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4 years ago

Need help on this. Hope an expert can.help

Mathematics

2 answers:

gizmo_the_mogwai [7]4 years ago

5 0

Answer:

16, 24, 32, 56, 72, 800

Step-by-step explanation:

Just divide all of them by 8! (:

laila [671]3 years ago

3 0

Answer: The multiples of 8 by the options above are 16, 24, 32, 56, 72, 800.

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Mariana [72]

Answer: 36 shingles can be placed on the north part of the house.

Step-by-step explanation:

Given: Length of each shingle = $1\dfrac23$ feet = $\dfrac53$ feet.

The north part of the house has a roof line that is 60 feet across.

Then, the number of shingles can be placed on the north part of the house = (Length of roof line in north part) ÷ (Length of each shingle)

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3 years ago

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3 years ago

Solve for x and y 1/(x+yi) + 2/(x-yi) = 1+i

aliina [53]

Answer:

Step-by-step explanation:

x+i*y≠0 ==> x≠0 and y≠0

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We must exclude (0,0) as solution.

$\dfrac{1}{x+i*y} +\dfrac{2}{x-i*y} =1+i\\\\\dfrac{1*(x-i*y)}{(x+i*y)(x-i*y)} +\dfrac{2*(x+i*y)}{(x-i*y)(x+i*y)} =1+i\\\\\\\dfrac{x-i*y+2x+2i*y}{x^2+y^2} =1+i\\\\3x+i*y=(1+i)(x^2+y^2)\\\\3x+i*y=(x^2+y^2)+i(x^2+y^2+i*(x^2+y^2)\\\\\left\{\begin{array}{ccc}3x&=&x^2+y^2\\y&=&x^2+y^2\\\end {array}\right.\\\\\\\left\{\begin{array}{ccc}y&=&3x\\3x&=&x^2+9x^2\\\end {array}\right.\\\\\\\left\{\begin{array}{ccc}y&=&3x\\x(10x-3)&=&0\\\end {array}\right.\\\\$

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Diano4ka-milaya [45]

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