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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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1-5x + 3y 45<br>2x+3y = 24​
Norma-Jean [14]

Answer:

The answer is 1-5x+135y

Step-by-step explanation: multiply the numbers 3 and 45 which give you 135

3 0
3 years ago
Kate buys 10 tickets to a show. She also pays a $5 Parking fee. she spent $35 to see the show. what is the equation to this prob
zepelin [54]

Answer:

(35 - 5)/10 = 3

Step-by-step explanation:

She paid 35 alltogether and 5$ was for parking, so we can subtract that. Then 30/10 is equal to 3 so she spent 3 dollars for each ticket!

5 0
3 years ago
Both students made a mistake.
Musya8 [376]
I’m so sorry! I hope you find the answer soon! I’m stressing out as well
5 0
3 years ago
Enter the range of values for x
Pavlova-9 [17]

<em>Greetings from Brasil...</em>

See the attached figure. The smaller the θ angle, the smaller the AB side will be. If the angle θ = 90º, then AB = 25. As θ < 90, then AB < 25

5X - 10 < 25

5X < 25 + 10

X < 35/5

X < 7

The AB side can be neither zero nor negative. So

5X - 10 > 0

5X > 10

X > 10/5

X > 2

<h3>2 < X < 7</h3>

8 0
3 years ago
Now Cathy is three times as old as Katie. In six years Cathy will be only twice as old as Katie. How old is each girl now?
BabaBlast [244]
Katie is 6; Cathy is 18!

X- Katie’s age now and 3x -Cathys age now
In 6 years, Katie is 12 and Cathy is 24.

2 x (X+6) = 3x + 6
2x + 12 = 3x + 6
6 = x
6 0
3 years ago
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