Coordinate system Questions and Answers
![2. 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.](https://media.kunduz.com/media/sug-question/raw/84409516-1657200619.8301241.jpeg?w=256)
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.
![What 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"](https://media.kunduz.com/media/sug-question/raw/84396970-1657185337.2516782.jpeg?w=256)
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"
![The 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](https://media.kunduz.com/media/sug-question/raw/84385120-1657185222.6966865.jpeg?w=256)
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
![Find the first fundamental form of polar coordinate of xy-plane.](https://media.kunduz.com/media/sug-question/raw/84356530-1657183516.8880033.jpeg?w=256)
![consider the map given by F(x)=1-x² discuss the charactristics of the orbits starting at x=0](https://media.kunduz.com/media/sug-question/raw/84337469-1657128649.1074262.jpeg?w=256)
Geometry
Coordinate systemconsider the map given by F(x)=1-x² discuss the charactristics of the orbits starting at x=0
![Rewrite the polar equation r = 3 cos (θ) as a Cartesian equation.](https://media.kunduz.com/media/sug-question/raw/84225411-1657040933.4892926.jpeg?w=256)
![A 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 =](https://media.kunduz.com/media/sug-question/raw/84225671-1657040895.7367022.jpeg?w=256)
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 =
![Known 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](https://media.kunduz.com/media/sug-question/raw/84267820-1657038575.3089728.jpeg?w=256)
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
![Solve graphically (using the Cartesian Plane): f(x) = |x|-2>-x² +4.](https://media.kunduz.com/media/sug-question/raw/84205255-1657038158.7981017.jpeg?w=256)
![What 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)](https://media.kunduz.com/media/sug-question/raw/84225715-1657038114.7142541.jpeg?w=256)
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)
![A 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](https://media.kunduz.com/media/sug-question/raw/84227468-1657036919.4440475.jpeg?w=256)
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
![Which 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](https://media.kunduz.com/media/sug-question/raw/84225703-1657036868.1815612.jpeg?w=256)
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
![The 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](https://media.kunduz.com/media/sug-question/raw/84225730-1657036743.2100682.jpeg?w=256)
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
![What 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](https://media.kunduz.com/media/sug-question/raw/84225709-1657036686.905408.jpeg?w=256)
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
![What 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](https://media.kunduz.com/media/sug-question/raw/84225682-1657036502.6410868.jpeg?w=256)
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
![A 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](https://media.kunduz.com/media/sug-question/raw/84225697-1657036370.5148876.jpeg?w=256)
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
![Write 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.](https://media.kunduz.com/media/sug-question/raw/84226975-1657029742.7527144.jpeg?w=256)
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.
![6. 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)](https://media.kunduz.com/media/sug-question/raw/84225099-1657028603.3465674.jpeg?w=256)
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)
![Find 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.](https://media.kunduz.com/media/sug-question/raw/84212181-1657017749.0118206.jpeg?w=256)
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.
![Convert the polar coordinate (6,2pi/3)to Cartesian coordinates.
Enter exact values.
x=
y=](https://media.kunduz.com/media/sug-question/raw/84212290-1657017018.9085886.jpeg?w=256)
Geometry
Coordinate systemConvert the polar coordinate (6,2pi/3)to Cartesian coordinates.
Enter exact values.
x=
y=
![Convert the Cartesian coordinate (3,1) to polar coordinates, r>0 and 0 <θ< 2pi
r =
Enter exact value.
θ=](https://media.kunduz.com/media/sug-question/raw/84212341-1657016794.628865.jpeg?w=256)
Geometry
Coordinate systemConvert the Cartesian coordinate (3,1) to polar coordinates, r>0 and 0 <θ< 2pi
r =
Enter exact value.
θ=
![Find an angle with 0° <θ< 360° that has the same:
Sine as 20:θ=_________degrees
Cosine as 20:θ=_________degrees](https://media.kunduz.com/media/sug-question/raw/84212430-1657016687.880707.jpeg?w=256)
Geometry
Coordinate systemFind an angle with 0° <θ< 360° that has the same:
Sine as 20:θ=_________degrees
Cosine as 20:θ=_________degrees
![Which 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)](https://media.kunduz.com/media/sug-question/raw/84168359-1656997390.6030362.jpeg?w=256)
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)
![Find 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)=](https://media.kunduz.com/media/sug-question/raw/84162053-1656959169.3665833.jpeg?w=256)
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)=
![Determine 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)](https://media.kunduz.com/media/sug-question/raw/84212705-1656956633.1183612.jpeg?w=256)
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)
![Sketch 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.)](https://media.kunduz.com/media/sug-question/raw/84203529-1656939785.9783404.jpeg?w=256)
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.)
![graph the given functions on the coordinate plane.
f(x) = (3)^x](https://media.kunduz.com/media/sug-question/raw/84199628-1656926192.864111.jpeg?w=256)
![1. 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.](https://media.kunduz.com/media/sug-question/raw/84202144-1656919840.2384636.jpeg?w=256)
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.