![thomascoop85](/avatars/2963.jpg)
thomascoop85
04.06.2020 •
Mathematics
Complete the square please.
Solved
Show answers
More tips
- H Health and Medicine What are Electronic Cigarettes? The Ultimate Guide...
- C Computers and Internet How to Get Rid of 3pic Infector: Everything You Need to Know...
- A Auto and Moto Experience the World of the Most Expensive Cars on the Planet...
- S Style and Beauty How to Get Rid of a Double Chin?...
- F Food and Cooking How to Cook Julienne? Recipes and Tips...
- D Dating, Love, Relationships 10 Useful Tips on How to Survive a Breakup?...
- F Food and Cooking Apple Cider Vinegar: The Ultimate Health and Beauty Solution...
- C Computers and Internet Е-head: How it Simplifies Life for Users?...
- F Family and Home How to Choose the Best Diapers for Your Baby?...
- F Family and Home Parquet or laminate, which is better?...
Answers on questions: Mathematics
- M Mathematics - Greg made $18 per hour doing yardwork. If he worked for 6 hours, how much money did he make?...
- M Mathematics Gnats 2 14 7 5 Flies 8 56 28 The equivalent ratios are 2 : 8, 14:56...
- M Mathematics Just know you are beautiful each and every day❤️...
- M Mathematics A.4/10 B.1/20 C.3/40 D.2/20...
- M Mathematics How far apart are 5 1/2, -7 1/2 and 5 1/2,- 1 1/2...
- M Mathematics 4. Angle B has been bisected because congruent triangles have been created. Complete the congruence statement. Make sure to provide a triangle congruence postulate or...
- M Mathematics ASAP NO JOKE TON OF POINTS PLEASE. GRAPH IT PLEASE , PLEASE...
- M Mathematics PLEASE HELP ME GET THIS RIGHT I BEG U...
- M Mathematics Find the value of z....
- M Mathematics Write an inequality for the graph. x -4 Which best describes all the values of x that make the inequality true?...
Ответ:
(x-3)^2 + (y+2)^2 = 9^2
Step-by-step explanation:
x^2 -6x+y^2+4y-68 = 0
Complete the square
x^2 -6x+y^2+4y-68+68 = 0+68
x^2 -6x+y^2+4y = 68
Find the term to add for x
-6 /2 = -3 -3^2 = 9
Find the term to add for y
4/2 =2 2^2 = 4
Add 9 and 4
x^2 -6x+9+y^2+4y+4 = 68+9+4
(x-3)^2 + (y+2)^2 = 81
(x-3)^2 + (y+2)^2 = 9^2
The standard form is
(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius
Ответ:
1134.62 (THE SUM OF 20 TERMS)
Step-by-step explanation:
First we write out our given information:
a8=2a2
a11=18
an is an arithmetic sequence.
Where here an means the nth term of our sequence.
What does an arithmetic sequence mean? It means to get to the next term in your sequence you add a constant (c) each time:
an+1=an+c
Equivalently:
an+1−an(n+1)−n=c
So an is of slope c (c2 is another constant):
an=cn+c2
Where here c2=a0 (Substitute in n=0 and see why that has to be the case if we let a0 exist)
Now we use the other given information to try to come up with a solution.
Let n=2:
a2=2c+c2
Let n=8, using the above equation we have:
a8=8c+c2=2a2=4c+2c2
Let n=11
a11=18
a11=11c+c2
But a11−a8=(11c+c2)−(8c+c2)=3c
Hence, a11=3c+a8
a11=3c+4c+2c2=18
a11=3c+8c+c2=18