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MATH METHODS 2 - COORDINATE GEOMETRY AND LINEAR RELATIONS

Descrição

2A, B, C
Jade Buck
Quiz por Jade Buck, atualizado more than 1 year ago
Jade Buck
Criado por Jade Buck quase 6 anos atrás
319
1
0

Resumo de Recurso

Questão 1

Questão
Find the coordinates of M, the midpoint of AB, where A and B have the coordinates: A(2,12), B(8,4) ( [blank_start]x[blank_end] . [blank_start]y[blank_end] )
Responda
  • 5
  • 8

Questão 2

Questão
Find the coordinates of M, the midpoint of AB, where A and B have the coordinates: A(3.6, -2.8), B(-5, 4.5) ( [blank_start]x[blank_end] , [blank_start]y[blank_end] )
Responda
  • -0.7
  • 0.85

Questão 3

Questão
Find the midpoints of each of the sides of a triangle ABC, where A is (1, 1), B is (5, 5) and C is (11, 2). AB - ( [blank_start]x[blank_end] , [blank_start]y[blank_end] ) AC - ( [blank_start]x[blank_end] , [blank_start]y[blank_end] ) BC - ( [blank_start]x[blank_end] , [blank_start]y[blank_end] )
Responda
  • 3
  • 3
  • 6
  • 1 1/2
  • 8
  • 3 1/2

Questão 4

Questão
The secretary of a motocross club wants to organise two meetings on the same weekend. One is a hill climb starting from point A(3.1, 7.1) and the other is a circuit event with the start at B(8.9, 10.5), as shown on the map. Only one ambulance can be provided. The ambulance can be called up by radio, so it is decided to keep it at C, halfway between A and B. What are the coordinates of C? ( [blank_start]x[blank_end] , [blank_start]y[blank_end] )
Responda
  • 6
  • 8.8

Questão 5

Questão
If M is the midpoint of XY, find the coordinates of Y when X and M have the following coordinates: X(−4, 2), M(0, 3) Answer: ( [blank_start]x[blank_end] , [blank_start]y[blank_end] )
Responda
  • 4
  • 4

Questão 6

Questão
If M is the midpoint of XY, find the coordinates of Y when X and M have the following coordinates: X(4, −3), M(0, −3) Answer: ( [blank_start]x[blank_end] . [blank_start]y[blank_end] )
Responda
  • -4
  • -3

Questão 7

Questão
Find the coordinates of the midpoint of the line segment joining (1, 4) and (a, b), in terms of a and b. If (5, −1) is the midpoint, find the values of a and b. Answer: a = [blank_start]?[blank_end] b = [blank_start]?[blank_end]
Responda
  • 9
  • -6

Questão 8

Questão
Find the distance between each of the following (correct to two decimal places): (3, 6) and (−4, 5) Answer : approx [blank_start]?[blank_end]
Responda
  • 7.07

Questão 9

Questão
Find the distance between each of the following (correct to two decimal places): (6, 4) and (−7, 4) Answer : approx [blank_start]?[blank_end]
Responda
  • 13

Questão 10

Questão
Calculate the perimeter of a triangle with vertices (−3, −4), (1, 5) and (7, −2). Answer : approx [blank_start]?[blank_end]
Responda
  • 29.27

Questão 11

Questão
There is an off-shore oil drilling platform in Bass Strait situated at D(0, 6), where 1 unit = 5 km. Pipes for this oil drill come ashore at M(−6, 1) and N(3, −1). Assuming the pipelines are straight, which is the shorter DM or DN? Answer - [blank_start]?[blank_end]
Responda
  • DN

Questão 12

Questão
Calculate the gradient of the line: Answer: [blank_start]?[blank_end]
Image:
Screen Shot 2018 06 26 At 8.37.39 Pm (binary/octet-stream)
Responda
  • 4

Questão 13

Questão
Calculate the gradient of the following line: Answer - [blank_start]?[blank_end]
Image:
Screen Shot 2018 06 26 At 8.39.24 Pm (binary/octet-stream)
Responda
  • 1/4

