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2 years ago

(x - 1)(x4 + x3 + x2 + x + 1)

Mathematics

2 answers:

Andrei [34K]2 years ago

5 0

It would be x^5-1 fjjbdbxjwjxjs

Roman55 [17]2 years ago

5 0

(x-1) (x⁴+x³ +x² + x + 1)

= x⁵ + x⁴ + x³ + x² + x - x⁴-x³ -x² - x - 1

= x⁵-1

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The board of directors of a corporation must select a president, a secretary, and a treasurer. In how many possible ways can thi

pentagon [3]

Answer:

9,240 ways possible in which this can be accomplished if there are 22 members on the board of directors.

Step-by-step explanation:

Total number of available members in the board = 22

The number of posts chosen are a president, a secretary, and a treasurer.

For the Post of President:

The number of available options to choose a president = 22 options

For the Post of Secretary:

As we can not repeat the members because one person CANNOT hold two positions simultaneously.

The number of available options to choose a secretary = 21 options

For the Post of Treasurer:

As we can not repeat the members because two person CANNOT hold three positions simultaneously.

The number of available options to choose a treasure = 20 options

Now, the possible ways can this whole election be accomplished is the product of all possible options

= 22 option x 21 option x 20 option

= 9,240 ways

Hence, there are 9,240 ways possible in which this can be accomplished if there are 22 members on the board of directors.

4 0

3 years ago

Simplify (11 + 5i)(11 - 51)

Ede4ka [16]

Answer:

(146 + 0i)

Step-by-step explanation:

(11+5i)(11-5i)

The formula is :

(a+bi) • (x+yi) = ax+by•i^2+(ay+bx)i

and since i^2 = -1 it can be written as :

ax - by + (ay + bx) i

( 11 + 5i) • ( 11 - 5i) =

(146 + 0i)

hope this helped brainlest owo???

7 0

3 years ago

Read 2 more answers

Complete the sentence 0,5,1,6,2,7 _,_

Scorpion4ik [409]

3,8
That’s the answer Hope this helped

7 0

3 years ago

Use the information in the diagram to determine the height of the tree. The diagram is not a scale

dusya [7]

In the given diagram, we can note that the tree divides the hypotenuse of the triangle as well as the side where the tree is based into halves.

In a triangle, when a line is drawn joining between the midpoints of two sides, this line is always parallel to the third side and equals half its length.

Applying this concept to the given diagram here, we will find that the tree is joining the midpoints of two sides of the triangle. this means that the tree is parallel to the building and the height of the tree is half the height of the building.

Therefore:
height of tree = 0.5 * 120 = 60 ft

6 0

3 years ago

PLEASE HELP

nirvana33 [79]

You don't say whether this is a right triangle or not.

Assuming it is a right triangle, then we use the Pythagorean Theorem to determine the length of the hypotenuse:

(hypo) = (length of third side) = √(12^2 + 4^2) = √(144+16) = √160 = 4√10.

This is approx. 12.65 inches. Since this does not match any of the possible answer choices, we'll have to take a different approach to answering this question.

Given that 2 sides of the given triangle are 12 and 4 inches, respectively, we see that the 3rd side has to be longer than 8 inches; otherwise we'd have three line segments on the same line, not forming a triangle.

By this reasoning, 9 inches is the only possible answer that could be correct. With sides 12, 9 and 4 inches, the triangle would be obtuse and appear quite flat, but not be part of a straight line as with a third side of 8.

6 0

3 years ago