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
vampirchik [111]
2 years ago
12

Complete the square to find the vertex of this parabola. y^2+6y+8x+1=0 ([?], [?])

Mathematics
1 answer:
Alinara [238K]2 years ago
7 0

Answer:

(1,-3)

Step-by-step explanation:

<u>Complete the squares</u>

<u />y^2+6y+8x+1=0\\\\y^2+6y=-8x-1\\\\y^2+6y+9=-8x-1+9\\\\(y+3)^2=-8x+8\\\\(y+3)^2=-8(x-1)

We now compare to the equation (y-k)^2=2p(x-h) where (h,k) is the vertex of the parabola. Hence, the vertex of the parabola is (1,-3).

You might be interested in
What is 522 divided by 5
Phoenix [80]

522\div5=(500+20+2):5=500:5+20:5+2:5\\\\=100+4+\dfrac{2}{5}=\boxed{104\dfrac{2}{5}}\ or\ 104\ and\ Rest\ 2.

6 0
4 years ago
Which of the equations below represents a line parallel to the x-axis? A. x=5 B. y=1/x C. y=x D. y=5
coldgirl [10]
I believe it’s D. Y=5
If it’s not right , I apologize
Good luck
5 0
3 years ago
Solve this problem please <br> x/3+6-2x=-6
Nikolay [14]

Answer:

36/5

Step-by-step explanation:

x/3 + 6 -2x = -6

multiply the whole equation by 3 to get rid of the denominator of the first x term.

x+18-6x = -18

move x terms to one side and numerical terms to the other, subtract 18 from both sides in this case

x+18-6x-18=-18-18

x-6x = -36

simplify

-5x = -36

divide both sides by -5 to isolate x

x = -36/-5

=36/5

3 0
4 years ago
How many permutations are there of the letters in the words (a) TRISKAIDEKAPHOBIA (fear of the number 13)? (b) FLOCCINAUCINIHILI
zubka84 [21]

Answer: Hello!

Let's start with the word TRISKAIDEKAPHOBIA wich has 17 letters (some of them repeat, but it does not matter in this problem)

We want to know how many permutations we can do with 17 letters: then think this way, Lets compose a word. The first letter of this word has 17 options, the second letter of the word has 16 options (you already took one of the set) the third letter of the word has 15 options, and so on.

The total number of permutations is the product of the number of options that you have for each letter, this is:

17*16*15*14*....*3*2*1 = 17! = 3.6e+14

(b) FLOCCINAUCINIHILIPILIFICATION now we have 30 letters in total, using the same reasoning as before, here we have 30! permutations; this is

30! = 2.65e+32

(c) PNEUMONOULTRAMICROSCOPICSILICOVOLCANOCONIOSIS: now there are 47 letters.

then P = 47! = 2.59e+59

(d) DERMATOGLYPHICS: here are 18 letters, then:

p = 18! = 6.4e+15

6 0
3 years ago
Urgent help needed...............
andreyandreev [35.5K]

Answer:

Option b is correct

\{x | x \neq \pm 7, x\neq 0\}.

Step-by-step explanation:

Domain is the set of all possible values of x where function is defined.

Given the function:

h(x) = \frac{9x}{x(x^2-49)}

To find the domain of the given function:

Exclude the values of x, for which function is not defined

Set denominator = 0

x(x^2-49) = 0

By zero product property;

x = 0 and x^2-49= 0

⇒x = 0 and  x^2 =49

⇒x = 0 and x = \pm 7

Therefore, the domain of the given function is:

\{x | x \neq \pm 7, x\neq 0\}

7 0
3 years ago
Read 2 more answers
Other questions:
  • Ray UW is the angle bisector of AngleVUT.
    8·2 answers
  • an airplane is cruising at an altitude of 40000 feet begins at a distant to land it loses altitude at a rate of 1500 feet per mi
    12·1 answer
  • How many ways can Hannah give three of her eight T-shirts to her younger sister?
    5·1 answer
  • Graph the line with the equation y=1/3x+1
    14·1 answer
  • 42 divided by 6 plus 5 by the power of 2
    15·2 answers
  • Can someone help me with number 10
    14·1 answer
  • Please help and ill mark brainliest!!! A 2-column table with 4 rows. Column 1 is labeled Store with entries A, B, C, D. Column 2
    6·2 answers
  • Plz help me!!!!!!!!!!!!!!!!!! all 3 problems plz
    11·1 answer
  • Can somebody help? Thank you.
    13·2 answers
  • Please help, thank you! I'll give brainliest to the correct answer with an explanation.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!