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3 years ago

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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Ill give brainliest worth 40 points (if got right)

andrey2020 [161]

Answer:

78125

Step-by-step explanation:

5x5x5=125

5x5=25

25x125=3125

3125x25=78125

I think this is the answer

3 0

3 years ago

Which of the following expression is equivalent to a+(-b)

Leni [432]

Answer:

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5 0

3 years ago

Evaluate this exponential expression.

Levart [38]

Answer:

$(-27)^\dfrac{2}{3}$ = 9

Step-by-step explanation:

Given that,

Asn expression : $(-27)^\dfrac{2}{3}$

We need to evaluate the above expression.

We know that, $(-3)^3=-27$

So,

$(-27)^\dfrac{2}{3}=(-3)^{3\times \dfrac{2}{3}}$

$=(-3)^2\\\\=-3\times -3\\\\=9$

So, the value of $(-27)^\dfrac{2}{3}$ is 9. Hence, the correct option is (b).

8 0

3 years ago

HELPPP <br> Solve the equation <br> log (2x-3)=2

MaRussiya [10]

Answer:

2.5 or 5/2

Step-by-step explanation:

2x-3=2

2x=5 (both sides plus 3)

x=5/2 or 2.5(divid by 2 on both sides)

8 0

3 years ago

Please help and explain how you solved it. Thanks.

galina1969 [7]

Answer:

This is 0.14 to the nearest hundredth

Step-by-step explanation:

Firstly we list the parameters;

Drive to school = 40

Take the bus = 50

Walk = 10

Sophomore = 30

Junior = 35

Senior = 35

Total number of students in sample is 100

Let W be the event that a student walked to school

So P(w) = 10/100 = 0.1

Let S be the event that a student is a senior

P(S) = 35/100 = 0.35

The probability we want to calculate can be said to be;

Probability that a student walked to school given that he is a senior

This can be represented and calculated as follows;

P( w| s) = P( w n s) / P(s)

w n s is the probability that a student walked to school and he is a senior

We need to know the number of seniors who walked to school

From the table, this is 5/100 = 0.05

So the Conditional probability is as follows;

P(W | S ) = 0.05/0.35 = 0.1429

To the nearest hundredth, that is 0.14

3 0

2 years ago