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Readme [11.4K]
3 years ago
8

Simplify the expression (6+I)(9-4i)

Mathematics
1 answer:
Vlada [557]3 years ago
4 0
54 - 24i + 9i + 4
(54 + 4) + (-24i + 9i)
58 - 15i
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find the area of a circle that has a diameter of 11inches approximate as 13.4 round your answer to the hundreth
Vinil7 [7]

To find the area of a circle you do pi (3.14) multiplied by the radius squared.

The radius is half of the diameter: 11 / 2 = 5.5in

The radius squared is 5.5^2 = 30.25

Then take the squared radius and multiply that by pi 30.25 * 3.14 = 94.985

So the area of the circle is about 94. 99 in.

Hope this helped! Mark as Brainliest please! :)))

3 0
3 years ago
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The table represents the start of the division of 8x^4+2x^3-7x^2+3x-2 by the indicated divisor. Find the quotient.
zloy xaker [14]
Answer: <span><span>2x² + x - 2</span> (the first option)

Explanation:

1) Question: divide 8x⁴+2x³-7x²+3x-2 by 4x² - x + 1

2) First term of the quotient

</span><span>  8x⁴ + 2x³ - 7x² + 3x - 2     | 4x² - x + 1
                                           ---------------------
 -8x⁴ + 2x³ - 2x²                   2x²
----------------------------------
           4x³ - 9x² + 3x - 2

3) Second term of the quotient:
</span>
<span>  8x⁴ + 2x³ - 7x² + 3x - 2     | 4x² - x + 1
                                           ---------------------
 -8x⁴ + 2x³ - 2x²                   2x² + x
----------------------------------
           4x³ - 9x² + 3x - 2
          -4x³ +  x² -   x
        ----------------------------
                  - 8x² + 2x - 2

4) third term of the quotient:
</span>
<span>  8x⁴ + 2x³ - 7x² + 3x - 2     | 4x² - x + 1
                                           ---------------------
 -8x⁴ + 2x³ - 2x²                   2x² + x - 2
----------------------------------
           4x³ - 9x² + 3x - 2
          -4x³ +  x² -   x
        ----------------------------
                  - 8x² + 2x - 2
                    8x²  - 2x + 2
                 -------------------------
                             0

5) Conclusion: since the remainder is 0, the division is exact and the quotient is </span>2x² + x - 2

You can verify the answer by multiplying the quotient obtained by the divisor. The result has to be the dividend.
5 0
3 years ago
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Kanye and jay wanted to see who could run faster in a minute.They both started in the same spot and ran in different directions.
Lena [83]

Answer:

Kanye run faster.

Step-by-step explanation:

Given that,

Time = 1 min = 60 sec

Suppose, we find the speed of kanye and Jay.

According to number line,

Kanye covers the -160m distance and Jay covers the 140 m distance.

Negative sign shows the opposite direction.

We need to calculate the speed of Kanye

Using formula of speed

v=\dfrac{d}{t}

Where, v = speed

d = distance

t = time

Put the value into the formula

v=\dfrac{160}{60}

v=2.66\ m/s

We need to calculate the speed of Kanye

Using formula of speed

v=\dfrac{d}{t}

Put the value into the formula

v=\dfrac{140}{60}

v=2.33\ m/s

The speed of kanye is more than jay.

Hence, Kanye run faster.

6 0
3 years ago
Solve each word problem using a system of equations. Use substitution or elimination.
nasty-shy [4]

Answer:

Step-by-step explanation:

x + 3y = 24.....multiply by -1

5x + 3y = 36

------------------

-x - 3y = -24 (result of multiplying by -1)

5x + 3y = 36

------------------add

4x = 12

x = 12/4

x = 3 <=======

x + 3y = 24

3 + 3y = 24

3y = 24 - 3

3y = 21

y = 21/3

y = 7 <========

4 0
3 years ago
Please help me with this literal equation!
ollegr [7]

Answer:

x = \frac{n-20}{3a}

Step-by-step explanation:

Given

\frac{3ax-n}{5} = - 4

Multiply both sides by 5

3ax - n = - 20 ( add n to both sides )

3ax = - 20 + n = n - 20

Isolate x by dividing both sides by 3a

x = \frac{n-20}{3a}

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3 years ago
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