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asambeis [7]
2 years ago
7

What is: ⅛ ( 64v + 24) =

Mathematics
2 answers:
Illusion [34]2 years ago
4 0

Answer:

8v + 3.

Step-by-step explanation:

1/8 * 64v  + 1/8 * 24

ELEN [110]2 years ago
3 0

Answer:

(8v+3)

Step-by-step explanation:

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Answer:

x= -33/2 or x=-16.5

Step-by-step explanation:

Expand the bracket

6(2x+3) = 2(5x-3)

12x+18=10x-15

Bring like terms together

12x-10x=-15-18

2x=-33

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2 years ago
What is another name for 23 ten thousands?
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<span>230,000

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63,825 in scientific notation
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3 years ago
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
2 years ago
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