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
PLEASE ANSWER + BRAINLIEST!!
Drupady [299]
To solve this problem you must apply the proccedure shown below:
 1. You have the followin quadratic equation given in the problem above: <span>x^2+3x+1
 2. Therefore, you have:
 x^3+3x=-1

 (b/2)^2=(3/2)^2=9/4

 x^2+3x+9/4=-1+9/4
 (x+3/2)^2=5/4

 Therefore, as you can see, the answer is: </span>(x+3/2)^2=5/4
6 0
3 years ago
4/5 in decimal form?
madreJ [45]

Answer:

0.8 or 0.80

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
A travel trailer is bought at the price of $35,000. The price decreases at the rate of .25 every year (t). The exponential expre
Debora [2.8K]

Answer:

$ 8300 (Approximately)

Step-by-step explanation:

Given:

Initial price of the trailer is, P_0=\$35000

Rate of decrease per year is, r=0.25

The time in years is, t=5

The exponential expression for the decrease in price after 't' years is given as:

P=P_0(1-r)^t

Plug in all the given values and solve for 'P'. This gives,

P=35000(1-0.25)^5\\P=35000(0.75)^5\\P=35000(0.2373)\\P=\$8305.5\approx \$8300

Rounding it to the nearest whole number, the price of the travel trailer after 5 years is $ 8,300.

3 0
4 years ago
What is the address of the element 14 in Matrix D
MAXImum [283]

Answer:

A.)D23

Step-by-step explanation:


6 0
4 years ago
Read 2 more answers
SOME ONE HELP ME PLZ
Eva8 [605]

Answer:

Im bored wanna talk?

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • Area of a circle with a diameter of 6
    8·1 answer
  • The graph of a quadratic function with vertex (-3,2) is shown in the figure below . Find the domain and the range
    6·1 answer
  • Year .. Invention
    14·1 answer
  • What is 2x+y=12 3x-18=y
    8·1 answer
  • If a = − 65 and b = 8, the product of a x b models which rule for multiplying integers? What is the product?
    6·2 answers
  • Your answer<br> What is the greatest common factor of 12 and 24?<br> Your answer<br> 6
    11·1 answer
  • Solve for x parallel ​
    8·1 answer
  • 2 What is as a percentage? 50​
    7·2 answers
  • Can someone one talk with me in comments plz​
    7·2 answers
  • Can you plz help me....
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!