Vectors
Point A is at (8,4) and point B is at (-12,2). What is the vector BA in standard unit vectors i and j?
What is 20i +2j?
Find the discriminant of the equation: 32x2-29x+12
What is -695?
Rotate the following point counterclockwise 90 degrees:(-5,-9)
What is (9,-5)?
Given the center (-1,0) and the radius 5, write the equation of the circle
What is (x+1)2+y2=25?
Find the dot product of the vectors <7,-2> and <10,4>.
What is 62?
Find (i9482309417982386729023496027)/i2304823482624
What is -i?
Rotate the following point clockwise 90 degrees:
P(-2,7)
What is P'(7,2)?
Find the area of a sector of a circle that measures 83 degrees and has a radius of 5.
What is 18.11?
Find the directional angle of the vector <-4,7> in degrees
What is 119.74 degrees?
Is x a pure or nonpure imaginary number:
3(x-2+i)=5+12x-11+7i
What is a Pure imaginary number?
Reflect Triangle MNP with vertices M(-6, -8), N(-1, -6), and P(-2, -8) over y = -5
What is
M'(-6,-2)
N'(-1,-4)
P'(-2,-2)?
What is the diameter of the circle given the equation:
(x-2)2+(y+8)2=29
What is 2(sqrt(29)) or 10.77?
Given vector u<6,-1> and vector f<1,4>, find the linear combination of 2(f-6u).
Simplify (5i-2)(2i+9)-3i
What is -28+38i?
Transform the function 5 units up and 4 units left:
f(x)=x4+3x2+4
What is f(x)=(x+4)4+3(x+4)2+9?
Given the tangent line x=-4 and the center (3,9), find the equation of the circle
What is (x-3)2+(y-9)2=49?
Find the angle between the vectors <-2,4> and <-5,9>
What is 2.49?
Given the solution (-1+sqrt(31)i)/8, write a possible quadratic equation with the solution WITHOUT FRACTIONS.
What is 4x2+x+2=0 or
-4x2-x-2=0?
Let's say that i want to stretch the function f(x) = 2x^2+3x-7 horizontally and make it wider without changing the y-intercept. Which of the following functions does this:
g(x)=f(2x)
h(x)=2f(x)
i(x)=1/2f(x)
j(x)=f(x/2)
What is j(x)=f(x/2)?
Find the area of the circle given the endpoints of the diameter: (-18, -3) and (8, 11).
What is 684.87?