − 40x − 24y + 15 = 0

Mathematics
1 answer:
Julli [10]3 years ago
5 0

ANSWER

Center: (20,12)

Radius:23

EXPLANATION

The given circle has equation:

{x}^{2}  +  {y}^{2}  - 40x - 24y + 15 = 0

We complete the square as follows:

{x}^{2}  - 40x +  {y}^{2}  - 24y =  - 15

{x}^{2}  - 40x +   {( - 20)}^{2} +  {y}^{2}  - 24y +  {( - 12)}^{2}  =  - 15+   {( - 20)}^{2}+  {( - 12)}^{2}

{(x - 20)}^{2} +  {(y - 12)}^{2}  =  - 15+   400+  144

{(x - 20)}^{2} +  {(y - 12)}^{2}  = 529

{(x - 20)}^{2} +  {(y - 12)}^{2}  =  {23}^{2}

Comparing this equation to:

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

We have

(h,k)=(20,12)

representing the center and

r = 23

being the radius.

You might be interested in
Plastic parts produced by an injection-molding operation are checked for conformance to specifications. Each tool contains 15 ca
Rainbow [258]

Answer:

(A) 0.006593 or 0.6593%

(B) 0.01538 or 1.538%

Step-by-step explanation:

The total number of possibilities to pick 3 parts out of 15 possible parts is given by the following combination:

n=\frac{15!}{(15-3)!3!}=\frac{15*14*13}{3*2*1}\\n=455\ ways\\

(A) There are only three possibilities for which the inspector finds exactly one nonconforming part (NCC, CNC, CCN). Therefore, the probability is:

P(N=1) = \frac{3}{455}=0.006593 =0.6593\%

(B) There are three possibilities  for which the inspector finds exactly one nonconforming part, three possibilities for two nonconforming parts (NNC, CNN, NCN), and one possibility for all nonconforming parts (NNN). The probability that the inspector finds at least one nonconforming part is:

P(N>0) =P(N=1)+P(N=2)+P(N=3) \\P(N>0) = \frac{3}{455}+ \frac{3}{455}+ \frac{1}{455}\\P(N>0) =0.01538 =1.538\%

5 0
3 years ago
Charles owns a catering business. The amount his 10 most recent clients spent is shown in the histogram below. Why is the graph
Alexxandr [17]
<span>The scales are different on the x-axis and the y-axis.
</span>Therefore, the correct answer choice is:
A. The x-axis scale shows the data is more clustered than it actually is.

5 0
3 years ago
Read 2 more answers
Type SSS, SAS, ASA, SAA, or HL<br><br> To justify why the two larger triangles are<br> Congruent.
lakkis [162]
I’m assuming the answer is HL since they only gave us two letters.
6 0
3 years ago
Describe how the shapes moves to get from its position in each frame from the next.
Colt1911 [192]

Answer:

Mark me as brain list plz for fun I need to get my expert rank

Step-by-step explanation:

There is no attachment to see any grams post then I will answer

3 0
2 years ago
Ella and three friends run in a relay that is 14 miles long.Each person runs equal parts of the race.How many miles does each pe
sergeinik [125]
Each Person Runs: 3.5 miles.
14÷4= 3.5.
3 0
3 years ago
Read 2 more answers
Other questions:
  • What is the measure of angle x?<br><br> m∠x= °
    6·2 answers
  • Conner bought a birthday card for $2.19,gift wrap for $3.89,and a game for $13.13. Estimate the total cost
    10·1 answer
  • kim has 1/2 cup of almonds. she uses 1/8 cup of almonds to make a batch of pancakes. how many bathces of panckes can kim make iw
    6·1 answer
  • Use complete sentences to describe the possible solution(s) to a system of equations that includes the equation of a circle and
    6·2 answers
  • Find the sum of the measure of the interior angles of the polygon below.
    10·1 answer
  • If you multiply me by 7 and then add 7 to the product, you get 6x7.
    12·1 answer
  • The volume of water in a tank is 0.7 cubic meter. Write this volume in cubic centimeter​
    12·1 answer
  • PLEASE HELP! I AM MARKING BRAINLIEST!
    14·1 answer
  • If c= 205 angle A=81 and angle B=50. b=
    8·1 answer
  • Uhmm...help please :&lt; i'll give brainliest to whoever answers all three
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!