Geometry

Coordinate systemKnown a cube ABCD.EFGH with the side length 3p. A point P,Q, and R on FB,FG,and AD so that BP=GQ=DR=p. Let beta is a slice through P,Q, and R. Find the ratio of the area that result of the proyeksion beta on ABCD with area ABCD
A. 14/18
3. 9/18
C. 13/18
D. 11/18

Geometry

Coordinate systemWhat is the midpoint of a line segment with endpoints at (-1, 4) and (5,8)?
Select one:
O (4,12)
O (6,12)
O (2.6)
O (3,6)

Geometry

Coordinate systemA soccer team has 10 players and needs to choose 2 captains. How many ways can the captains be selected?
Select one:
O 45
O 20
O 90
O 180

Geometry

Coordinate systemWhich lines are perpendicular to each other?
Select two lines.
Choose all that apply:
3x + 2y = 1
3y=-2x +9
3x+y=6
x+3y= −1
x-3y = 5

Geometry

Coordinate systemThe vertices of triangle ABC are A (-4,-2), B (3,0) and C (0,4). Which type of triangle is it?
Select one:
O isosceles
Oright
O obtuse
O acute

Geometry

Coordinate systemWhat is the most specific name of the quadrilateral ABCD created by connecting A (-1,3), B(1,-1), C (-1,-2); and D(-3,2)?
O square
O rhombus
O rectangle
O parallelogram

Geometry

Coordinate systemWhat is the equation of the line that is perpendicular to x + 2y = 4 and passes through (1, 1)
y=2x-1
y=-1/2 x +2/3
y=-1/2 x +3/2
y = 2x

Geometry

Coordinate systemA line passes through A (-2, -1) and B (2,5). What is an equation a line that is perpendicular to
AB? Select all that apply.
Choose all that apply:
y = 3/2x+2
2x+3y=7
3y=-2x + 11
y=-x+8
y=x+4

Geometry

Coordinate systemWrite the following numbers in the polar form e^iθ,0 ≤ θ < 2pi
(a)1/9
r=____ θ=_______
(b) 6+ 6i
r=____ θ=_______
c) - 9 + 9i
r=____ θ=_______
Write your answer for r using either exact value or decimal accurate to at least one deciaml place.
Write your answer for θ in radian and accurate to at least one decimal place.

Geometry

Coordinate system6. For the pair of polynomials given, select all the points of intersection of their graphs.
g(x) = (x+3)(x-7)
h(x) = x - 7
a. (-8,-13)
b. (-7,0)
c. (-2,-9)
d. (-5, -10)
e. (7,0)

Geometry

Coordinate systemFind the coordinates of a point on a circle with radius 30 corresponding to an angle of 220°
(x, y) =
Round your answers to three decimal places.

Geometry

Coordinate systemConvert the polar coordinate (6,2pi/3)to Cartesian coordinates.
Enter exact values.
x=
y=

Geometry

Coordinate systemConvert the Cartesian coordinate (3,1) to polar coordinates, r>0 and 0 <θ< 2pi
r =
Enter exact value.
θ=

Geometry

Coordinate systemFind an angle with 0° <θ< 360° that has the same:
Sine as 20:θ=_________degrees
Cosine as 20:θ=_________degrees

Geometry

Coordinate systemWhich of the following has a slant asymptote when graphed?
Oy=2x³ +3/(x-1)
Oy=2x/(x-1)
Oy= 2x²/(x-1)
Oy=3/(x-1)

Geometry

Coordinate systemFind the point at which the line intersects the given plane.
x = 2 - 2t, y = 3t, z = 1+ t; x+2y-z = 7
(x, y, z)=

Geometry

Coordinate systemDetermine on which line(s) the invariant point lies if the graph of y = f(x) is transformed into:
a) y = -f(x)
b) y = f(-x)
c) y = √f(x)

Geometry

Coordinate systemSketch the region bounded by the surfaces z = √√x² + y2 and x² + y2 = 1 for 1 ≤ z ≤ 7.
(If an answer does not exist, enter DNE. Select Update Graph to see your response plotted on the screen.
(Write an equation for the inner trace at z = 7 using x and y.)
(Write an equation for the outer trace at z = 7 using x and y.).
(Write an equation for the inner trace at y = 0 using x and z.)
(Write an equation for the outer trace at y = 0 using x and z.)
(Write an equation for the inner trace at x = 0 using y and z.).
(Write an equation for the outer trace at x = 0 using y and z.)
(Write an equation for where the two surfaces meet using z.)

Geometry

Coordinate system1. Given a line 2x - 3y = 6 in the plane,
(i) find the slope-intercept equation of the line that passes through
the point (2,-4) and is parallel to the given line; use exact values
for all the numbers in your answer.
(ii) find the slope-intercept equation of the line that passes through
the point (-6, 3) and is perpendicular to the given line.