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zavuch27 [327]
3 years ago
9

(-3 √-9)^2 write your answer in standard form a ib

Mathematics
1 answer:
Brilliant_brown [7]3 years ago
4 0
If you would like to write <span>(-3 + √-9)^2 in a standard form a + i * b, you can do this using the following steps:

</span>(-3 + √-9)^2 = (-3)^2 - 2 * 3 * √-9 + (<span>√-9)^2 = 9 - 6 * 3 * i - 9 = 0 - 18 * i = -18 * i
</span>
The correct result would be -18 * i.
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Which statements about the hyperbola are true? Check
gregori [183]

Answer:

Options (1), (2), (4) and (5) are correct.

Step-by-step explanation:

Characteristics of the given hyperbola,

1). Vertex of the given hyperbola are at (-3, 6) and (-3, 4).

2). Since center of a hyperbola is the center of a line joining vertices of the hyperbola,

Center of the given parabola will be,

(\frac{-3-3}{2},\frac{6+4}{2}) ⇒ (-3, 5)

3). Vertical line joining the foci of the hyperbola is the transverse axis.

4). A line perpendicular to the transverse axis and passing through the center will be the conjugate axis.

5). Directrices of a horizontal hyperbola are the horizontal lines.

Therefore, Options (1), (2), (4) and (5) are correct.

3 0
3 years ago
Grace spent 15 minutes on her math homework. That was 30% of the total number of minutes she spent doing homework. How many minu
Schach [20]

50 minutes

given 30% we require to find 100%

divide 15 minutes by 30 to obtain 1% and multiply by 100 for 100%

time = 15 × \frac{100}{30} = 50 minutes


6 0
4 years ago
In circle k, what is the value of x? <br><br> A: 18<br> B: 20<br> C:36<br> D:90
mixer [17]

If a triangle is inscribed in a circle such that one side of that triangle is a diameter of the circle, then the angle of the triangle that is opposite the diameter is a right angle.

Therefore we have the equation:

5x = 90      <em>divide both sides by 5</em>

x = 18

<h2>Answer: A: 18</h2>
8 0
4 years ago
A stock was priced at $12 3/8 per share. It rose in price by $3 1/4 per share. What was its new price?
lubasha [3.4K]

Option A

The new price is $ 15 \frac{5}{8}

<h3><u>Solution:</u></h3>

Given that, a stock was priced at $ 12 \frac{3}{8} per share.

It rose in price by $ 3 \frac{1}{4} per share.

New price = old price + rise in price

Thus to find out the new price, we have to add old price and rise in price

\text { So, new price }=\$ 12 \frac{3}{8}+\$ 3 \frac{1}{4}

\text { New price }=\frac{12 \times 8+3}{8}+\frac{3 \times 4+1}{4}

On solving we get,

\text { New price }=\frac{96+3}{8}+\frac{12+1}{4}

\begin{array}{l}{\text { New price }=\frac{99}{8}+\frac{13}{4}=\frac{99+26}{8}} \\\\ {\text { New price }=\frac{125}{8}}\end{array}

On converting to mixed fraction,

\begin{array}{l}{\text { New price }=\frac{120+5}{8}} \\\\ {\text { New price }=15 \frac{5}{8}}\end{array}

Hence, the new price is 15 \frac{5}{8}, so option A is correct.

8 0
4 years ago
What slope equals -1 and y intercept equals 3
Vlad [161]

Answer:

y = -x + 3

Step-by-step explanation:

The equation of a line with slope equal to -1 and y-intercept equal to 3 has the form

y = mx + b.  With m = -1 and b = 3, we get:  y = -x + 3

Think about this problem, please.  Is there any way in which you could be clearer about what you wanted to learn?

3 0
3 years ago
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