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Amiraneli [1.4K]
4 years ago
15

Write (picture included) as a complex number in standard form.

Mathematics
1 answer:
vredina [299]4 years ago
6 0

Answer:

-9/4 -4i

Step-by-step explanation:

-3i + 3/4 + 2i -(3+ 3i)

The first step is to simplify the terms

-3i + 3/4 + 2i -(3+ 3i)

Now we distribute the negative sign

-3i + 3/4 + 2i -3- 3i

Now combine like terms

3/4 -3 -3i+2i -3i

-2 1/4 -4i

Change the mixed number to an improper fraction.

-(4*2+1)/4 -4i

-9/4 -4i

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The volume of a cube is 343mm3.<br> What is the length of its side?
stiv31 [10]

Answer:

Step-by-step explanation:

s is the length of each side of the cube

volume = s³

343 = s³

s = ∛343 = 7 mm

5 0
3 years ago
Read 2 more answers
What are the solutions of the quadratic equation below?<br><br> 3x2 - x = 11
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<span>x=<span><span>16</span>+<span><span><span><span>16</span><span>√133</span></span><span> or </span></span>x</span></span></span>=<span><span>16</span>+<span><span><span>−1</span>6</span><span>√<span>133  ---- Use the quadratic formula. </span></span></span></span>
7 0
4 years ago
If a and b are the roots of the quadratic equation 2r + 6x -7 = 0, form the equation with the following causes.
Pepsi [2]

Answer:

Step-by-step explanation:

Assuming the given equation is actually 2x^2+6x-7=0.

Then \alpha +\beta=-\frac{6}{2} =-3,and,\alpha \beta=-\frac{7}{2}

The sum of roots of the new equation is \frac{1}{2\alpha+1} +\frac{1}{2\beta +1} =\frac{2(\alpha+\beta+1)}{4\alpha \beta+2(\alpha +\beta)+1}

\implies \frac{1}{2\alpha+1} +\frac{1}{2\beta +1} =\frac{2(-3+1)}{4*-3.5+2(-3)+1} =\frac{4}{19}

The product of the roots of the new equation is \frac{1}{2\alpha +1}*\frac{1}{2\beta+1}=\frac{1}{4\alpha \beta+2(\alpha+\beta)+1}

\implies \frac{1}{2\alpha +1}*\frac{1}{2\beta+1}=\frac{1}{4*-3.5+2(-3)+1}   =-\frac{1}{19}

The new equation is given by:

x^2-(sum\:of\:roots)x+product\:of\:roots=0

x^2-\frac{4}{19} x-\frac{1}{19} =0

19x^2-x-1=0

6 0
4 years ago
Find the area of each circle. Round to the nearest tenth. Use 3.14 for π.
joja [24]

Answer:

1. 490.6 mm²

2. 14.1 ft²

Step-by-step explanation:

1. 3.14×(12.5)²= 3.14 × 156.25 =490.6mm²

2. ½×3.14×3²= 3.14×4.5= 14.1 ft²

3 0
3 years ago
Roger had $1200. He bought a phone with 0.4 of the money and a helmet with 0.5 of the remaining money. What is the amount of mon
Paul [167]

Answer:

the remaining money is $1189.22

Step-by-step explanation:

7 0
3 years ago
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