Questão 14

Questão
Calculate the gradient of the following line: Answer - [blank_start]?[blank_end]
Image:
Screen Shot 2018 06 26 At 8.41.02 Pm (binary/octet-stream)
Responda
  • -2

Questão 15

Questão
For the following, find the gradient of the line that passes through the two points with the given coordinates: (5, 8), (6, 0) Answer - [blank_start]?[blank_end]
Responda
  • -8

Questão 16

Questão
For the following, find the gradient of the line that passes through the two points with the given coordinates: (−5, 25), (−8, 64) Answer - [blank_start]?[blank_end]
Responda
  • -13

Questão 17

Questão
For the following, find the gradient of the line that passes through the two points with the given coordinates: (5, 125), (4, 64) Answer - [blank_start]?[blank_end]
Responda
  • 61

Questão 18

Questão
Find the gradient of the straight line that passes through the points with coordinates (5a, 2a) and (3a, 6a). Answer - [blank_start]?[blank_end]
Responda
  • -2

Questão 19

Questão
Find the gradient of the straight line that passes through the points with coordinates (5a, 2a) and (5b, 2b). Answer - [blank_start]?[blank_end]
Responda
  • 2/5

Questão 20

Questão
A line has gradient 6 and passes through the points with coordinates (−1, 6) and (7, a). Find the value of a. Answer: a = [blank_start]?[blank_end]
Responda
  • 54

Questão 21

Questão
A line has gradient −6 and passes through the points with coordinates (1, 6) and (b, 7). Find the value of b. Answer: b = [blank_start]?[blank_end]
Responda
  • 5/6

Questão 22

Questão
Find the angle, correct to two decimal places, that the lines joining the given points make with the positive direction of the x-axis: (0, 3), (−3, 0) Answer: [blank_start]?[blank_end] degrees
Responda
  • 45

Questão 23

Questão
Find the angle, correct to two decimal places, that the lines joining the given points make with the positive direction of the x-axis: (c, b), (b, c) Answer: [blank_start]?[blank_end] degrees
Responda
  • 135

Questão 24

Questão
Find the angle, correct to two decimal places, that the lines joining the given points make with the positive direction of the x-axis: (0, −5), (−5, 0) Answer = [blank_start]?[blank_end] degrees
Responda
  • 135

Questão 25

Questão
Find the angle, correct to two decimal places, that the lines joining the given points make with the positive direction of the x-axis: (−4, −2), (6, 8) Answer = [blank_start]?[blank_end] degrees
Responda
  • 45

Questão 26

Questão
Find the gradient of a straight line which is inclined at an angle of 45◦ to the positive direction of the x-axis. Answer: [blank_start]?[blank_end]
Responda
  • 1

Questão 27

Questão
State the gradient and y-axis intercept of the graph of the equation: y = 3x + 6 m = [blank_start]?[blank_end] c = [blank_start]?[blank_end]
Responda
  • 3
  • 6

Questão 28

Questão
State the gradient and y-axis intercept of the graph of the equation: y = −x − 4 m = [blank_start]?[blank_end] c = [blank_start]?[blank_end]
Responda
  • -1
  • -4

Questão 29

Questão
Find the equation of the straight line with gradient 3 and y-axis intercept 5. y = [blank_start]m[blank_end]x + [blank_start]c[blank_end]
Responda
  • 3
  • 5

Questão 30

Questão
Find the equation of the straight line with gradient 3 and y-axis intercept −4. y = [blank_start]m[blank_end]x + [blank_start]c[blank_end]
Responda
  • 3
  • -4

Questão 31

Questão
State the gradient and y-axis intercept of the graph of the equation: 3x − y = 6 m = [blank_start]?[blank_end] c = [blank_start]?[blank_end]
Responda
  • 3
  • -6

Questão 32

Questão
State the gradient and y-axis intercept of the graph of the equation: 5x − 10y = 20 m = [blank_start]?[blank_end] c = [blank_start]?[blank_end]
Responda
  • 1/2
  • -2

