/Tag: Junior
16 06, 2017

Two Point Formula

By |2017-06-16T12:10:57+00:00June 16th, 2017|Tags: , , , |Comments Off on Two Point Formula

Two Point Formula $$\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}$$  worked examples Find the equation of the line passing through (2, -4) and (-3, 6).   $$\frac{y-(-4)}{x-2}=\frac{6-(-4)}{-3-2}$$  x1 = 2, y1 = -4, x2 = -3, y2 = 6 substitute into the formula $$\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}$$ $$\frac{y+4}{x-2}=\frac{10}{-5}$$ $$\frac{y+4}{x-2}=-2$$ simplify y + 4 = -2(x -2) multiply both sides by (x - [...]

30 11, 2016

Single Stage Events

By |2016-11-30T07:24:02+00:00November 30th, 2016|Tags: , , |Comments Off on Single Stage Events

Single Stage Events worked examples A spinner with the numbers 1 to 8 is spun. What is the probability of getting a. An even number? b. A prime number? c. A number that is even or less than 4? d. A number that is even or less than 4? a. P(even) [...]

28 11, 2016

Dividing Logs

By |2016-11-28T09:32:05+00:00November 28th, 2016|Tags: , , , , |0 Comments

Dividing Logs worked examples Simplify $$\frac{\log16}{\log8}$$.  $$=\frac{\log2^4}{\log2^3}$$ there is no log law to allow us to directly divide logs, so we are going to rewrite them with the same numbers as powers consider what both 16 and 8 can be written to the power of 16 = 24 and [...]

28 11, 2016

Expanding Surds

By |2016-11-28T07:07:04+00:00November 28th, 2016|Tags: , , , |0 Comments

Expanding Surds worked examples Expand and simplify √3(10 - √2). = 10√3 - √6 multiply √3 by 10, remembering that if you multiply a number by a surd the number part stays out front of the surd, similar to 10 × y = 10y so 10 × √3 = 10√3 multiply √3 by √2, remembering [...]

28 11, 2016

Dividing Surds

By |2016-11-28T07:04:44+00:00November 28th, 2016|Tags: , , , |0 Comments

Dividing Surds $$\frac{\sqrt{a}}{\sqrt{b}}=\sqrt{\frac{a}{b}}$$ worked examples Simplify √10 ÷ √2. $$\sqrt{10\div2}$$ = √5 divide the surds part to form single surd and then simplify. Simplify 15√12 ÷ 3√6. = 5√2 think of this as two separate questions: divide the number parts by each other and then divide the surd parts [...]

28 11, 2016

Multiplying Surds

By |2016-11-29T10:51:22+00:00November 28th, 2016|Tags: , , , |0 Comments

Multiplying Surds $$\sqrt{a}\times\sqrt{b}=\sqrt{ab}$$ $$\sqrt{a}\times\sqrt{a}=a$$ $$\sqrt{a}^2=a$$ worked examples Simplify √3 × √3.  = √9 = 3 multiply the things in the surds togetther as a single surd and then simplify. Simplify √3 × √5. $$=\sqrt{3\times5}$$ = √15 multiply the surds together and if they can't be simplified, then [...]

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