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Virty [35]
3 years ago
13

What is the conjugate of the product (2 - i)(1+2i)?

Mathematics
1 answer:
ivann1987 [24]3 years ago
8 0

Answer:

4-3i is the answer.......

Explanation

<u>Product</u>

(2-i)(1+2i) = 2+4i-i-2i²

= 2+4i-i+2

= 4+3i

conjugate of 4+3i is 4-3i

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The radius of a circle is 8 feet. What is the area of sector bounded by a 90° arc?
Lera25 [3.4K]

Since 90 degree is 1/4 of a circle, the area will be 1/4 th area of the full circle.

The radius is given by, r = 8 ft, therefore, the area of the full circle is,

\begin{gathered} A=\pi\times r^2 \\ A=3.14\times8^2=200.96ft^2 \end{gathered}

Therefore, the area of the sector is,

A^{\prime}=\frac{1}{4}\times200.96ft^2=50.24ft^2\begin{gathered} A^{\prime}=\frac{\theta}{360}\times\pi\times r^2 \\ \text{ =}\frac{\text{90}}{360}\times\pi\times8^2 \\ \text{ =}\frac{1}{4}\pi\times64=16\pi \end{gathered}

4 0
1 year ago
HELP PLEASE! PRE-ALGEBRA!
serious [3.7K]

Answer:

Triangle ABC is similar to triangle A prime B prime C prime., because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 2. and then rotating it about the origin by 180 degrees

Step-by-step explanation:

Step 1: Dilation by a scale factor of 1/2.

A point (x, y) is sent to (1/2 x, 1/2 y).

A(2, 2) ---> (1, 1)

B(2, 10) ---> (1, 5)

C(8, 12) ---> (4, 6)

Step 2: Rotate about the origin 180 degrees

A point (x, y) is sent to (-x, -y).

(1, 6) --->  A'(-1, -1)

(1, 5) --->  B'(-1, -5)

(4, 6) ---> C'(-4, -6)

6 0
3 years ago
PLZ HELP THANKS! Find the equation of the line passing through the pair points (-8,6) (-9,-9). The equation of the line in the f
timurjin [86]

Answer:

The answer is

<h2>15x - y = - 126</h2>

Step-by-step explanation:

To find the equation of the line we must first find the slope (m)

m =  \frac{y2 - y1 }{x2 - x1}

So the slope of the line using points

(-8,6) (-9,-9) is

m =  \frac{ - 9 - 6}{ - 9 + 8}  =  \frac{ - 15}{ - 1}  = 15

So the equation of the line using point (-8,6) and slope 15 is

y - 6 = 15( x + 8)

y - 6 = 15x + 120

Writing the equation in the form

Ax+By=C

We have

15x - y = -120-6

The final answer is

<h3>15x - y = - 126</h3>

Hope this helps you

8 0
2 years ago
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So the students are on 5:6 ratio from volleyball to football, and we know there are 220 students in total.

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3 years ago
If the long tail is to the right, the distribution of the data is said to be: a symmetric distribution. a negatively skewed dist
natita [175]

Answer:

hi

Step-by-step explanation:

4 0
3 years ago
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