Calculus

It is fairly easy if you know what radius, diameter, and pi are. Basically all you have to do is multiply the radius by itself and then multiply your answer by pi. πr squared.

If all you have is the diameter, then divide the diameter by two and then do the formula.

4x2 - 2x - 3 = 0

(2x + 1)(2x - 3) = 0

x = -(1/2) or (3/2)

561

So 7x = 3 making x = 3/7

There are 77 diagonals

x=9

divide each side of -2x + 18 = 0 by -2, then x - 9 = 0

add 9 to each side of the equation, then x = 9

2x + 3 = 9x start by bringing the 2x over- minus it from both sides

3 = 7x divide 7 by on sides

x= 3/7

x = .4285714285714 repeating.

-22 - -22

(1/8)(x-sin 4x)

105 mph = 154 fps

-1

9.1 x 5 = 45.5 m

If Roberto has 200 coins and distributes them in such a way that each friend gets at least one coin, and no two friends get the same number of coins, the largest number of friends Roberto could have is 19.

This is a simple triangular function of a number.

1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19 = 190

At that point, Roberto only has 10 coins left, and he can not give them to anyone else without duplicating the amount two friends get.

(20x8 + 12x4) over 4x2 = 160 + 48 over 8 = 208 over 8 = [26] OR 20x8 + (12x4 over 4x2) = 160 + (48 over 8) = 160 + 6 = 166

There isn't one as it can't divide into a whole number

okay

This can be done using long division. That's rather hard to depict here though, so to run through it verbally:

Take (x - 2) and multiply it by a factor that gives us the term (x3 - 2). That factor would be x2, making that term (x3 - 2x2). Subtract that result from our initial equation. This gives us:

-2x2 - 7x + 6

Now repeat that process, finding a factor by which to multiply (x - 2) which will give us a term that is equal to the first term of our new expression. That factor would be -2x, giving us (-2x2 + 4x). Again subtract it from our equation, and we get:

-11x + 6

Again we repeat, this time multiplying our divisor by -11, giving us (-11x + 22). Subtract it, and we get:

-16

And that's our remainder, as we're now out of terms. Now we add up the terms and we get:

x2 - 2x - 11, with a remainder of -16. That could be expressed as:
x2 - 2x - 11 - 16 / (x - 2)

7

This is not an equation, since it doesn't have an equal sign. If you want to factor it, you can convert it to the equation 5x2 - 2x - 6 = 0. Any equation of this type must have zero to the right. Now that the equation is in "standard form", use the quadratic formula. Since typing it up here will be messy, look it up here:

http://en.wikipedia.org/wiki/Quadratic_equation#Quadratic_formula

In the above example, the coefficients are a = 5, b = -2, c = -6.

People realized that they could only count so high with their fingers and toes, so the abacus was invented as an early calculator.

There are two expressions in the question but no equation - so nothing to solve.

8

50 ft/sec or 34.1 mph

x=(-3)