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kobusy [5.1K]
2 years ago
10

Solve by completing the square.

Mathematics
2 answers:
IRINA_888 [86]2 years ago
7 0

Answer:

-23.18, -0.82

Step-by-step explanation:

  • h² + 24h + 19 = 0
  • h²+2h*12+12²-125=0
  • (h+12)²-√125²=0
  • (h+12+11.18)(h+12-11.18)=0
  • (h+23.18)(h+0.82)=0
  • h+23.18=0 ⇒ h= -23.18
  • h+0.82=0 ⇒ h= -0.82
Colt1911 [192]2 years ago
7 0

Answer:

-23.18, -.82

Step-by-step explanation:

h^2 + 24h + 19 = 0

Subtract 19 from each side

h^2 +24h = -19

Take the coefficient of h

24

Divide by 2

24/2 =12

Square it

12^2 =144

Add this to both sides

h^2 +24h+144 = -19+144

(h+12)^2 =125

Take the square root of each side

sqrt((h+12)^2) =±sqrt(125)

h+12 = ±sqrt(125)

Subtract 12 from each side

h+12-12 = -12 ±sqrt(125)

h =-12 ±sqrt(125)

h = -12 - sqrt(125) = -23.18033989

h = -12 + sqrt(125) = -.819660113

To the nearest hundredth

-23.18, -.82

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I picked random so please help me
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Answer:

  A.  6, 24, 96, 384

Step-by-step explanation:

The recursive formula tells you that the next number in sequence is 4 times the previous one.

For first term 6, the second term is 4·6 = 24.

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2 years ago
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Naddik [55]
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2 years ago
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zheka24 [161]
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4 0
3 years ago
It takes a student 11 seconds to scan their hand at lunch. During one 30 min lunch period, approximately how many students can b
julia-pushkina [17]

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Divide both sides by 11 to get this new ratio

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1800*1 second: 1800*0.0909 person

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4 0
3 years ago
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Masteriza [31]

Answer:

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Step-by-step explanation

There are 5 squares and each has 25 so 75% is the answear

7 0
2 years ago
Read 2 more answers
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