Geometry
A triangle with two equal sides and two equal angles is called this.
What is an isosceles triangle?
The highest exponent in a polynomial determines this property.
What is the degree?
What is the longest side of a right-angled triangle called?
Hypotenuse
Determine the equation of a linear line that's shifted 2 units up, and stretched by a factor of 2.
y=2x+2
The length of the diagonal of a rectangle with width 6 cm and height 8 cm can be found using this theorem.
What is the Pythagorean Theorem?
A polynomial with only one term is called this.
What is a monomial?
Solve for x in degrees: sinx=3/4
48.59°
A quadratic has points at (2,4), (3,9), and (4,16). After a transformation, its new points are (-2,4), (-3,9), and (-4,16). What transformation(s) occurred?
Reflection on the y-axis
A 3D figure with two parallel circular bases and a curved surface is called this.
What is a cylinder?
The factored form of x^2 - 9 is this
Determine the amplitude, period, and phase shift of y=3cos(30t-60)+12
amplitude=3 period=12 phase shift=12
What is the domain and range of the function y=25(764(x+1.058))²+3
Domain: xER Range: yER, y>3
The equation of a line perpendicular to y=2x+3 and passing through the point (4, 5) has this slope.
What is −1/2
When multiplying (x+2)(x−5), this method is commonly used.
What is FOIL (or distributive property)
A flag pole casts a 20m shadow when the sun's angle of elevation is 35°. Find the height of the flagpole.
14m
list the transformations of the function
y=-0.5(-3x-6)²-8
- reflected on the x-axis
- vertically compressed by a factor of 0.5
- reflected on the y-axis
- horizontally compressed by a factor of 1/3
- shifted 2 units to the left
- shifted 8 units down
In a right triangle, the ratio of the adjacent side to the hypotenuse is known as this trigonometric function.
What is cosine?
The remainder when x^3 - 4x + 6 is divided by (x - 2) can be found using this theorem
What Remainder Theorem
In a right-angled triangle, one angle is double the angle of another. Find the measure of all three angles.
90°, 60°, and 30°
determine the equation of the inverse of the function y=(x+1)/(2x-5)
y=(1+5x)/(2x-1)