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Natali5045456 [20]
2 years ago
9

What is the product (1 – 6i) (-5 – 8i) ? PLEASE HELP QUICK!!!!!f

Mathematics
1 answer:
Svetlanka [38]2 years ago
3 0

Answer:

-53+22i

Step-by-step explanation:

You can simply use the FOIL method, but keep in mind that i^2=-1:

(1-6i)(-5-8i)\\(1)(-5)+(1)(-8i)+(-6i)(-5)+(-6i)(-8i)\\-5-8i+30i+48i^2\\-5+22i+48(-1)\\-5+22i-48\\-53+22i

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Surface area of this right prism
Sphinxa [80]

\qquad\qquad\huge\underline{{\sf Answer}}

\textsf{Let's calculate the surface area of given right prism}

\textbf{Area of Triangles :}

  • \sf{\dfrac{1}{2}\cdot 16\cdot 12}

  • \sf{8×12}

  • \sf96 \:  \: cm {}^{2}

\textsf{Since there are two triangles, }

\textsf{Area of Triangles = 96 × 2 = 192 cm²}

\textbf{Now, calculate the Areas of rectangles :}

  • \textsf{Area - 1 = 12 × 10 = 120 cm²}

  • \textsf{Area - 2 = 16 × 10 = 160 cm²}

  • \textsf{Area - 3 = 20 × 10 = 200 cm²}

\textsf{Now add them all :}

  • \textsf{120 + 160 + 200 + 192}

  • \textsf{672 cm²}

7 0
3 years ago
Read 2 more answers
Use the image above to write a conjecture about regular polygons and lines of symmetry
Tatiana [17]
To find conjecture about regular polygon, use the formula \frac{360}{n}

Where, n = number of sides of the regular polygone

1) Triangle
n =3
So, Conjecture of the triangle = \frac{360}{3} = 120

2) Square
n =4
So, Conjecture of the square = \frac{360}{4} = 90

3) Pentagone
n = 5
So, Conjecture of the pentagon = \frac{360}{5} = 72

4) Hexagone
n = 6
So, Conjecture of the pentagon = \frac{360}{6} = 60.
7 0
4 years ago
Read 2 more answers
A commercial aircraft gets the best fuel efficiency if it operates at a minimum altitude of 29,000 feet and a maximum altitude o
natita [175]

Answer:

x\geq 29,000  and  x\leq 41,000

Step-by-step explanation:

Let

x -----> the altitude of a commercial aircraft

we know that

The expression " A minimum altitude of 29,000 feet" is equal to

x\geq 29,000

All real numbers greater than or equal to 29,000 ft

The expression " A maximum altitude of 41,000 feet" is equal to

x\leq 41,000

All real numbers less than or equal to 41,000 ft

therefore

The compound inequality is equal to

x\geq 29,000  and  x\leq 41,000

All real numbers greater than or equal to 29,000 ft and less than or equal to 41,000 ft

The solution is the interval ------> [29,000,41,000]

5 0
3 years ago
Can someone PLEASE help me. No one will answer the question completely smh
Vesna [10]

Ok got it. If you have any questions just ask in the chat below :)

8 0
3 years ago
0.00084 in scientific notation
enyata [817]
.00084 in scientific notation is 8.4 × 10^-4
7 0
3 years ago
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