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3 years ago

Which of the following is equivalent to the expression below for x≠6?

Mathematics

1 answer:

nata0808 [166]3 years ago

6 0

Answer:

The fourth answer choice is the correct one: 2(x - 3)

Step-by-step explanation:

2x²-18x+36/x-6 should be factored, as follows:

2(x²-9x+18) / (x-6) = 2(x - 3) (x - 6) / (x - 6)

Substituting x = 6 would result in division by zero and is thus not allowed.

Remembering this, we can reduce 2(x - 3) (x - 6) / (x - 6) to 2(x - 3) for x≠6.

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The surface area of a right square pyramid is 50 square inches. If the sides of the base and the slant height of the pyramid are

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3 years ago

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Shown below is a blueprint for a rectangular kennel at a pet hotel.

yulyashka [42]

Answer:

The total length of fencing needed to enclose the kennel 74 feet.

Step-by-step explanation:

Given:

The blueprint of the rectangular kennel shows one side is 23 feet and another side is 14 feet.

As it is a rectangular shape, let the two sides be the length and the breadth of the rectangular kennel. i.e

$length = L = 23\ feet\\breadth = B = 14\ feet\\$

To find:

Total length of fencing needed is to enclose the kennel. i.e

Perimeter of a rectangular kennel = ?

Solution:

we have the formula for perimeter of a rectangle as giving below.

$\textrm{perimeter of rectangle} = 2(length + breadth) \\\textrm{total length of fencing} = 2( L+B)\\ \textrm{substituting the values of length and breadth we get}\\ \textrm{total length of fencing} = 2(23+14)\\=2\times37\\= 74\ feet$

Therefore,the total length of fencing needed to enclose the kennel 74 feet.

8 0

3 years ago

Factor completely 2x2 − 6x − 36.

gavmur [86]

To factor out completely, we should have reached the most simplified form,
first we should take out 2.
2(x2 - 3x - 18)
then we should factor out the inside of the parenthesis,
2(x - 6)(x + 3)
And that's the most simplified and factored out form.

The final answer is then the second option, <span>2(x − 6)(x + 3)</span>

4 0

3 years ago

tim and his brother are building towers out of blocks. Tim is using blue blocks that are 6 cm tall and his brother is using gree

Karolina [17]

The shortest possible height of tower is 24 cm.

Tim used 4 blue blocks and his brother used 3 green blocks.

Step-by-step explanation:

Given,

Height of blue block = 6 cm

Height of green block = 8 cm

We will take least common multiple to find the shortest possible height.

6 = 2*3

8 = 2*2*2

LCM = 2*2*2*3 = 24 cm

The shortest possible height of tower is 24 cm.

Number of blue blocks used = $\frac{24}{6} = 4$

Number of green blocks used = $\frac{24}{8} = 3$

Tim used 4 blue blocks and his brother used 3 green blocks.

Keywords: LCM, multiplication

Learn more about multiplication at:

#LearnwithBrainly

7 0

3 years ago