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ELEN [110]
3 years ago
8

What number should be added to both sides to complete the square? x^2 + 8x = 4

Mathematics
1 answer:
son4ous [18]3 years ago
8 0

Answer:

16

Step-by-step explanation:

x² + 8x = 4 ⇔ x² + 8x + 16 = 4 + 16 ⇔ x² + 2×4x + 4² = 20 ⇔ (x + 4)² = (2√5)²

Remark : (2√5)² = 20

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1.) Find the nth term of the sequence 1, 3, 7, 13, 21, 31… 2.) The three consecutive terms of an exponential sequence are the se
trasher [3.6K]

Answer:

1) xₙ = n² - (n - 1)

2) 1/4

Step-by-step explanation:

1)    1 = 1² - (1-1)

3 = 2² - (2-1)

7 = 3² - (3-1)

13 = 4² - (4-1)

...........

xₙ = n² - (n - 1)

2) three consecutive terms of an exponential sequence: x, rx , r²x

x: 2nd term of linear sequence

rx: 6th term of linear sequence      rx = x + 4d

r²x: 7th term of linear sequence     r²x = rx + d     d = r²x - rx

rx = x + 4 * (r²x - rx) = x + 4r²x - 4rx

4xr² -5rx + x = 0

x(4r² -5r + 1) = 0

x (4r - 1) ( r - 1) = 0

x = 0 or r = 1/4 or r = 1

if either x = 0 or r = 1      d will be equals to "0" everything became 0

So the only reasonable answer is r = 1/4

3 0
2 years ago
3. Find BD in the following diagram.<br><br><br> BD=
masya89 [10]

Answer:  BD = 28

<u>Step-by-step explanation:</u>

BC = 21, CD = 7             Given

BC + CD + BD                Segment Addition Postulate

21 + 7 = BD                     Substitution

28 = BD                          Add Like Terms

6 0
3 years ago
20 points to answer a estimate question
Keith_Richards [23]

Answer:

The total cost =  $714

Step-by-step explanation:

Given

  • Monitor cost = $287
  • Scanner cost = $58
  • Keyboard cost = $49
  • Printer cost = $320

The total cost can be determined by adding the costs of all the pieces of equipment.

Thus,

Total cost = Monitor cost + Scanner cost + Keyboard cost + Printer cost

                = $287 + $58 + $49 + $320

                = $714

Therefore, the total cost =  $714

4 0
2 years ago
Yesterday, the snow was 2 feet deep in front of Archie’s house. Today, the snow depth dropped to 1.6 feet because the day is so
IgorLugansk [536]

Answer: The depth of the snow has changed .4 inches. This is because it has melted in the warm weather. You can find the difference, by subtracting 1.6 from 2.          

Step-by-step explanation:

2 - 1.6= .4    .4 would be your answer

Hope it helps!!!!

4 0
3 years ago
If you have 24 months to save $4,220 how much would you have to save each month
gulaghasi [49]

Answer:

$175.83

Step-by-step explanation:

All you have to do is 4220 divided by 24 = $175.83

4 0
3 years ago
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