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Ber [7]
2 years ago
10

The product of two consecutive positive even integers is 8. Find the value of the greater integer.

Mathematics
1 answer:
monitta2 years ago
6 0

Answer:

4

Step-by-step explanation:

n and (n + 2)

Therefore,

n × (n + 2) = 8

n^2 + 2n = 8

n^2 +2n - 8 = 0

n^2 + 4n - 2n -8 = 0

n (n + 4) -2 ( n + 4)

(n - 2 ) ( n + 4)

Therefore,

n = -4 or + 2

But since n can't be negative, n = 2

substituting

(n+2) = 2+2 = 4

Therefore, the value of the greater integer is 4

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From the top of a 193 foot lighthouse the angle of depression to a ship in ocean is 14° how far is the ship from the base of the
Trava [24]

Answer:

774 feet.

Step-by-step explanation:

Let x represents how far the ship is from the base of the lighthouse.

We use the tangent ratio, which involves opposite over adjacent to find x.

\tan(14 \degree)  =  \frac{opposite}{adjacent}

\tan(14 \degree)  =  \frac{193}{x}

x =  \frac{193}{ \tan(14 \degree) }

x = 774.08

To the nearest whole number, the distance is 774 ft.

4 0
3 years ago
9 - 6+ 2. Find his mistake and<br> correct it.
Naya [18.7K]
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6 0
3 years ago
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while in a big city you visit the top of a skyscraper building that is 850 feet from the ground. from the top of the building, y
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Answer:

450

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3 0
3 years ago
How many terms are in the arithmetic sequence 7, 1, −5, …, −161?
uranmaximum [27]

Answer:

29

Step-by-step explanation:

The n th term of an arithmetic sequence is

• a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

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7 - 6(n - 1) = - 161 ← solve for n

7 - 6n + 6 = - 161

13 - 6n = - 161 ( subtract 13 from both sides )

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There are 29 terms in the sequence

5 0
3 years ago
Can someone please help me with this?
Lerok [7]
A, B, and C are correct. My bad.
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