Complementary angles mean that the two angles, when added together, equal 90°. Let's call the first angle x, and its second, complementary angle 2x. So, we have x + 2x = 90. Solving for x, we get x = 30. Since the first angle was called x, that...

Complementary angles mean that the two angles, when added together, equal 90°. Let's call the first angle x, and its second, complementary angle 2x. So, we have x + 2x = 90. Solving for x, we get x = 30. Since the first angle was called x, that...

derivation of sin(3x)/(1+x^2) (answer)

Quotient rule: "low d'high - high d'low, square the denominator and away we go" This essentially means "[ (bottom function)*(derivative of the top function) - (top function)*(derivative of the bottom function) ] / (bottom function)2 Applying the quotient...

What are the roots of the equation (answer)

You have to use the quadratic equation to solve this problem. The general formula for the quadratic equation is x = {-b +- sqrt [ b2 - 4(a)(c) ]} / (2a) Applying this formula to this problem, we get: {-(-7) +- sqrt [ (-7)2 - 4(2)(4) ]} / (2a) From...

Maybe it's just my end, but I don't see the expression.

Hi John, To solve this problem, first thing you'll want to do is multiply out the first set of parenthesis. So, you want to multiply (5x-2) times (x2-x3). This gives 5x3 - 5x4 - 2x2 + 2x3 = -5x4 + 7x3 - 2x2 Now, take (-5x4 + 7x3 -...

3*(2x^2+6x+3) (answer)

This is actually pretty straight forward. Just multiply 3 all the way through. So, we get 6x^2 + 18x + 9.

Find f(h(x)) (answer)

Awesome, thanks for posting an example. So in this problem, we want to replace the x in f(x) with h(x). That would give us f(12/x). So in the function for f(x), where there is an x, we replace it with (12/x). So, f(h(x)) becomes f(12/x) = (12/x)^2 +...

Hi, Well, unless you have a specific example to work with, I may not be able to guide you to understanding how to use functions in a graph or a table. I think those are best understood with examples. Domain is all the possible values that x can take on. Range...

Rounding numbers (answer)

$42,706 x 1.16 = 49539

Find the exact circumference (answer)

Hi Theresa, Circumference = 2*pi*r and area = pi*r*r. So, the circumference would be 2*pi*11cm = 22pi cm. Furthermore, the area would be pi*11cm*11cm = 121pi cm2 Hope this helps.

find the inverse (answer)

Hi Dalia, To find the inverse of the function the first step is to solve for t. To do this, get t by itself. We get √(3t) = y - 2. Squaring both sides, we get 3t = y2 - 4y + 4. Dividing both sides by 3, we get t =...