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Stels [109]
2 years ago
11

Find all real and complex solutions by completing the square.

Mathematics
1 answer:
Alisiya [41]2 years ago
4 0
Y^2+4y=-8
add 8 both sides
y^2+4y+8=0 in the form of ax²+bx+c=0
Factor it
by formula
-b+-(√b²-4ac)/2a
-4+-(√16-32)/2*1
-4+-(√-16)/2
-4+-4i/2
-2+-2i where√-1=i


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The line through (-2, 3) with slope 2/3 in point slope form​
Debora [2.8K]

Answer:

y - 3 = 2/3(x + 2)

Step-by-step explanation:

slope = 2/3

point-slope form --> y - y1 = m(x - x1)

y - 3 = 2/3(x - -2)

y - 3 = 2/3(x + 2)

point slope form of the line is y - 3 = 2/3(x + 2)

3 0
2 years ago
Read 2 more answers
A set of data items is normally distributed with a mean of 400 and a standard deviation of 60. Find the data item in this distri
Softa [21]

Answer:

The data item is X = 580

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 400 and a standard deviation of 60.

This means that \mu = 400, \sigma = 60

z=3

We have to find X when Z = 3. So

Z = \frac{X - \mu}{\sigma}

3 = \frac{X - 400}{60}

X - 400 = 3*60

X = 580

The data item is X = 580

6 0
3 years ago
Pls I need your helppppp
alexandr402 [8]

Answer:

3 6 9

8 16. 24

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Can anyone help me please?
Nadya [2.5K]

Answer:

s ≤ -18

Step-by-step explanation:

Multiply both sides of the inequality by -3. Since the multiplier is negative, you need to reverse the comparison symbol.

(-3)(-s/3) ≤ (-3)(6)

s ≤ -18

_____

If you multiply by a positive number, you don't need to reverse the symbol. Hence multiplying by 3 gives ...

-s ≥ 18

You can now add s to both sides:

0 ≥ 18 + s

and subtract 18 from both sides:

-18 ≥ s

Of course, this is the same relationship as ...

s ≤ -18

6 0
3 years ago
Help me please! I'd really appreciate it
Svetllana [295]
The ratio of the sides are the same. So 6/24=x/56. This leads to x being 14.
4 0
3 years ago
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