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arlik [135]
3 years ago
14

Solve the following equation by completing the square. x2-18x+78=0

Mathematics
1 answer:
densk [106]3 years ago
7 0
The answer is 10.73 btw hope this helps
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PLEASE HURRY I HAVE 3 mins left Which relationship could be the one shown on the graph?
ss7ja [257]

Option A

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Sorry if i am wrong

4 0
3 years ago
Determine, to one decimal place, the length, width & height of the rectangular prism that would have the greatest volume, wi
Leya [2.2K]

Answer:

The length = The width = The height  ≈ 5.8 cm

Step-by-step explanation:

The volume of a rectangular pyramid, V = l × w × h

The surface area of the pyramid = 2 × l × h + 2 × w × h + 2 × l × w = 200

∴  l × h + w × h + l × w = 200/2 = 100

We have that the maximum volume is given when the length, width, and height are equal and one length is not a fraction of the other. Therefore, we get;

At maximum volume, l = w = h

∴ l × h + w × h + l × w = 3·l² = 100

l² = 100/3

l = 10/√3

Therefore, the volume, v = l³ = (10/√3)³

The length = The width = The height = 10/√3 cm ≈ 5.8 cm

7 0
3 years ago
Y = -4/3x − 1<br> y = 1/3x + 4
Tom [10]

Answer:

x = -3, y =3

Step-by-step explanation:

y = -4/3x - 1

y = 1/3x + 4 -------> 4y = 4/3x + 16

Adding the first equation and the new second equation together:

5y = 15 ------> y = 3

Plug y = 3 into one of the original equations:

3 = 1/3x + 4

-1 = 1/3x

x = -3

7 0
3 years ago
Stockholders' Equity Paid-In Capital: Common Stock, $120 Par (500,000 Shares Authorized, 400,000 Shares Issued) $ Excess over pa
Mashutka [201]

Answer:

$117,380,000

Step-by-step explanation:

Stockholders' Equity section of the balance sheet

Paid in capital:

common stock $120 Par (500,000 Shares Authorized, 400,000 Shares Issued)    = $120  * 400,000 = $48,000,000

Excess over par = $6,400,000

Paid in capital, common stock = $48,000,000 + $6,400,000 =$54,400,000

From sale of treasury stock =  $4,500,000

Sum total paid-in capital = $54,400,000 + $4,500,000 = $58,900,000

Retained earnings =$63,680,000

Treasury stock (40,000 shares at cost) = $5,200,000

Total stockholders’ equity =$58,900,000 + $63,680,000 - $5,200,000

= $117,380,000

7 0
3 years ago
Suppose you roll two number cubes. What is the probability of getting:
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Answer:

are a, b, and c the options or are they different questions?

8 0
2 years ago
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