What does SOH-CAH-TOA stand for?
Sine = opposite over hypotenuse Cosine = adjacent over hypotenuse Tangent = opposite over adjacent These pertain to the angles and sides of a triangle and how to find missing values. This is more difficultto explain without a picture.
What is the derivative of x^2+3x-7=200?
Derivatives are all about going one step backwards. Therefore, one step before x^2 is x. Yet, we also have to carry over the 2. The derivative of a power always becomes (power)*(Variable)^(Power-1) which turns x^2, into 2x. If the variable has no power, such as our 3x, the variable disappears, because the step before x is just a number. Therefore, the derivative of 3x is 3. The derivative of a number is just zero, therefore, the derivatives of -7 and 200 are both zero. Therefore, we end up with 2x+3=0
What is the value of x in x^2+2=27?
First you subtract the 2 over, as it is the opposite of addition and is moving from one side of the equal sign to the other. Now you have x^2=25. So you must isolate x by doing the opposite of a square which is a square root. Therefore, x is equal to the square root of 25, which is 5.