Vectors
The initial point is (1,0) and the terminal point is (7,-3). Compute the vector and draw it (somewhat accurately).
<6,-3>
I'll judge the drawing.
Fill in the blank. We can only use Pythagorean Theorem when we have a __________ triangle.
right
parameter.
Factor the following:
x^2-10x+21
(x-3)(x-7)
22/7 is a common approximation for which mathematical constant?
pi
A person walks in a straight line at a constant speed. After an hour the person has walked 3 miles south and 4 miles west. What vector can be used to depict this displacement.
<-4,-3>
True or False an equilateral triangle has 2 sides that are equal and one side that is different.
False
You are asked to convert the line y=3x+2 into a set of parametric equations. Without any extra context could you tell the direction that the parametric equation is moving in as time passes? Explain why.
No
Factor the following:
64x^2-9
(8x-3)(8x+3)
Name 3 countries that start with the letter V
Venezuela, Vietnam, Vatican City, Vanuatu, more???
You are given the vector <10,-3>. Find the vector that is 1/4th as long and points in the opposite direction.
<-10/4 , 3/4>
Draw an isosceles triangle with one obtuse angle of 120 degrees.
I will judge the drawing.
A runner runs 50 feet north and 15 feet west in 5 seconds. What is the rate of change in the x direction and the rate of change in the y direction per second? Must include units.
\Delta x = -3 \frac{ft}{s}, \Delta y = 10\frac{ft}{s}
Solve the following equation by first factoring:
3x^2-2x-8
(3x+4)(x-2)
What US state is at the top right corner? (i.e. furthest east and furthest north)
Maine
A vector
vec{U}=<3,7>
what is the magnitude of this vector?
sqrt{58}
I'll judge the drawing.
Compute the parametric equations for the line that goes from point (3,13) to (4,-14).
x(t) = 3+t
y(t) = 13 -27t
Find all solutions to the following equation:
x^2(5x-3)(x^2-9)=0
x=0; x=3/5 ; x=3 ; x=-3
What is Ms. Trobaugh's favorite color?
Blue
A bug's movement can be explained by the following parametric equations:
x(t) = 3-4t
y(t) = 0.5+11t,
t represents time in seconds. As time goes on in what direction is the bug moving? Represent this direction as a vector.
<-4,11>
Of the following side and angle descriptions of a triangle which ones guarantee congruency, and which one's don't? Of the one's that do not guarantee congruency which one's at least tell us a triangle is similar?
SSS; SAS; AAS; SSA; AAA; ASA
Congruent: SSS, SAS, AAS, ASA
Similar: AAA
Neither: SSA
Convert the following line into a set of parametric equations:
2x-5y=20
(0,-4) and (10,0) are my two points. My parametric equations are:
x(t) = 10t
y(t) = -4+4t
Your friend claims that solutions to his favorite polynomial are x=2, x=-3 and x=0. Assuming that the leading coefficient is a 1, what is your friends favorite polynomial?
x^3+x^2-6x
Which of the following is not a country:
Papua New Guinea
Mozambique
Cyprus
Milan
Malta
Milan