# Coordinate system Questions and Answers

Math

Coordinate systemFollow the guided instructions below to create the line of reflection that would map the pink figure onto the blue figure Click and drag to draw lines connecting all corresponding points from the figure to its reflected image 10 9 8 7 6 5 4 3 2 1 10 9 y 8 7 6 5 4 3 2 1 L 2 02 4 10 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 x

Math

Coordinate systemThe graph shows the population of black toads in a forest reserve since their introduction It also includes functions drawn by different researchers to estimate the change in population of the toads Which function best models the researchers data Black Toads thousands 16 14 12 10 0 A B OC On function A function B function C function D 2 Black Toad Population D B A 4 6 Years Since Introduction 8 X 10

Math

Coordinate systemThe dash lined figure is a dilation image of ABC with center of dilation P not shown Is the dilation an enlargement or a reduction What is the scale factor n of the dilation a Ob C Od A do 8 4 A op y reduction n 1 2 reduction n 2 reduction n 1 4 enlargement n 2 B X

Math

Coordinate system5 Use the Method of Elimination to find the equation of the line in y mx b form that passes through each set of points Set up a system first like we did Exercises 3 and 4 from the lesson Then solve the system for the slope m and the y intercept b a 3 10 and 5 18 b 2 5 and 6 7 6 Lilly and Rosie are sisters The sum of their ages is 19 and the positive difference of their ages is 9 Set up a system of equations involving Lilly s age L and Rosie s age R assuming that Lilly is the older child Solve the system to find their ages 7 Shana bought sodas and popcorn for the movies Sodas cost 3 each and popcorn costs 4 per bag Shana bought 7 things from the concession all either sodas or bags of popcorn Shana spent a total of 26 Write a system of equations involving the number of sodas s and the bags of popcorn b Solve the system to see how many of each Shana bought

Math

Coordinate systemSelect the correct answer Each week Marcia travels to the office where she works the supermarket and a local fitness center The three locations represent the vertices of a triangle Marcia wants to move to an apartment that is equidistant from these three places Where should her new apartment be located OA the center of the inscribed circle of the triangle the center of the circumscribed circle of the triangle the point of intersection of the angle bisectors for the triangle the point of intersection of the perpendicular bisectors and the angle bisectors for the triangle B OC D Reset Next

Math

Coordinate systemme graph Wh in blue Draw the graph of y f 3x shown in red by determining how a stretch or compression will transform the location of the indicated blue points Drag the movable red points to the desired coordinates Hint Drag the red dot to where you think it should be It will fall into the correct place if you are right You may click on a point to verify its coordinates Provide your answer below 74 6 5 4 3 2 1 A

Math

Coordinate systemLook at the black arrow to the left. This is called a vector
or a directed line segment.
How many spaces is the black vector moving right?
How many spaces is the black vector moving down?

Math

Coordinate systemLuke purchased a warehouse on a plot of land for his business. The figure represents a plan of the land showing the location of the warehouse and parking area. The coordinates represent points on a rectangular grid with units in feet. In the future, Luke has plans to construct a circular storage bin centered at coordinates (50,40) on the plan. Which of the listed measurements could be the diameter of a bin that will fit on the plot and be at least 2 feet away from the warehouse? Select all that apply.

Math

Coordinate systemOne transmitting station is located 170 miles north of another transmitting station. Each station simultaneously sends out a radio signal. The signal from the north station is received 800 milliseconds after the signal from the south station. If the radio signal travels 0.18 miles per millisecond, find the equation of the hyperbola on which the ship is presently located.

Math

Coordinate systemPlot the point given by the following polar coordinates on the graph below. Each circular grid line is 0.5 units apart. Points can be moved by dragging or using the arrow keys. If using the arrow keys, note that the right/left arrow will increase/decrease the radius and the up/down arrow will increase/decrease the angle.

Math

Coordinate systemIn the coordinate plane below, plot the three points corresponding to the values x = -2, x = 0, and x = 2
in the equation y = x-2.

Math

Coordinate systemDetermine the slope and intercepts of the graph below.
Vertical Intercept
Horizontal Intercept

Math

Coordinate systemConsider the function: f(x) = x² + 8x - 20
The direction of the graph is like which of the following:
The y-intercept is at y =
The x-intercepts are at x =
The vertex is at the point

Math

Coordinate system1. On November 27th 2021, low tide in a harbour occurs at midnight with a depth of 3 meters.
High tide occurs at 12:00 pm that day, with a depth of 11 meters.
a) Graph the depth in the harbour for the first 48 hours.

Calculus

Coordinate systemThe graph of x =- 4t and y = 3t^2 is a
a. Circle
b. Ellipse
c. Parallel Lines
d. Half Parabola
e. Parabola

Math

Coordinate system1. Follow the steps below to help you prove or disprove that the point (1, V15) lies on the circle that is centered at the origin and contains the point (0, 4). To earn full credit, you must show your work.
Step 1: Plot a point at the origin and at (0, 4). Use these to help you draw the circle centered at the origin that contains (0, 4).
Step 2: Determine the radius.
Step 3: Use the radius and the coordinates of the center to write the equation of the circle.
Step 4: Substitute the x- and y-coordinates of the point (1, V15) in the equation of the circle to check whether they satisfy the equation.