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

Express the number in the form a/b, where a and b are integers. 4-²/ 5-²

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) ...

Beth has 230ft of fencing available to make a rectangle enclosed in an open field. The enclosure needs to have an area of 3000ft^2. If she has to use all 230ft of fencing, what dimensions should she...

2x^(1/2)-9x^(1/4)+4

A fourth-grade class decides to enclose a rectangular garden, using the side of the school as one side of the rectangle. What is the max area that the class can enclose using 32 ft of fence? What...

The spreag from of oil leaking from a tanker is in the shape of a circle. If the radius r (in feet) of the spread after t hours is r(t) = 200sqt(t), find the area A of the oil slick as a function...

A woman 5 ft tall is standing near a street lamp that is 14 ft tall

Use either synthetic or long division to divide P(x) by D(x), and express the quotient P(x)/D(x) in the form P(x)D(x)= Q(x) + R(x)/D(x). P(x) = 2x3...

simplify ((2x-2)/(5y3))-1

Simplify (-3x^2*y^3)*(4*x*y^2)

(a) Express f(x) in standard form (c)find its maximum or minimum value.

I incorrectly solved it the first try.

a) What are the coordinates of the vertex? b) Find the x-intercepts using algebra.

f(x)= -x+1 if -1<= (read this as less than or equal to) x<1 f(x)= 2 if x=1 f(x)= x^2. if x>1 a)...

a) (f+g)(3) b) (f/g)(x)

a) g(x)= x/(x^2-1) b) h(x)= (3x-12)^1/2