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
Svetllana [295]
3 years ago
12

#8 Identify the center and radius (x + 8) + (y – )2 = 49 please help

Mathematics
1 answer:
pochemuha3 years ago
5 0

Answer:

The answer to your question is Center = (-8, 6)   radius = 7

Step-by-step explanation:

Data

       (x + 8)² + (y - 6)² = 49

Center = ?

radius = ?

Process

1.- Write the standard form of a circle

      (x - h)² + (y - k)² = r²

2.- Compare the equation given with the standard form

The center of a circle = (h, k)

      h = -8    k = 6    r² = 49

                                r = √49

                                r = 7      

3.- Conclusion

Center = (-8, 6)   radius = 7

You might be interested in
Which expression is the equivalent
Gwar [14]
I think you are correct 
7 0
3 years ago
Prove each of the following statements below using one of the proof techniques and state the proof strategy you use.
pochemuha

Answer:

See below

Step-by-step explanation:

a) Direct proof: Let m be an odd integer and n be an even integer. Then, there exist integers k,j such that m=2k+1 and n=2j. Then mn=(2k+1)(2j)=2r, where r=j(2k+1) is an integer. Thus, mn is even.

b) Proof by counterpositive: Suppose that m is not even and n is not even. Then m is odd and n is odd, that is, m=2k+1 and n=2j+1 for some integers k,j. Thus, mn=4kj+2k+2j+1=2(kj+k+j)+1=2r+1, where r=kj+k+j is an integer. Hence mn is odd, i.e, mn is not even. We have proven the counterpositive.

c) Proof by contradiction: suppose that rp is NOT irrational, then rp=m/n for some integers m,n, n≠. Since r is a non zero rational number, r=a/b for some non-zero integers a,b. Then p=rp/r=rp(b/a)=(m/n)(b/a)=mb/na. Now n,a are non zero integers, thus na is a non zero integer. Additionally, mb is an integer. Therefore p is rational which is contradicts that p is irrational. Hence np is irrational.

d) Proof by cases: We can verify this directly with all the possible orderings for a,b,c. There are six cases:

a≥b≥c, a≥c≥b, b≥a≥c, b≥c≥a, c≥b≥a, c≥a≥b

Writing the details for each one is a bit long. I will give you an example for one case: suppose that c≥b≥a then max(a, max(b,c))=max(a,c)=c. On the other hand, max(max(a, b),c)=max(b,c)=c, hence the statement is true in this case.

e) Direct proof: write a=m/n and b=p/q, with m,q integers and n,q nonnegative integers. Then ab=mp/nq. mp is an integer, and nq is a non negative integer. Hence ab is rational.

f) Direct proof. By part c), √2/n is irrational for all natural numbers n. Furthermore, a is rational, then a+√2/n is irrational. Take n large enough in such a way that b-a>√2/n (b-a>0 so it is possible). Then a+√2/n is between a and b.

g) Direct proof: write m+n=2k and n+p=2j for some integers k,j. Add these equations to get m+2n+p=2k+2j. Then m+p=2k+2j-2n=2(k+j-n)=2s for some integer s=k+j-n. Thus m+p is even.

7 0
3 years ago
What is 6 divided by 131.4
zavuch27 [327]
Answer
0.045662100456621
6/131.4
8 0
3 years ago
Read 2 more answers
Hello, I need help with this math problem please
Marina86 [1]

Answer:

4c^2+7c-5=0

4c^2+7c=5

4c^2+7c=5

4c^2+7c-5=0\quad :\quad c=\frac{-7+\sqrt{129}}{8},\:c=\frac{-7-\sqrt{129}}{8}\quad \left(\mathrm{Decimal}:\quad c=0.54472\dots ,\:c=-2.29472\dots \right)

Hope This Helps!!!

4 0
2 years ago
Read 2 more answers
Patricia compró 10 estampillas de correos unas de $3.00 y otras de $1.00. Si pago con $18.00 en total. ¿Cuántas pago por cada un
Ganezh [65]

Answer:

Entonces Patricia necesitara 4 estampas de $3 dolares y 6 estampas de $1 dolar

Step-by-step explanation:

Cuatro estampas de tres dolares cada una es:

3 × 4 = 12

Ahora necesitamos encontrar  cuantas estampas mas Patricia puede comprar. Podemos hacer esto restando 12 a 18, que es el costo total de las estampas menos del valor encontrado

18 - 12 = 6

Ahora sabemos que Patricia necesita 6 dolares de estampas ($1 estampas) para acompletar las 10 estampas  dando un total de $18 dolares.

6 × 1 = 6 < sumar 6 de 12

12 + 6 = 18

Entonces Patricia necesitara 4 estampas de $3 dolares y 6 estampas de $1 dolar

6 0
3 years ago
Other questions:
  • Suppose you are going to graph the data in the table below. What data should be represented on each axis, and what should the in
    5·1 answer
  • Can I get some help on these please
    14·2 answers
  • A taxi charges a flat fee of 4.00 plus 2.25 per mile. How much will the taxi driver earn if he takes one passenger 4.8 miles and
    13·1 answer
  • Numbers like 10, 100, 1,000, and so on are called
    7·1 answer
  • 1 1/2 divide by 3/4 SHOW WORK
    12·1 answer
  • 1. The edge of a hemisphere is an ___________.
    8·1 answer
  • Help plzzzzz i will give brainlest to the right person
    12·2 answers
  • Free poi.nts but if you can figure this out:
    15·1 answer
  • The sum of 8 and t please
    10·1 answer
  • The map is going to be painted at the entrance of the campsite. It will be enlarged by a scale factor of 4. How many square inch
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!