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3 years ago

Find the quotient of (-5+ i)/(-7 + i)

Mathematics

1 answer:

kari74 [83]3 years ago

6 0

Use the complex conjugate of (-7 + i) to remove the complex number from the denominator and then simplify.
See attached.

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A group of students are planning a mural at a wall the rectangular wall has dimensions of (6x+7) by (8x+5) and they are planning

zvonat [6]

Answer: $46x^2+73x+15$

Step-by-step explanation:

The area of a rectangle can be calculated with the formula:

$A=lw$

l: the length of the rectangle.

w: the width of the rectangle.

The area of the remaning wall after the mural has been painted, will be the difference of the area of the wall and the area of the mural.

Knowing that the dimensions of the wall are $(6x+7)$ by $(8x+5)$ , its area is:

$A_w=(6x+7)(8x+5)\\\\A_w=48x^2+30x+56x+35\\\\A_w=48x^2+86x+35$

As they are planning that the dimensions of the mural be $(x+4)$ by $(2x+5)$ , its area is:

$A_m=(x+4)(2x+5)\\\\A_m=2x^2+5x+8x+20\\\\A_m=2x^2+13x+20$

Then the area of the remaining wall after the mural has been painted is:

$A_{(remaining)}=A_w-A_m\\\\A_{(remaining)}=48x^2+86x+35-(2x^2+13x+20)\\\\A_{(remaining)}=48x^2+86x+35-2x^2-13x-20\\\\A_{(remaining)}=46x^2+73x+15$

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4 years ago

How many quarts and cups are in 2 gallons

MrMuchimi

There are 8.25 cups and quarts in two gallons

7 0

3 years ago

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zalisa [80]

Answer: -6 i think

Step-by-step explanation:

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3 years ago

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A number plus 15 exceeds twice that number by 3<br><br>Translate into algebraic equation

bekas [8.4K]

Answer:

n + 15 > (2n) / 3

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2 years ago

Solve for z w(-4+z)=Mz+17

bogdanovich [222]

Answer:

z = $\frac{17+4w}{w-M}$

Step-by-step explanation:

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3 years ago