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Elina [12.6K]
3 years ago
11

Find roots of the equation and state the multiplicity

Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
7 0

({x + 2})^{3}  =  {x}^{3}  + 6 {x}^{2} + 12x + 8
so the answer is
x =  - 2

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Help Please!!!!!!!!!!!<br><br> Questions 9 and 10
Sphinxa [80]

Answer:

Step-by-step explanation:

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1. ∠ACB ≅∠ECD ; vertical angles are congruent (A)

2. C is midpoint of AE ; given

3. AC ≅CE; midpoint divides the line segment in 2 congruent segments (S)

4.AB║DE; given

5. ∠A≅∠E; alternate interior angles are congruent (A)

6. ΔABC≅ΔEDC; Angle-Side-Angle congruency theorem

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1. YX≅ZX; given (S)

2. WX bisects ∠YXZ; given

3. ∠YXW≅∠ZXW; definition of angle bisectors (A)

4. WX ≅WX; reflexive propriety(S)

5. ΔWYX≅ΔWZX; Side-Angle-Side theorem

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2 years ago
I don’t know how to do this. can someone please help me :)
Kaylis [27]
The surface area of a cylinder is the sum of the area of the two ends and the lateral area.
.. surface area = 2*(end area) +(lateral area)
.. = 2*(π*r^2) +(2π*r*h)
.. = 2π*r*(r +h)
.. = 2*3.14*(8 in)*(8 in +8 in)
.. = 3.14*256 in^2
.. ≈ 803.8 in^2

The 3rd selection is appropriate.
8 0
3 years ago
A company has budgeted 5 1/4 hours to complete a project, with 1/3 of the time spent on research. How much time does the company
elena-s [515]

Given that a company budgeted 5 1/4 hours to complete a project, determine how much time they spent on research if they spent 1/3 of the total budget.

First, convert the budget from hours into minutes.

5 1/4 hours = 315 minutes

1 hour = 60 min

1/4 hour = 15 min

60 x 5 = 300

300 + 15 = 315

Then, divide the minutes by 3 or multiply it by 1/3.

315 / 3 = 105

315 x 1/3 = 105

Lastly convert to a mixed number.

1 3/4 hour

Thus, the company plans to spend 1 3/4 hours or 1 hour and 45 minutes on research.

7 0
3 years ago
A mother is 26 years older than her daughter. The daughter is one-third her mother's age. How old is each now? When will the mot
marshall27 [118]

Answer:

  • now: daughter: 13, mother: 39
  • then: daughter: 26, mother: 52

Step-by-step explanation:

If the daughter's age is 1/3 the mother's age, the difference in their ages is ...

  1-1/3 = 2/3

the mother's age. The daughter's age is half that (1/3 the mother's age), so the daughter's age is 26/2 = 13 years. The mother's age is 13+26 = 39 years, which is 3 times the daughter's age.

The daughter is 13 now; the mother is 39.

__

When the mother is twice as old, the daughter's age will be equal to their age difference: 26. The mother's age will be 26 +26 = 52

When the mother is twice as old, she will be 52, and the daughter will be 26.

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<em>Additional comment</em>

You can assign variables and write equations that will give you the same result. If you let d and m represent the daughter's age and the mother's age, respectively, you could write the system ...

  m = d +26

  d = m/3

Substituting for d, you get ...

  m = m/3 +26

  2/3m = 26 . . . . . . subtract m/3

Note that this is the relationship we came to in the discussion above.

__

When an age difference is given, you know it will remain the same throughout the problem. Everybody ages at the same rate, so the difference is constant. As we have done above, it is often useful to compare the age difference to the difference in ratio units. This tells you the size of a ratio unit.

3 0
2 years ago
What is the area of a circle with a radius of 12 feet?
Margarita [4]

Answer:

144 \times \pi = 452.38

3 0
2 years ago
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