Grade 10 Math

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Math 10 Chapter 3 Lesson 1: Line equations

Math 10 Chapter 3 Lesson 1: Line equations 1. Summary of theory 1.1. Parametric equation of the line – The vector (overrightarrow u ) is called the direction vector (VTCP) of the line (Delta) if (overrightarrow u ne overrightarrow 0 ) and the price is parallel or coincident with the line (Delta) – In the …

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Math 10 Chapter 3 Lesson 2: Equation of a circle

Math 10 Chapter 3 Lesson 2: Equation of a circle 1.Theory summary 1.1. Equation of a circle with given center and radius In the plane Oxy give a circle (C) center I(a;b) radius R. We have (Mleft( {x;y} right) subset left( C right) Leftrightarrow IM = R) (begin{array}{l} Leftrightarrow sqrt {{{left( {x – a} right)}^2} …

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Math 10 chapter 3 Lesson 3: Equation of the ellipse

Math 10 chapter 3 Lesson 3: Equation of the ellipse 1. Summary of theory 1.1. Definition of an ellipse Given two fixed points Ffirst, F2 and a constant length 2a greater than FfirstF2. The ellipse is the set of points M in the plane such that FfirstM+F2M=2a Points Ffirst and F2 are called the focal …

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Math 10 Review Chapter 3: Coordinate method in the plane

Math 10 Review Chapter 3: Coordinate method in the plane 1. Summary of theory 1.1. Parametric equation of the line In the Oxy plane, for the line (Delta) passes through M0(x0;y0) and has VTCP (overrightarrow u = left( {{u_1};{u_2}} right)). Parametric equation of (Delta): (left{ begin{array}{l}x = {x_0} + t{u_1}\y = {y_0} + ship_2}end{array} right.) …

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Math 10 Review chapter 2: Scalar product of two vectors and applications

Math 10 Review chapter 2: Scalar product of two vectors and applications 1. Summary of theory 1.1. Trigonometric value of an angle For each angle (alpha(0^oleq alphaleq 180^o)), we define a point M on the semicircle such that (widehat{MOx}=alpha). Let’s say the point M(x;y). Then: The y coordinate of the point M is called the …

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Math 10 Chapter 5 Lesson 1: Frequency and frequency distribution table

Math 10 Chapter 5 Lesson 1: Frequency and frequency distribution table 1. Summary of theory 1.1. Statistics When performing statistical description (for a predetermined purpose), it is necessary to determine the set of descriptive units, survey signs, and data collection. 1.2. Signal. The value of the sign Issues of interest to the investigator, such as …

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Math 10 Chapter 4 Lesson 5: Sign of quadratic triangle

Math 10 Chapter 4 Lesson 5: Sign of quadratic triangle 1. Summary of theory 1.1. Sign theorem of quadratic triangle – Define: The quadratic triangle for is an expression of the form (f(x) = a{x^2} + bx + c,) where (a,b,c) are the coefficients (,a ne 0.) Example 1: a.(f(x) = {x^2} +2x+3) is a …

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Math 10 Chapter 4 Lesson 3: Sign of the first degree binomial

Math 10 Chapter 4 Lesson 3: Sign of the first degree binomial 1. Summary of theory 1.1. Sign theorem of first degree binomial 1.1.1. First order binomial The first-order binomial for x is an expression of the form ax + b, where a and b are two given numbers, where a ≠ 0 and a …

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