Geometry

Coordinate system2. Graph a polynomial function of degree 5 with at least two unique x-intercepts and passes through
the point (0, -2). Be sure to number the axis. Determine the equation of the polynomial. Show all
your work.

Geometry

Coordinate systemWhat is the angular closure for the following interior field angles of traverse ABCDEF, measured with equal precision?
A. 87° 54' 14"
B. 90° 32' 45"
C. 102° 43' 31"
D. 99° 24' 34"
E. 156° 01' 55"
F. 183° 23' 01"

Geometry

Coordinate systemThe linear equation 5y - 3x - 4-0 can be written in the form y =mx + c. Find the value of m and c.
A. m=-3,c=0.8
b. m=0.6,c=-4
c. m=-3,c=-4
d. m=0.6,c=0.8

Geometry

Coordinate systemconsider the map given by F(x)=1-x² discuss the charactristics of the orbits starting at x=0

Geometry

Coordinate systemA curve with polar equation r =8/3 sin 019 cos 0
represents a line. This line has a Cartesian equation of the form y = mx +b,where m and b are
constants. Give the formula for y in terms of x. For example, if the line had equation y = 2x + 3 then
the answer would be 2 x + 3.
y =

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.