x Intercept is where the graph of an equation crosses the x-axis y Intercept is where the graph of an equation crosses the y-axis How To find the intercepts What Intercept Steps x intercepts (x, 0) 1. Set y=02. Solve for x y intercepts (0, y) 1. Set x=02. Solve for y Learn More General
Greatest Common Factor (GCF) or Highest Common Factor (HCF) is the largest of the common factors. Greatest Common Factor is useful to simplify a fraction, because it is the largest number we can divide both numerator and denominator of a fraction. How to Find the Greatest Common Factor Method 1 find all factors of both
To simplify a square root, make the number inside the square root as small as possible. How to Simplifying Square Roots Rule where a, b > 0 Simplifying Square Roots for Fractions Rule Surds Surd is a root we can’t simplify further. So √5 is a surd. But √9 = 3 is not a surd. Learn
Solving trigonometry’s problem that use right angle can be done by using right triangle and Pythagorean theorem. But, in other problems it does not use right triangle. It uses any triangles. The solution is using law of sines and cosines. It will be more complex than using right triangle but it does not mean difficult.
Inverse Operation is an operation that reverses or undo the effect of another operation. Definition of Inverse Operation What are Inverse Operations? Inverse means reverse in position / direction. The word “inverse” comes from the Latin word “inversus” which means to turn inside out or upside down. Inverse operation in mathematics is an operation that undoes what was done by the previous operation. Most
Exterior Angle Theorem For a triangle The exterior angle d equals the angles b plus c. (d = b + c) The exterior angle d is greater than angle b and angle c. (do > bo, do > co) Proof d = b + c : a + b + c = 180° (Because the interior angles of
Commutative Laws Commutative Laws say we can swap numbers over and still get the same answer. Commutative Laws for Addition a + b = b + a Commutative Laws for Multiplication a × b = b × a From these laws it follows that any finite sum or product is unaltered by reordering its terms
We can find an unknown angle in a right-angled triangle, as long as we know the lengths of two of its sides. Use Sine, Cosine or Tangent! Use SOHCAHTOA to help you, like this: How to Finding an Angle in a Right Angled Triangle 1. find the names of the two sides we know Adjacent
Imaginary number Imaginary number (when squared give a negative result) i is the unit of imaginary number which is square root of -1 i = √-1, because i2=-1 So, (7i)2 = -7 Definition of Complex Number A Complex Number is a combination of a Real Number and an Imaginary Number Either Part Can Be Zero
What are partial fractions? Fraction form can’t be ignored in mathematics. Some theorem or topics in mathematics using fraction and also partial fraction. The fractions are possible to be split into two or more simple fraction and it is called partial fraction. Partial fraction is one of ways to calculate complex fraction to be