Quadratics
Find the vertex of the following equation:
f(x)= (x-2)2 + 3
(2,3)
Write an equation of a line through the points (2,3) and (-1,-3) in slope intercept form.
y = 2x - 1
Expand the following:
(x-3)(x2-2x+1)
x3 - 5x2 - 5x -3
Sin(A) is equal to what ratio in the picture?
12/13
See picture
40 degrees
Write the coordinates of the x and y intercepts of the equation:
y = (x-3)(x+2)
y-int = (0,-6)
x-int = (3,0) and (-2,0)
What is the slope of the line parallel to y = 3x - 4
slope = 3
Factorize the following:
4x3 - 8x
4x(x2 - 2)
Find the side labeled x in the picture, round to the nearest tenth.
13.8
Draw a sketch of a bearing of 220 degrees from B to A
See pic for solution
y = x2 - 3x - 2
x = -0.6 and 3.6
What is the slope of the line perpendicular to the line:
y = 3x - 4
-1/3
Simplify:
(x2 - x - 2)/(x2 + x - 6)
(x + 1)/(x + 3)
Find the angle labeled theta in the picture. Round your solution to the nearest tenth.
50.0
Find the bearing from B to A in the picture.
274 degrees
Use the quadratic formula to find the roots of the following function, write your answer(s) to the nearest tenth.
y = x2 + 4x + 4
x = -2
Find the equation of the line parallel to y = -2x+4 that goes through the point (1,-6)
y = -2x - 4
Make b the subject of the equation:
3a - 6/b = 2c
b = -6/(2c - 3a)
The angle of elevation of the top of the building at a distance of 50 m from its foot on a horizontal plane is found to be 60 degree. Find the height of the building to the nearest tenth of a meter.
86.6 meters tall
See the picture
115 degrees
Solve the following quadratic by factoring.
y = 2x2 + 3x - 2
x = -2 and 0.5
Find the equation of the line that is perpendicular to
y = 0.5x - 2 and goes through the point (1,-1)
y = -2x + 1
(x2 y3)2/(x5 y2)
y4/x
A 20 foot pole that is leaning against a wall reaches a point that is 18 feet above the ground. Find to the nearest degree the angle that the pole makes with the ground.
64 degrees
Find the bearing from Aberdeen to Crew
135 degrees