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Alenkasestr [34]
2 years ago
6

Find a polynomial with integer coefficients that satisfies the given conditions.

Mathematics
1 answer:
stepladder [879]2 years ago
8 0
\bf \textit{difference of squares}
\\ \quad \\
(a-b)(a+b) = a^2-b^2\qquad \qquad 
a^2-b^2 = (a-b)(a+b)
\\\\\\
\textit{also recall that }~~~i^2=-1\\\\
-------------------------------\\\\
\begin{cases}
x=5+i\implies &x-5-i=0\\
x=5-i\implies &x-5+i=0
\end{cases}
\\\\\\
(x-5-i)(x-5+i)=\stackrel{\textit{original polynomial}}{0}
\\\\\\\
[(x-5)~~-~~i]~[(x-5)~~+~~i]=0\implies [(x-5)^2~~-~~i^2]=0
\\\\\\
(x^2-10x+25)~~-~~(-1)=0\implies x^2-10x+25+1=y
\\\\\\
x^2-10x+26=y
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2/10 clear and 18/100 orange. The rest are red and blue. There are 2 more red marbles than blue marbles. What fraction represent
romanna [79]

Answer:

33/100 red, 29/100 blue

Step-by-step explanation:

2/10=20/100

20+18=38

38/100 orange/clear marbles

100-38=62

62 red/blue marbles

62/2=31

31 blue, 31 red

"There are 2 more red marbles than blue marbles."

31-2=29

31+2=33

33/100 red, 29/100 blue.

4 0
3 years ago
A cone-shaped pile of sawdust has a base diameter of 38 feet, and is 14 feet tall. Find the volume of the pile
Romashka-Z-Leto [24]

Answer:

Given: Diameter of cone = 38 feet and height of cone = 14 feet.

Volume of cone V with radius r is one-third the area of the base B times the height h.

i,e  V = \frac{1}{3} B \cdot h = \frac{1}{3} \pi r^2h  ......[1]

,where B = \pi r^2

First find the radius(r);

Using Diameter(D) = 2r

38 =2r

Divide both side by 2 we get;

\frac{38}{2} =\frac{2r}{2}

Simplify:

19 = r

or r =19 feet

Now, substitute the value of r = 19 feet and h = 14 feet in [1]    [ Use value of  \pi = \frac{22}{7} ]

then, we have:

V = \frac{1}{3} \pi r^2h = \frac{1}{3} \cdot  \frac{22}{7} \cdot (19)^2 \cdot (14)

or

V = =\frac{1}{3}\cdot 22 \cdot 19 \cdot 19 \cdot  2 = \frac{22 \cdot 19 \cdot 19 \cdot 2}{3}

or

V = \frac{15884}{3} =5,294.66667 ≈ 5,294.67 cubic feet.

therefore, the volume of pile is; ≈ 5,294.67 cubic feet.


4 0
3 years ago
PLEASE HURRY !!
irakobra [83]

Answer:

49

Step-by-step explanation:

So it seems theres some sort of pattern. When you mutiply 7 by 3 you get 21. When you multply 5 by 7 you get 35. So basically 7 times 7 would be 49. Correct me if im wrong.

7 0
3 years ago
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Solnce55 [7]

Answer:

the answer is on google

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3 years ago
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