ALGEBRA
Find the constant b so that the three points A(2 , 3), B(4 , 7) and C(8 , b) are collinear.
The slope of the line through A and B must be equal to the slope of the line through B and C.
(7 - 3)/(4- 2) = (b - 7)/(8 - 4)
solve the above for b to find b = 15.
What is the formula for the area of a triangle?
A=(1/2)bh
How many trigonometric functions are there?
6
What is the median of the data set 3, 7, 9, 5, 12?
7
What is the derivative of 5x3?
15x2
Find the y intercepts of the graph of the equation 2x + 4y = 5.
(0,5/4)
An inscribed angle in a circle is formed by...
two chords
(sin30° + cos30°) – (sin 60° + cos60°)
0
Age is classified as what level of measurement?
Ratio
What is the limit of 1/(x-1) as x goes to infinity?
0
Find the domain of the function f(x) = 1 / (x - 2)
All real numbers except 2.
What is the total number of degrees in a heptagon?
900o
What trig ratio should be used to calculate either side a or h?
Cos ϴ
The average of seven observations 7, 9, 12, x, 5, 4, 11 is 9. The value of x is?
15
Give the coordinates of the circle's center and it radius. ( x − 2)2 + (y + 9)2 = 1
(2,-9) and r=1
Find the slopes of the line parallel to the line whose equation is given by 5x - 3y = -3.
m=5/3
What type of triangle has three equal sides?
Acute triangle.
Given: D is the midpoint of A and C, AB= CB.
Prove: Triangle ABD is Congruent to triangle CBD.
Which congruency theorem/postulate proves that the triangles are congruent?
SAS or SSS
What is the most commonly used statistical measure of spread in a normally-distributed population?
Standard Deviation
This is a curve formed by the intersection of a plane and a double circular right cone.
Conic sections
Find the linear function f(x) = A x + B such that f(2) = 1 and f(4) = -3.
f(x) = -2x + 5
How many dimensions do points have in Euclidean geometry?
2
Who is the father of trigonometry?
Hipparchus
What value are we going to use when we observe the data if the null hypothesis is true?
P-value
Given the radius is 8 and the center is at the origin, find the equation of the circle.