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shusha [124]
3 years ago
7

Oblicz granicę ciągu (pierwiastek z (n^2+6)/2n+2).

Mathematics
1 answer:
kap26 [50]3 years ago
6 0

Answer:

umm what

Step-by-step explanation:

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Item 11
marysya [2.9K]

Answer:

4 ft higher

Step-by-step explanation:

Since the ladder is 10 ft long and its top is 6 feet high(above the ground), we find the distance of its base from the wall since these three (the ladder, wall and ground) form a right angled triangle. Let d be the distance from the wall to the ladder.

So, by Pythagoras' theorem,

10² = 6² + d²  (the length of the ladder is the hypotenuse side)

d² = 10² - 6²

d² = 100 - 36

d² = 64

d = √64

d = 8 ft

Since the ladder is moved so that the base of the ladder travels toward the wall twice the distance that the top of the ladder moves up.

Now, let x be the distance the top of the ladder is moved, the new height of top of the ladder is 6 + x. Since the base moves twice the distance the top of the ladder moves up, the new distance for our base is 8 - 2x(It reduces since it gets closer to the wall).

Now, applying Pythagoras' theorem to the ladder with these new lengths, we have

10² = (6 + x)² + (8 - 2x)²

Expanding the brackets, we have

100 = 36 + 12x + x² + 64 - 32x + 4x²

collecting like terms, we have

100 = 4x² + x² + 12x - 32x + 64 + 36

100 = 5x² - 20x + 100

Subtracting 100 from both sides, we have

100 - 100 = 5x² - 20x + 100 - 100

5x² - 20x = 0

Factorizing, we have

5x(x - 4) = 0

5x = 0 or x - 4 = 0

x = 0 or x = 4

The top of the ladder is thus 4 ft higher

7 0
3 years ago
A rectangular flower box holds 1232in^3 of soil. Find the length of the box if it is 22 in. long and 7 in wide
Studentka2010 [4]
The length of the flower pot is 8
7 0
3 years ago
Read 2 more answers
What is the slope of the line with points (-2,0) and (8,0)
Natali5045456 [20]
The answer is 10 because when you use the slope formula y^2 - y^1 divided by x^2 - x^1 and plug your points in you get 10/0 which makes the answer ten
5 0
3 years ago
Please can someone help ?
skelet666 [1.2K]
Yes What do you need help with ?
7 0
3 years ago
Simplify the expression by combining like<br> terms: Algebra 1
cricket20 [7]

Answer:

The number in the green box should be 3.

Step-by-step explanation:

c + 4 {c}^{2}  - 2 + 2c -  {c}^{2}  + 5 = 3 {c}^{2}  + 3c + 3

4 0
2 years ago
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