4 consecutive integers : (x), (x + 1), (x + 2), (x + 3)

x + x + 1 + x + 2 + x + 3 = 114...combine like terms
4x + 6 = 114....subtract 6 from both sides
4x = 114 - 6
4x = 108...divide both sides by 4
x = 108/4
x = 27

x + 1 = 27 + 1 = 28
x + 2 = 27 + 2 = 29
x + 3 = 27 + 3 = 30

so ur 4 numbers are : 27, 28, 29, 30

7 0

3 years ago

What is the square root of –16? –8i –4i 4i 8i

Ad libitum [116K]

we know that

$i^{2} =-1$

we have

$\sqrt{-16} =\sqrt{(-1)*(16)} =\sqrt{(-1)*(4^{2})}$

substitute the value of $i^{2}=-1$ in the expression above

$\sqrt{(-1)*(4^{2})}=\sqrt{i^{2}*4^{2}} \\ \\= 4i$

therefore

the answer is

$4i$

7 0

3 years ago

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A stereo system is being installed in a room with a rectangular floor measuring 13 feet by 11 feet and a 7-foot ceiling. The st

zhuklara [117]

Answer:

about 22.2 feet

Step-by-step explanation:

The wire can run diagonally across the floor and, from the intersection with the wall, diagonally up the wall. The total length is computed per the hint to be ...

d = √(18^2 +13^2) = √493 ≈ 22.20 . . . . feet

___

If the wire were to go up the short wall, its length would be ...

d = √(11^2 +20^2) = √521 ≈ 22.83 . . . . feet

_____

Comment on the attachment

The red represents the floor; the green represents the long wall.

6 0

3 years ago

5 pints of red and 4 pints of yellow make orange paint. if 32 pints of yellow paint are mixed, how many pints of orange paint wi

frez [133]

Answer:23

Step-by-step explanation:

add 5 and 4 then subtract it from 32

3 0

3 years ago

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