25. Match the equations listed in parts (a)-(d) to the graphs in theaccompanying figure.a. y - (x - 1) – 4c. y = (x + 2)? + 2b. у - (х — 2)?+2d. y = (x + 3)? - 2Position 2Position 132(-2, 2)(2, 2)Position 3-4 - 3- 2-0 1 2 3Position 4/(- 3, - 2)(1, -4)

The quadratic equation is an equation of two variables with the order of one variable is 2. The…

Answered: 25. Match the equations listed in parts…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section: Chapter Questions

Problem 30RE

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Find a system of two equations in two variables, x1 and x2, that has the solution set given by the parametric representation x1=t and x2=3t4, where t is any real number. Then show that the solutions to the system can also be written as x1=43+t3 and x2=t.
Is the point (0,8) on the x-axis or y-axis? How do you know?
1. a. Clare is cycling at a speed of 12 miles per hour. If she starts at a position chosen as zero, what will her position be after 45 minutes? b. Han is cycling at a speed of -8 miles per hour; if he starts at the same zero point, what will his position be after 45 minutes? c. What will the distance between them be after 45 minutes?
You wish to cross the 11 m x 10 m courtyard without being detected by the two guards and escape through a door located on the western wall. Guard 1 is located in a tower at the northeast corner of the yard and Guard 2 is located in the yard, in the southwest corner, as shown in the figure below. Guard 1 can hear you if anything more than 1/36 of the footstep sound energy reaches them; similarly Guard 2 can hear you if anything more than 1/16 of the footstep sound energy reaches them (Guard 1 can hear more due to his elevated height in the tower). Assume for now that both guards are fixed at these locations and cannot move unless they detect you. Based on this information, answer the following questions. 1. determine if it exists, the safe distance between the two hearing zones of the guards for you to pass through undetected? (Hint: use Pythagorean Theorem or distance formula) Distance between two red dots is:________________ . (5 pts) We know that the radius of the hearing zones are:…
You wish to cross the 11 m x 10 m courtyard without being detected by the two guards and escape through a door located on the western wall. Guard 1 is located in a tower at the northeast corner of the yard and Guard 2 is located in the yard, in the southwest corner, as shown in the figure below. Guard 1 can hear you if anything more than 1/36 of the footstep sound energy reaches them; similarly Guard 2 can hear you if anything more than 1/16 of the footstep sound energy reaches them (Guard 1 can hear more due to his elevated height in the tower). Assume for now that both guards are fixed at these locations and cannot move unless they detect you. Now assume that Guard 2 is on patrol. He walks a straight patrol route up and down along the dotted line always remaining 3 m from the western wall. Determine the new maximum safe distance between the two hearing zones of the guards for you to pass undetected? (Hint: use Pythagorean Theorem or distance formula) Where is the Guard 2 located for…
You wish to cross the 11 m x 10 m courtyard without being detected by the two guards and escape through a door located on the western wall. Guard 1 is located in a tower at the northeast corner of the yard and Guard 2 is located in the yard, in the southwest corner, as shown in the figure below. Guard 1 can hear you if anything more than 1/36 of the footstep sound energy reaches them; similarly Guard 2 can hear you if anything more than 1/16 of the footstep sound energy reaches them (Guard 1 can hear more due to his elevated height in the tower). Assume for now that both guards are fixed at these locations and cannot move unless they detect you. Now assume that Guard 2 is on patrol. He walks a straight patrol route up and down along the dotted line always remaining 3 m from the western wall. Determine the new maximum safe distance between the two hearing zones of the guards for you to pass undetected? (Hint: use Pythagorean Theorem or distance formula) Where is the Guard 2 located for…
Suppose you are climbing a hill whose shape is given by the equation z = 1,300 − 0.005x2 − 0.01y2, where x, y, and z are measured in meters, and you are standing at a point with coordinates (80, 80, 1204). The positive x-axis points east and the positive y-axis points north.
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25. Match the equations listed in parts (a)-(d) to the graphs in the accompanying figure. a. y - (x - 1) – 4 c. y = (x + 2)? + 2 b. у - (х — 2)?+2 d. y = (x + 3)? - 2 Position 2 Position 1 3 2 (-2, 2) (2, 2) Position 3 -4 - 3- 2-0 1 2 3 Position 4/ (- 3, - 2) (1, -4)