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FromTheMoon [43]
2 years ago
15

X^3-2x^2+5x-10=0 how do you solve or factor this polynomial?

Mathematics
1 answer:
pshichka [43]2 years ago
7 0

\bf x^3-2x^2+5x-10=0\implies \stackrel{\textit{doing some grouping}}{(x^3-2x^2)+(5x-10)}=0 \\\\\\ \stackrel{\textit{common factoring}}{x^2\underline{(x-2)}+5\underline{(x-2)}}=0\implies \stackrel{\textit{more common factoring}}{\underline{(x-2)}(x^2+5)}=0 \\\\[-0.35em] ~\dotfill\\\\ x-2=0\implies x=2~~~~\textit{\large\checkmark} \\\\[-0.35em] ~\dotfill\\\\ x^2+5=0\implies x^2=-5\implies x=\sqrt{-5}\implies x=i\sqrt{5}\quad \bigotimes

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Polygon a b c d is shown with exterior angles. exterior angle a is 25 degrees, exterior angle b is 146 degrees, and exterior ang
Kaylis [27]

The measure of angle bcd of the polygon abcd is 40°.

Hence, option b) 40° is the correct answer.

<h3>What is a polygon?</h3>

A polygon is simply a two-dimensional a plane shape enclosed by line segments called sides.

The sum of the exterior angles of a regular polygon will always equal 360

Given that;

  • Exterior angle a = 25 degrees
  • Exterior angle b =  146 degrees
  • Exterior angle d = 149 degrees
  • Exterior angle c = ?

25° + 146° + 149° + c = 360°

320° + c = 360°

c = 360° - 320°

c = 40°

The measure of angle bcd of the polygon abcd is 40°.

Hence, option b) 40° is the correct answer.

Learn more about polygons here: brainly.com/question/22408868

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8 0
1 year ago
Volume of a ice cream cone is about 65.94cm^3 if the raduius of the cone is 3cm what is the height of cone
kodGreya [7K]
The volume of a cone is
\pi {r}^{2} (h \div 3)
since V=65.94 and r=3, you just plug it in and solve for h which results to 6.996cm
8 0
3 years ago
Winnie poured 14 cups of water into a rectangular container measuring 13 inches by 7 inches by 6 centimeters. [1 cup = 14.44 cub
Alex_Xolod [135]
Part A: 
<span>Max volume = Volume of container = 13 in x 7 in x 6 in = 546 in^3 </span>

<span>Part B: </span>
<span>1 cup = 14.4375 in^3 </span>
<span>
14 cups = 14.4375 in^3 x 7 = 202.125 in^3 </span>

<span>Part C: </span>
<span>Height of water = (202.125 in^3)/(13 in x 7 in) = 2.22 in.</span>
8 0
3 years ago
What values of a and b make the equation true? StartRoot 648 EndRoot = StartRoot 2 Superscript a Baseline times 3 Superscript b
kramer

Option C: a=3, b=4 is the value of a and b

Explanation:

Given that the expression \sqrt{648}=\sqrt{2^a\times3^b}

We need to determine the value of a and b

Let us consider the term \sqrt{648} and take the prime factorization of the term 648

Thus, we have,

648 divides by 2,

648=2 \cdot 324

324 divides by 2,

648=2 \cdot 2 \cdot 162

162 divides by 2,

648=2 \cdot 2 \cdot 2 \cdot 81

81 divides by 3,

648=2 \cdot 2 \cdot 2 \cdot 3 \cdot 27

27 divides by 3,

648=2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 9

9 divides by 3,

648=2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 3 \cdot 3

Thus, we have,

\sqrt{648}=\sqrt{2^{3} \cdot 3^{4}}

Therefore, equating the powers of 2 and 3, we get,

a=3, b=4

Hence, the value of a and b is 3 and 4

Thus, Option C is the correct answer.

4 0
3 years ago
Read 2 more answers
What is 2+2+6+7+7+9+6+7+5​
pentagon [3]

Answer:

The answer would be 51

4 0
3 years ago
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