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kobusy [5.1K]
3 years ago
10

Solve by completing the square.

Mathematics
2 answers:
IRINA_888 [86]3 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]3 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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3 years ago
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Sin(x+20) - cos (2X+10)
Vladimir [108]

Answer:

X=20

Step-by-step explanation:

Sin(x+20)=cos(2x+10)

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8 0
3 years ago
Help? I will post another one in a sec
mafiozo [28]
Okay so take:

3.99×3=11.97 that's how much the magazines cost together

add the tax which is 1.02→ 11.97+1.02=12.99

12.99 is how much the tax and magazines were now you need to add the four sheets of stickers and add the coupon because the total was more and the total was 16.49 with the coupon and without it its 17.99

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EACH SHEET OF STICKERS COST 1.25 EACH





5 0
4 years ago
A box has dimensions of 17 in Long 1.3 ft wide and 8 inches high what is the volume of the Box the formula for the volume is V=
algol13
17*1.3*8 = 176.8in.^3
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6 0
3 years ago
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The area of a rectangle is 47.5 square centimeters. The
vodka [1.7K]
SHORT ANSWER: 84cm

Let width = w

Let length = w + 5

The area of a rectangle is found by multiplying its width by length and the problem states that the area is 84 cm2.

(Width)(Length) = 84

(w)(w + 5) = 84

w2 + 5w = 84

w2 + 5w - 84 = 0

(w + 12)(w -7) = 0

w + 12 = 0

w = -12

The width of a rectangle can't be NEGATIVE!!! Forget about that!

w - 7 = 0

w = 7

Now go back to naming the variables and replace the w with 7.

Length = w + 5 = 7 + 5 = 12

Width is 7 cm. Length is 12 cm.

Check it. Is 7 x 12 = 84? Yes.
7 0
3 years ago
Read 2 more answers
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