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Use the following to show different representations of square numbers
1.1)Square grid
1.2Isometric dotty paper
1.3) Square dotty paper
What is the weight of a steel plate 15 ft. long, 4 ft. wide, and 5/8 inch thick, if the steel weights 475 lb./ft.^3?
An equilateral triangle ABC has coordinates O(0, 0), B(a, 0) and C(c, d).
a Find c and d in terms of a by using the fact that OB = BC = CO.
b Find the equation of the lines OB, BC and CO.
In any triangle PQR prove that PQ2 + PR2 = 2(PS2 + SR2)
Where S is the midpoint of QR.
Prove that the midpoints of a parallelogram bisect each other using coordinate geometry.
Solution
Exercise 102
Suppose a ball is dropped from a height of 200m. If time after the ball was released is in seconds, and the height of the ball above the ground at time is given by
, find the average velocity from to
Show that the slope of the line joining the points A(1,1) and B is
A line passes through the points (0, 5) and (9, −1). Find the equation of the line which is perpendicular to the line and passes through its midpoint.
Find the equation of the line that is parallel to the line y = −2x + 6 and passing through the point A(1, 10).
A square has vertices O(0, 0), A(a, 0), B(a, a) and C(0, a).
i Find the midpoint of the diagonals OB and CA.
ii Find the length of a diagonal of the square and the radius of the circle in which OABC is inscribed.
Iii Find the equation of the circle inscribing the square
How to Calculate the perimeter of a 3quarter of a circle with radius 4cm
A and B is -7x + 3y = -21.5. What is the equation of the central street PQ?
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
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?
Which quadrilaterals are described by the following characteristics? (Name them.) Draw each one neatly. (Do not assume properties that are not given.)
10.1 A rectangle with adjacent sides equal
10.2 A quadrilateral in which the non-parallel sides are equal
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? choices are
A.-3x + 4y = 3
B. -1.5x − 3.5y = -31.5
C. 2x + y = 20
D. -2.25x + y = -9.75
