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mixer [17]
3 years ago
12

-2i over 1+i ... help :(

Mathematics
2 answers:
LuckyWell [14K]3 years ago
7 0
If you're evaluating, then multiply by the conjugate and simplify.
= -1 -i
The answer would be the same even if you divided...and or, wrote it in simplest form.
Vesnalui [34]3 years ago
3 0
The answer to your question is  -l - i 
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A circle has a circumference of 28π centimeters. In terms of π, what is the area of the circle to the nearest square centimeter?
Vadim26 [7]

Hi there!

The formula to find the are of a circle is :

a = \pir²

The formula to find the circumference of a circle is :

c = 2\pir


In order to use the area formula, you need to figure out what the radius (r) is.

If we solve for "r" in the circumference equation, we have :

r = c ÷ (2\pi)


Now we use this to replace "r" in the area formula :

a = \pi ( c ÷ (2\pi))²


When we simplify this we get :

a = c² ÷ 4\pi


Now you can put your value of "c" into this equation and find "a".

*Remember, \pi is about 3.1416.


Solving for "a" :

a = c² ÷ 4\pi

a = 28² ÷ 4\pi


28² = 28 × 28 = 784


a = 784 ÷ 4\pi


4\pi = 4 × \pi = 12.56637061435917


a = 784 ÷ 12.56637061435917

a = 62.38873769202297cm²


You need to round to the nearest square centimeter, which means that you need to round to the nearest whole number :

a = 62cm²


There you go! I really hope this helped, if there's anything just let me know! :)

8 0
3 years ago
A movie theater has a seating capacity of 387. The theater charges $5.00 for children, $7.00 for students, and $12.00 of
Rainbow [258]

Answer:

The attendance was 198 children, 90 students and 99 adults.

Step-by-step explanation:

We define:

c: children attendance

s: students attendance

a: adult attendance

The equation that describes the total ticket sales is:

5c+7s+12a=2808

We also know that the children attendance doubles the adult attendance:

c=2a

The third equation is the seating capacity, which we assume is full:

c+s+a=387

We start by replacing variables in two of the equations:

c=2a\\\\s=387-c-a=387-2a-a=387-3a

Then, we solve the remaining equation for a:

5c+7s+12a=2808\\\\5(2a)+7(387-3a)+12a=2808\\\\10a+(2709-21a)+12a=2808\\\\10a+12a-21a=2808-2709\\\\a=99

Then, we solve for the other two equations:

c=2a=2*99=198\\\\s=387-3a=387-3*99=387-297=90

The attendance was 198 children, 90 students and 99 adults.

8 0
3 years ago
What are the coordinates of each point after quadrilateral ABCD is reflected across the y-axis and then translated 2 units down?
zheka24 [161]

Answer:

A" =(-1,-1)    B" =(-2,1)

C" =(-4,1)    D" =(-5,-1)

Step-by-step explanation:

Given

A = (1,1)        B =(2,3)

C = (4,3)        D = (5,1)

Required

The new coordinates after reflected across y-axis and shifted 2 units down

When a point is reflected across the y-axis, the rule is:

(x,y)=>(-x,y)

So:

A = (1,1) => A' = (-1,1)

B =(2,3) => B' = (-2,3)

C = (4,3) => C' = (-4,3)

D = (5,1) => D' = (-5,1)

When a point is translated 2 units down, the rule is:

(x,y) => (x,y-2)

So:

A = (1,1) => A' = (-1,1) => A" =(-1,-1)

B =(2,3) => B' = (-2,3) => B" =(-2,1)

C = (4,3) => C' = (-4,3)=> C" =(-4,1)

D = (5,1) => D' = (-5,1) => D" =(-5,-1)

So, the new coordinates are:

A" =(-1,-1)    B" =(-2,1)

C" =(-4,1)    D" =(-5,-1)

5 0
3 years ago
Hey! Can someone do this real quick? 20 points!!!
likoan [24]

Answer:

i think about 80 cm or 100cm

5 0
3 years ago
Read 2 more answers
What is the slope of line P / answers: -3, 1.5, 3
stepladder [879]
The slope of p is 3
the slope of q is -3
4 0
3 years ago
Read 2 more answers
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