In your own words, explain why the method of dividing complex numbers works. What property justifies this process?

In your own words, explain why the method of dividing complex numbers works. What property justifies this process?

The perimeter of a triangle is 10 (that is, a+x+(x+1)=10). Use this and the cosine law to solve for x. Round answers to 2 decimal places. Triangle: <BAC: 60degrees line...

f(x) =x^3+5x^2-3x-21, k=(squareroot of)3

A pomegranate is thrown from ground level straight up into the air at time t=0 with velocity 96 feet per second. Its height in feet at t seconds is f(t)=−16t^2 +96t . Find...

The exact question was: "Rotate the coordinate axes to eliminate the xy term. 2x2 + 2(sqrt3)xy + 4y2 - 8 = 0" (sqrt= square root) ...

The second observer is also at ground level but is 200 meters further away from a point at ground level directly below the peak than the first observer. The second observer measures the angle of elevation...

Simplify the resulting expression: x^2/sqrt(a^2+x^2). I actually have no idea how to go about solving this at all. If anyone could be kind enough to explain this to me step by step,...

I feel like the answer is sqrt(1-4x^2)/2x (The square root is only over the 1-4x^2). I'm just asking for confirmation because I only have a limited amount of tries to submit a problem and I want to...

I got the answer of π/9, but I'm not so sure about it. I'm not the strongest in this unit so far so any explanation would be greatly appreciated.

I got the answer of -π/4 +- πn and -3π/4 +- πn. Is this the correct answer? I'm asking because I think it's right, but I only have a limited number of tries to submit it.

(The image is shown here: http : / / www . webassign . net/waplots/8/d/dc5db24cd0d6787d38f1935c64ec3d.gif) (I added spaces to paste it here without issue, but to view it, just take away the spaces...

(http : // www . webassign . net/waplots/5/9/3db62208ecce8388e36f5fcdec8fe3.gif) image here I know that the amplitude is 5 and the period is 3pi (I think, correct me if I'm wrong), but how...

The values of θ are in radians and are between 0 and 2π . Enter your answer in exact form. I needed to enter in a smaller value and a larger value. However, I got the answers of pi/4...

I'm not totally sure how to solve this, but do you use the formula A=1/2*r^2*theta? And, if so, how would you incorporate it here because I think 'r' means radius and so I get stuck at A=1/2*(1.5)^2*theta...

(Do not include the endpoints of the intervals, and all intervals should be open intervals on all endpoints) I don't really understand the instructions here. This is one of a few...

Also, given the area of a sector, A, and the length or the arc of the sector, s, determine the general formula for the angle in radians as a function of A and s. This is one of a few...

(Determine the radius, r centimeters, of the circle. Write an exact number as an integer, fraction, or decimal.) I'm very confused about arcs and angles and whatnot. I'm doing extra...

One gear wheel turns another the teeth being on the rims. The wheels have 40cm and 50cm radii, and the smaller wheel rotates at 20rpm. find angular speed of larger wheel in radians per second

Find all solutions to the equation on [0,2π) sinxcotx^2-sinxcsc^2 x=1/2

How many times did the wheel rotat? How many radians did it turn? ps. I need to know how to get the answer, thx!

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