Questão 33

Questão
State the gradient and y-axis intercept of the graph of the equation: 2x − 6y = 10 m = [blank_start]?[blank_end] c = [blank_start]?[blank_end]
Responda
  • 1/3
  • -5/3

Questão 34

Questão
Express in gradient–intercept form and hence state the gradient and y-axis intercept of the following linear relations: 2x − y = 9 m = [blank_start]?[blank_end] c = [blank_start]?[blank_end]
Responda
  • 2
  • -9

Questão 35

Questão
Express in gradient–intercept form and hence state the gradient and y-axis intercept of the following linear relations: 5x − 2y = 4 m = [blank_start]?[blank_end] c = [blank_start]?[blank_end]
Responda
  • 5/2
  • -2

Questão 36

Questão
Find the equation of the straight line that has gradient 3 and passes through the point with coordinates (6, 7). y = [blank_start]m[blank_end]x + [blank_start]c[blank_end]
Responda
  • 3
  • -11

Questão 37

Questão
Find the equation of the straight line that has gradient −2 and passes through the point with coordinates (1, 7). y = [blank_start]m[blank_end]x + [blank_start]c[blank_end]
Responda
  • -2
  • 9

Questão 38

Questão
Find the equations of the straight lines passing through the following pairs of points. (Express your answer in gradient–intercept form.) (−1, 4), (2, 3) y = [blank_start]m[blank_end]x + [blank_start]c[blank_end]
Responda
  • -1/3
  • 11/3

Questão 39

Questão
Find the equations of the straight lines passing through the following pairs of points. (Express your answer in gradient–intercept form.) (5, −2), (8, 9) y = [blank_start]m[blank_end]x + [blank_start]c[blank_end]
Responda
  • 11/3
  • -61/3

Questão 40

Questão
For the straight line that has y-axis intercept 6 and passes through the point with coordinates (1, 8), find: the gradient = [blank_start]?[blank_end] the equation = y = [blank_start]m[blank_end]x + [blank_start]c[blank_end]
Responda
  • 2
  • 2
  • 6

Questão 41

Questão
Find the equation of the straight line that passes through the point (1, 6) and has gradient 2. y = [blank_start]m[blank_end]x + [blank_start]c[blank_end]
Responda
  • 2
  • 4

Questão 42

Questão
Find the equation of the straight line that passes through the point (1, 6) and has gradient -2. y = [blank_start]m[blank_end]x + [blank_start]c[blank_end]
Responda
  • -2
  • 8

Questão 43

Questão
Write, in the form y = mx + c, the equations of the lines which have the given gradient and pass through the given point: m = 2; (−1, 4) y = [blank_start]m[blank_end]x + [blank_start]c[blank_end]
Responda
  • 2
  • 6

Questão 44

Questão
Write, in the form y = mx + c, the equations of the lines which have the given gradient and pass through the given point: m = −5; (3, 0) y = [blank_start]m[blank_end]x + [blank_start]c[blank_end]
Responda
  • -5
  • 15

Questão 45

Questão
Find equations defining the lines which pass through the following pairs of points: (2, 0), (0, 3) y = [blank_start]m[blank_end]x + [blank_start]c[blank_end]
Responda
  • -3/2
  • 3

Questão 46

Questão
Find the equations, in the form y = mx + c, of the lines which pass through the following pairs of points: (−3, 0), (3, 3) y = [blank_start]m[blank_end]x + [blank_start]c[blank_end]
Responda
  • 1/2
  • 1 1/2

Questão 47

Questão
Find the equations, in the form y = mx + c, of the lines which pass through the following pairs of points: (−3, 1.75), (4.5, −2) y = [blank_start]m[blank_end]x + [blank_start]c[blank_end]
Responda
  • -0.5
  • 0.25

Questão 48

Questão
Do the points P(1, −3), Q(2, 1) and R(2 1/2 , 3) lie on the same straight line? Answer - [blank_start]?[blank_end]
Responda
  • yes

Questão 49

Questão
For which of the following does the line pass through the origin?
Responda
  • y + x = 1
  • y + 2x = 2(x + 1)
  • x + y = 0
  • x − y = 1

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