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A software designer is mapping the streets for a new racing game. All of the streets are depicted as either perpendicular or parallel lines. The equation of the lane passing through A and B is -7x + 3y = -21.5. What is the equation of the central street PQ?
Two bikers meet at a park. Biker A needs to stop at the store that is 12 miles east of the park. Biker B heads southeast at a 61° angle at the same time for 24 miles. Once biker A leaves the store he heads southwest at an angle of 89° for 21 miles. Do NOT use the law of cosines, use your knowledge from the content of this course.
a. Use your knowledge of triangles to figure out if the two bikers will be able to meet up if each biker travels the distance given.
b. If they do not meet up, how much farther would one of the bikers have to travel to meet the other?
c. What is the measure of the angle between the bikers?
d. What is the relationship between the measure of the angles and the paths the bikers took?
e. Classify the triangle the paths created.
f. How many miles did they travel together?
In the cartesian plane OXY, we consider the lines with equation ax + 3y + 4=0 and x + 2ay + 7=0 with a as real parameter. Which of the following statements is true?
A. There exist a unique value for a for which the lines are parallel and distinct
B. A unique value of a exists for which the lines are coincident
C. Two values of a exist for which the lines are parallel
D. No value of a for which the lines are parallel
We consider 3 non-aligned points in the plane. How many lines can one find that are
exactly at the same distance from these three points
a ship leaves port at 1 pm traveling north at the speed of 30 miles per hour. At 3 pm the ship adjust its course 20 degrees eastward, how far was the ship from the port at 4pm. What law we will use to answer the problem
1. Develop an analytic rubric to assess learner's responses for the task development.Il
2. Develop an assessment task (for grade 6 learner's) on transformation with special focus on description of patterns from modern every day Life and cultural heritage.In your task you need also to refer to lines, 2-D shapes, reflections and lines of symmetry
Square grid
Isometric dotty paper
Square dotty paper
1.2 Make a sketch or a diagram of the first four -
(a) square numbers (2)
(b) triangular numbers (2)
1.3 Set up a number pattern with six terms each, for
(a) square numbers (3)
(b) triangular numbers (3)
1.4 Describe and explain the Pythagoras theorem for right angled triangles (5)
1.5 Sketch a detail example in real life of an application of the Pythagoras theorem (4)
(a) prime numbers (3)
(b) rational numbers (3)
(c) irrational numbers (3)
1.2. Let a white and black straight line cross three times, each time at different angles. Explain the Euclidean idea that opposites angles are the same size (congruent): (2)
find the total area of a regular triangular pyramid if each side of the base is 12 ft. and slant height forms an angle of 45 degree with the altitude.
Select the correct answer.
A software designer is mapping the streets for a new racing game. All of the streets are depicted as either perpendicular or parallel lines. The equation of the lane passing through A and B is -7x + 3y = -21.5. What is the equation of the central street PQ?
A. -3x + 4y = 3
B. -1.5x − 3.5y = -31.5
C. 2x + y = 20
D. -2.25x + y = -9.75
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#339914 on Dec 2023