# Coordinate system Questions and Answers

Math

Coordinate systemFind the vertical asymptotes, if any, and the values of x corresponding to holes, if any, of the graph of the rational function.
h(x) =x + 3/x(x+4)
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Type an equation. Use a comma to separate answers as needed.)
A. There are no vertical asymptotes but there is (are) hole(s) corresponding to
and hole(s) corresponding to.
B. The vertical asymptote(s) is(are)
C. The vertical asymptote(s) is (are)
D. There are no discontinuities.
There are no holes.

Math

Coordinate systemAnnabelle earned a score of 410 on Exam A that had a mean of 450 and a standard deviation of 40. She is about to take Exam B that has a mean of 43 and a standard deviation of 5. How well must Annabelle score on Exam B in order to do equivalently well as she did on Exam A? Assume that scores on each exam are normally distributed.

Math

Coordinate systemThe light vehicle market share (in percent) in a particular country for pickup trucks
is shown in the graph. Let x = 0 represent 1995, x = 4 represent 1999, and so on.
(a) Use the points on the graph to write equations for the line segments in the
intervals [0,4]and (4,8].
(b) Define this graph as a piecewise-defined function f(x).
Percent
(a) The equation for the line segment in the interval [0,4] is y=.
(Simplify your answer. Use integers or decimals for any numbers in the
expression.)

Math

Coordinate systemA, B, C, and D have the coordinates (-8, 1), (-2, 4), (-3,-1), and (-6, 5), respectively. Which sentence about the points is true?
A. A, B, C, and D lie on the same line.
B. AB and CD are perpendicular lines.
C.AB and CD are parallel lines.
D.AB and CD are intersecting lines but are not perpendicular.
E.AC and BD are parallel lines.

Math

Coordinate systemThe points F(1, 2), G(0, -3), H(5,-4), and I(6, 1) form a quadrilateral. Find the desired slopes and lengths, then fill in the words that BEST identifies the type of quadrilateral.
slope of FG
slope of GH
slope of IF
slope of HI
Quadrilateral FGHI is
length of FG
length of GH
length of HI
length of IF

Math

Coordinate systemGerry plotted the equation y=x² on a coordinate grid. He wants
to translate the graph 4 units to the left and 3 units up. What will
be the equation of the translated graph?
y = (x+3)² - 4
y=(x+3)² +4
y = (x+4)² +3
y = (x+4)²-3

Math

Coordinate systemBenny gets a job at a law firm with a salary of $70,000 per year. After the first year, his salary increases to $73,000. Over the next five years, he gets an increase of $3,000 every year.
If you were to plot a graph of Benny's annual salary, what would the slope and the y-intercept represent?

Math

Coordinate systemDetermine whether each ordered pair is a solution of the equation, y = 3x + 21.
(0,21), (-7,0), (3, -23)
Determine if (0,21) is a solution of the equation, y = 3x + 21.
A. (0,21) is a solution because y does equal 21 when x equals 0.
B. (0,21) is not a solution because y does not equal 21 when x equals 0.
C. (0,21) is a solution because x does equal 21 when y equals 0.
D. (0,21) is not a solution because x does not equal 21 when y equals 0.*
Determine if (-7,0) is a solution of the equation, y = 3x + 21.
A. (-7,0) is not a solution because y does not equal - 7 when x equals 0.
B. (-7,0) is not a solution because x does not equal - 7 when y equals 0.
C. (-7,0) is a solution because y does equal 0 when x equals -7.
D. (-7,0) is a solution because x does equal 0 when y equals - 7.

Math

Coordinate systemUse the shell method to set up the integral that would determine (don't actually integrate) the volume of the following solid: a right circular cone of radius 4 and height 8. (Note that you can generate that cone by revolving a right triangle of base 4 and height 8 in the first quadrant around the y-axis). I strongly recommend you follow the steps I did in my video to set up the riemann sum and make sure the set up is correct.

Math

Coordinate systemCiara flies a drone around an object that is 190 feet west and 230 feet south of her position. The drone
flies a circular path around the object. The drone's path takes it over a point that is 150 feet west and 180 feet north of her.
Find an equation for the drone's path. (Assume Ciara is located at the origin, with the horizontal axis
running east-west and the vertical axis running north-south)
The drone's path follows the equation
Will the drone ever be directly south of Ciara's position?
Yes
No
Impossible to determine
If the drone is ever south of Ciara's position, how far south will it be?
If the drone is never south of Ciara's position, explain why not.

