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Llana [10]
3 years ago
11

Complete the square

Mathematics
1 answer:
Nesterboy [21]3 years ago
4 0

Answer:

vertex at (1, -3)

Step-by-step explanation:

When x = 0

y² + 6y + 1 = 0

y² + 6y +   = -1

y² + 6y + 9  = -1 + 9

(y + 3)² = 8   or    (-y - 3)² = 8

y + 3 = √8    or    -y - 3 = √8

y = - 3 +√8    or    y = -3 - √8

(0, - 3 +√8)   and (0, -3 - √8)

The mid point between these two is the average

y = ( - 3 + √8 +  -3 - √8) / 2 = - 3

y² + 6y + 8x + 1 = 0

(-3)² + 6(-3) + 8x + 1 = 0

9 - 18 + 1 = -8x

- 8 = -8x

x = 1

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The functions and g are defined as follows.
elena-s [515]

Answer:

- 27 and 7

Step-by-step explanation:

To obtain f(- 6) substitute x = - 6 into f(x), that is

f(- 6) = 4(- 6) - 3 = - 24 - 3 = - 27

To obtain g(- 3) substitute x = - 3 into g(x), that is

g(- 3) = - 3(- 3) - 2 = 9 - 2 = 7

6 0
4 years ago
(18 months). hi I'm gothy and I just needed help with this problem. you don't have to include the answer but I'd appreciate it​
natulia [17]

Answer:

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Step-by-step explanation:

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8 0
3 years ago
In line 73, the author compares Mrs. Deverell to
adell [148]

The correct option is (B) show that Mrs. Deverell continues to be diminished in her new home.

<h3>What does line 73 described?</h3>

In line 73, the author compares Mrs. Deverell to an "intimidated child" primarily in order to -

  • Mrs. Deverell had no part to perform in her forever residence with Angel—all housekeeping work were to be left to a servants alone, and all other obligations were to be taken over from Angel.
  • Mrs. Deverell would given situation wander all around house, bored, when she had nothing to do.
  • The author utilizes the metaphor of a scared child in this situation.
  • As a result, this analogy conveys to the reader Mrs. Deverell's limited status in her new home.

Therefore, according to the writer; in the line 73 the best description for the intimidated child is shown by option B.

To know more about the child, here

brainly.com/question/28154633

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5 0
1 year ago
a car can travel 19.6 miles for every 1 gallon of gasoline. calculate the number of miles the car can travel on 13.8 gallons of
lord [1]
I believe it 270.48 miles. 
6 0
3 years ago
What is the volume of a cylinder tank with diameter of 50cm and height of 80cm
stepladder [879]

Answer:

12566.37061435917

or

4000π

Step-by-step explanation:

the equation is 50π×80

this is because you have to find the area of the circle which is diameter times pi and then you multiply that by the height of the cylinder

5 0
3 years ago
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