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Ivenika [448]
3 years ago
8

Find the product and fill in the blanks to write in standard complex number form.

Mathematics
1 answer:
Semenov [28]3 years ago
7 0
Recall that i represents the square root of -1, so by squaring it we get -1.

(2 + 4i)(7 - 3i)

= 14 - 6i + 28i + 12
= 26 + 22i
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When using the binomial formula, which of the following is a correct step in the expansion of (x+y)^4 ?
avanturin [10]
Here is the expansion of <span>(x + y)n </span><span>for </span><span>n = 0, 1,…, 5</span><span> :</span>

<span>(x + y)0 = 1</span> 
<span>(x + y)1 = x + y </span>
<span>(x + y)2 = x 2 +2xy + y 2 </span>
<span>(x + y)3 = x 3 +3x 2 y + 3xy 2 + y 3 </span>
<span>(x + y)4 = x 4 +4x 3 y + 6x 2 y 2 +4xy 3 + y 4 </span>
<span>(x + y)5 = x 5 +5x 4 y + 10x 3 y 2 +10x 2 y 3 +5xy 4 + y 5 
</span>
hopefuly this helps you understand


7 0
3 years ago
In winter, the price of apples suddenly went up by$0.75 per pound. Sam bought 3 pounds of apples at the new price for a total of
White raven [17]

From the information given, the original price per pound was increased by $ 0.75
Let the original price be x, so the new price is x + 0.75

Sam bought 3 pounds of apples at new price and it cost him 5.88

so we form an equation:

3 (x + 0.75) = 5.88

3x + 2.25 = 5.88

3x = 5.88 - 2.25

3x = 3.63

x = 3.63 / 3

x = 1.21

Therefore the original price per pound is 1.21 dollars


4 0
3 years ago
Read 2 more answers
Please someone help me and do not just write anything explain thank you . use the information provided to write the vertex form
notka56 [123]
Ok, so user says that it should be solve for vertex not vertex form
(x,y)
to find the vertex of
y=ax^2+bx+c

the x value of the vertex is -b/2a
the y value is found by plugging in the x value for the vertex back into the original equation and evaluating


y=-2x^2-12x-28
a=-2
b=-12

xvalue of vertex is -(-12)/(2*-2)=12/-4=-3

x value of vertex is -3

plug backin for x
y=-2x^2-12x-28
y=-2(-3)^2-12(-3)-28
y=-2(9)+36-28
y=-18+8
y=-10

yvalue is -10
x value is -3

vertex is (-3,-10)
5 0
3 years ago
If 6 cubes with an edge length of 14 can fit the height of the prism, what is the height of the prism? Enter the missing part of
Paha777 [63]

Answer: 84\ \text{units}

Step-by-step explanation:

Given

The length of each cube is a=14\ \text{units}

If there are 6 cubes placed over each other, then the height achieved by the cubes is

\Rightarrow 6\times 14\\\Rightarrow 84\ \text{units}

7 0
3 years ago
Seven pupils take a test marked out of 10. The mean mark is 8, the median mark is 8, the modal mark is 7, the range of the marks
timama [110]
I believe that your answer is 2 pretty sure
3 0
4 years ago
Read 2 more answers
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