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Mathematics

2 answers:

bekas [8.4K]3 years ago

7 0

Answer:

2 9/32

Step-by-step explanation:

saul85 [17]3 years ago

5 0

Answer:

3 12/16

Step-by-step explanation:

The answer should be 3 12/16 or 2 and 3/4 although I am not 100% sure this is the answer this is how I got it. 10/16 + 5/32 = 10/16 + 10/16 = 20/16 = 1 4/16 + 2 = 3 4/16 + 1/2 = 3 and 12/16

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Factored completely, the expression 16k^2 + 16k + 4 is equivalent to

sergeinik [125]

16k^2 + 16k + 4

We can first start off by dividing every term by 4:

4 (4k^2 + 4k + 1)

to factor, you find which two number you can multiply with each other to get the middle term. So 2 and 2 to get 4. Substitute that into the equation

4 (4k^2 + 2k + 2k + 1)

the first two terms become a group and the last 2 terms become a group. Factor like terms out of the two groups.

4 (2k (2k + 1) + 1 (2k + 1))

4 (2k + 1)(2k + 1)

3 0

4 years ago

Mr. Haley is leaning a ladder against the side of his house to repair the roof.

natima [27]

Answer:

15 ft

Explanation:

We can represent the situation with the following figure

Therefore, the length of the ladder is the hypotenuse of the right triangle formed, where the legs are 12 ft and 9 ft. Using the Pythagorean theorem, we can calculate the length of the ladder as