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Dominik [7]
3 years ago
15

What is the term used to describe the distance of a complex number from the origin in a complex plane?

Mathematics
1 answer:
IceJOKER [234]3 years ago
3 0
In a rectangular form of a complex number, where  a + bi, a and b equates to the location of the x and y respectively in a complex plane. The modulus |z| is the term used to describe the distance of a complex number from the origin. Hence, |z| = √(a²+b²)
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A ball is thrown downward from a cliff. Its position at time t seconds is given by the formula s(t) = 16t2 + 32t, where s is in
Rom4ik [11]

Answer:

It takes 2.8 seconds for the ball to fall 215 ft.

Step-by-step explanation:

We are given a position function s(t) where s stands for the number of feet the ball has fallen, so we have to replace s with the given value of 215 ft and solve for the time t.

Setting up the equation.

The motion equation is given by

s(t) =16t^2+32t

We can replace there s = 215 ft to get

215=16t^2+32t

Solving for the time t.

From the previous equation we can move all terms in one side to get

16t^2+32t-215=0

At this point we can solve for t using quadratic formula.

t = \cfrac{-b\pm \sqrt{b^2-4ac}}{2a}

where a, b and c are the coefficients of the quadratic equation

at^2+bt+c=0

So we get

a=16\\b=32\\c=-215

Replacing on the quadratic formula we get

t = \cfrac{-32\pm \sqrt{32^2-4(16)(-215)}}{2(16)}

Using a calculator we get

t=-4.8 , t = 2.8

Physically speaking the only result that makes sense is to move forward in time that give us t = 2.8 seconds.

We can conclude that it takes 2.8 seconds for the ball to fall 215 ft.

3 0
3 years ago
Use the product to sum formulas to write the product as a sum or difference
alina1380 [7]
Ok can you please show the formula or give more information please
6 0
3 years ago
A 4-ounce bottle of medicine contains 20 doses are in 13-ounce bottle of the same medicine
Ratling [72]
There would be 65 doses in a 13 ounce bottle.
7 0
3 years ago
PLEASE HELP V IMPORTANT<br> the answers I input were just so I could see other questions.
marishachu [46]

Step-by-step explanation:

(T-S)(2000), when T(x) and S(x) are functions, is equivalent to T(2000)-S(2000), which is 17-7=10

We know that T(x) is equal to everything else, and everything else is S(x)+G(x), so T(x)-S(x) = G(x), or dollars spent on general science

6 0
3 years ago
What Is the area of the shaded part???​
Aloiza [94]

Answer: The area of the shaded region is 27.74 centimeters squared

Step-by-step explanation: The diagram shows a two-in-one figure, a circle inscribed in a rectangle. The shaded region is the part of the rectangle not covered by the circle, hence we would have to subtract the area of the circle from that of the rectangle.

Area of Rectangle = L x W

Area of rectangle = 8 x 7

Area of rectangle = 56

Also,

Area of circle = Pi x r^2

Area of circle = 3.14 x 3^2

Area of circle = 3.14 x 9

Area of circle = 28.26

Area of shaded region is given as area of rectangle minus area of circle

Therefore, shaded region = 56 - 28.26

Area of shaded region = 27.74 centimeters squared

3 0
3 years ago
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