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Reil [10]
3 years ago
14

How to simply this expression

Mathematics
1 answer:
strojnjashka [21]3 years ago
3 0
Hope this answer your question :)

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The product of two consecutive odd integers is 782. What are the integers?
Alex Ar [27]

Call the smaller of the two odds = n

Call the next number in the sequence = n + 2

n*(n +2) = 782           Remove the brackets.

n^2 + 2n = 782          Subract 782 from both sides.

n^2 + 2n - 782 = 0    We are going to have to factor this.

Discussion

This problem can't be done the way it is written. The product of an odd integer with another odd integer is and odd integer. There are no exceptions to this. So you need to give a number that has two factors very near it's square root for this question to work.

For example, you could use 783, (which factors) instead of 782 .

Solve

n^2 + 2n - 783 = 0

(n + 29)(x - 27) = 0

<u>Solution One</u>

n - 27 = 0

n = 27

The two odd consecutive integers are 27 and 29.

<u>Solution Two</u>

n + 29 = 0

n = - 29

The two solution integers are -29 and - 27 Notice that - 29 is smaller than - 27.

7 0
4 years ago
6. A rectangle has a perimeter of 62 feet. If its length is 9 feet longer than its width, find
Anastaziya [24]

Answer:

length = 20 ft, width = 11 ft

Step-by-step explanation:

let w be width, then length = w + 9

The opposite sides of a rectangle are equal , then

2w + 2(w + 9) = 62

2w + 2w + 18 = 62

4w + 18 = 62 ( subtract 18 from both sides )

4w = 44 ( divide both sides by 4 )

w = 11

and w + 9 = 11 + 9 = 20

then width = 11 ft and length = 20 ft

8 0
3 years ago
What is the square root of -1
Gre4nikov [31]

Answer:

i

Step-by-step explanation:

because you can't technically can't find the square root of -1, so it's an imaginary number

4 0
4 years ago
Question 6 of 10
Usimov [2.4K]

Answer:

The answer is B. 9

Use cosine rule. In this case, I am using SOH and the right triangle:

sin 60°= a ÷ 6 root 3

(6 root 3)(sin 60°)= a

a=9

Step-by-step explanation:

7 0
2 years ago
The quotient of z and 8
kiruha [24]

Answer:

z/8

Step-by-step explanation:

cuz it says z and 8 in that order so z/8 please dont just ignore give me 5 star and thanks dont ignore if u do i will never help you

4 0
3 years ago
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