Math

Coordinate systemThe question says "factor 4x² - 12x + 5". What number combinations need to be true?.
multiply to+5 and add up to-12
multiply to+4 and add up to-12
multiply to-20 and add up to -12
multiply to +20 and add up to -12

Math

Coordinate systemFind the coordinates of the orthocenter of a triangle with vertices at each set of points on a coordinate plane.
a. (0,0), (8,2), (2,8)
b. (5,2), (12,9), (4,17)
a. The orthocenter is ....

Math

Coordinate systemWeights for a certain species of newt are normally distributed with a mean of 43 grams and standard deviation 8 grams.
The bell curve below represents the probability distribution for newt weights. The scale on the horizontal axis is equal to the standard deviation. Fill in the three indicated boxes.

Math

Coordinate systemWrite the equation of a line perpendicular to the line:
4
y = x-1
3
that goes through the point (-4, 2).
Write your answer in slope-intercept form, using simplified fractions for the slope and intercept.

Math

Coordinate systemA line passes through the point (8, -8) and has a slope of
3
4
Write an equation in point-slope form for this line.

Math

Coordinate systemDraw a ΔXYZ on a coordinate grid such that the slope of the line segment XY = 2/3. Draw the following transformations and determine if the following transformation will still have the same slope as the pre- image.
Reflection across the x-axis
True
False

Math

Coordinate systemApproximate the area under the curve graphed below from x = 1 to x = 4 using a Left Endpoint approximation with 3 subdivisions.
(You will need to approximate the function values using the graph.)

Math

Coordinate systemFind two angles (one positive and one negative) that are coterminal with -π/3
is a positive angle that is coterminal with -π/3
is a negative angle that is coterminal with -π/3

Math

Coordinate systemMr. Muthig believe that the equation below is an equation for a linear function. Is he correct? Why or why not? Use at least 2 full sentences to explain your thinking
2/3 y - 1/2x = 8

Math

Coordinate systemWrite the equation of a line in slope-intercept form when the
slope is 4 and the line travels through (3, 6).

Math

Coordinate system13. This exercise is about the simultaneous equations
4y - 8x = 4
y = 2x + 1
Follow the instruction given in exercise 12 and answer the questions asked in parts b and c.
a) Try to solve the equations by the substitution method.
b) What can you conclude from the result?
c) What would a graph of these equations consist of?

Math

Coordinate systemWhat point on the line y = 5x + 4 is closest to the origin?
The point on the line y = 5x + 4 closest to the origin is
(Type an ordered pair. Simplify your answer. Type integers or simplified fractions.)

Math

Coordinate systemIf two lines l and mare parallel, then a reflection along the line l followed by a reflection along the line m is the same as a
A) reflection.
B) rotation.
C) composition of rotations.
D) translation.

Math

Coordinate systemFour vertices of ABCD, A(1,4) B(-2,1) C(4,-5) D(7,-2). Identify the shape, slope of AB, CD, AD, BC, AC, and BD the distances, and the slopes of the diagonals, and the distances of them.
Slope of AB:
Slope of AD:
Slope of AC:
Shape:
Distance of AB:
Distance of AD:
Distance of AC:

Math

Coordinate systemWhat is the 5th term in the expansion of
(4x³y² - y)⁹
Drag a value into each box to correctly express the term. Apply the convention of a leading numerical coefficient and variables listed in alphabetical order.

Math

Coordinate systemUse algebra to find the intersection point of the graphs of the given equations.
2x - y = 7
y = 1-2x
What is the intersection point?

Math

Coordinate systemQuestion 4 of 8
Determine whether the graph of the below equation is symmetric with respect to the y-axis, the x-axis, the origin, more than one of these, or none of these.
y¹ = x³ +11

Math

Coordinate systemAn image has coordinates A (1, 2), B (3, 4), C (6, 9). Given an enlargement scale of 2, what would be the new coordinates?
A' (1/2, 1), B' (3/2, 2), C' (3,9/2)
A' (2, 4), B' (6, 8), C' (12, 18)
A' (1, 4), B' (3, 8), C' (6, 18)
A' (2, 2), B' (6,4), C' (12, 9)

Math

Coordinate systemGiven point M (-6,-6√3), which is located on the rectangular coordinate plane, what are the representations of the point in polar form, where -2n ≤ 0≤ 2n?
(12, -4π/3 ),(12, 2π/3 ),(-12, -π/3 ),(-12,5π/3)
(12,4π/3),(12,-2π/3),(-12,π/3),(-12,-5π/3)
(12,π/6),(12,-5π/6),(-12,11π/6),(-12,-π/6)
(12,-π/6),(12,5π/6) (-12,-11π/6),(-12,π/6)