Vega makes a graph that represents a map of a nearby park, using a coordinate system with yards as the units. The gate of the park is at position (4,4) and a park bench is at (2,3). Approximately how far apart are the gate and the bench?

Q: Use points C(0, 1), D(2, 2), and E(-1.-2) Graph the reftection of ACDEacross x-2,

A: The reflection of a point (x, y) about a horizontal line x = c is (x, 2c – y).

Q: Nathan drew a circle on a grid with a radius of 4 units and the point (2, -1) as its center. Which…

A:

Q: The points, if any, at which a graph crosses or touches the coordinate axes are called _______.

A: To fill: The blank of the statement "The points, if any, at which a graph crosses or touches the…

Q: Test for symmetry with respect to each axis and to the origin. y = x4 − x2 + 3

A: Given y=x4-x2+3Test of symmetry about X axis Substitute -y in place of y ,-y=x4-x2+3…

Q: Test for symmetry with respect to each axis and to the origin y = x5 /(4 − x2)

A: To test symmetry of a function about x axis, replace y with -y in the given function y axis,…

Q: Write the equation for the line shown in the given graph. Use points that clearly cross the…

A: NOTE: Refresh your page if you can't see any equations. .

Q: Points A, B, C, and D are consecutive vertices of a regular decagon withsides 20 cm long. AB and DC…

A: Each exterior angle in a regular decagon is 360°. Since number of sides is 10. Therefore, exterior…

Q: Find the coordinates of the vertices after a dilation with a scale factor of 2, centered at the…

A: Coordinate of vertices after dilation: The coordinate of vertex A(x, y) after dilation with a scale…

Q: The points T(-5, 4), U(-2,-2), V(6,-7), and W(3,-1) form quadrilateral TUVW. Plot the points then…

A: Slope of line formed by two points:(x1,y1), x2,y2=y2-y1x2-x1Length:L=x2-x12+(y2-y1)2

Q: A street is 75 cm long and needs to be cleaned. The street cleaning vehicle has wheels that have a…

A: Length of street to be cleaned=75 cm Diameter of cleaning vehicle=1m We know , 1m=100cm So, diameter…

Q: What are the coordinates of each image? Rx-axis(-5# 3) Rx-axis(1, 6)

A:

Q: The point P(9,-2) is reflected over the y-axis. What are the coordinates of its image?

A: The point P(9, −2) is reflected over the y-axis. We have to find the coordinates of its image.

Q: Mya graphed point A (-12, -9) and point B (12, -9) on a coordinate grid. What is the distance…

A: Two points  are drawn on a co-ordinate grid. The points are : A=-12,-9B=12 , -9 We need to find the…

Q: R-acoN) duch that the graph of matches the figure

A: Given, fx = acosx+d  We have to find amplitude, vertical shift, a and d.

Q: Yuson thinks the design she made is symmetric across the dashed line she drew. How can she use…

A: Given design is made so as it is a symmetry of it. There is a dashed line x = y This means the…

Q: If (a,4) is a point on the graph of , y = x2 + 3x. what is a?

A: Given: y=x2+3x, a,4

Q: Write an equation and sketch this graph: The cylinder of radius 2 centered on the line through the…

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Q: IV. Plot the vertex and the endpoints of the latus rectum and sketch the graph of the following…

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Q: Phythagorean theorm , Plot the points (0, 0), (5, 0), and (5, 12) and show that, when connected,…

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Q: In the xy-coordinate plane shown below, point P has coordinates (8, -6). Which of the following is…

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Q: IV. Plot the vertex and the endpoints of the latus rectum and sketch the graph of the following…

A: We are authorized to solve only one question, please repost remaining questions. Quadratic graph

Q: On the graph below, Triangle ABC is dilated using the point (7, 4) as the center of dilation to…

A: Solution:- The step-by-step solution of the above question is given below.

Q: What is the graph of the equation (x – xo)² + (y – yo)² + (z – zo)² = r² ? Sphere Cylinder Plane…

A: we have to cheek and find correct option

Q: 3. The points, if any, at which a graph crosses or touches the coordinate axes are called

A: Fill up: The point, if any, at which a graph crosses or touches the coordinate axes are…

Q: Write the equation of a circle in standard form with center at (2,5) passing through (-2,1) 2.…

A: The standard form of a circle is x-h2+y-k2=r2, where h, k is the center and r is the radius. The…

Q: IV. Plot the vertex and the endpoints of the latus rectum and sketch the graph of the following…

A:

Q: Find the vertex, focus, directrix, and axis of symmetry of (y– 1)²=6(x+5)

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Q: In the Cartesian plane below, rectangle ABCE is shown. у (km) B C(38,16) >x (km) E A boat starts…

A: Think of it all as a top view of a boat in a lake. and forget about the coordinate axes. At first,…

Q: Find the length of the major and minor axes (x-0)° , (y-5)² = 1 625 and find the coordinates of the…

A: The equation of ellipse is given as x-02625+y-52400=1 We can write the above equation as…

Q: Test for symmetry with respect to each axis and to the origin   y = x2 − 6

A: We plug -x in place of x  This equation is the same as the given equation. So the function is…

Q: Test for symmetry with respect to each axis and to the origin. y = x2 + 4x

A: Consider the following equation: y=x2+4x                                  ...... 1 For symmetry…

Q: The plane 3x + y + 2z = 6 is represented by which graph below? Select one:

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Q: Find the verticles, foci and graph a) y=2x2-8x+3

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the distance between each pair of points. If you get stuck, try plotting the points on graph…

A:

Q: Which of the following represents the graph of the equation r = 3cos(20)?

A:

Q: Write the coordinates of the vertices after a dilation with a scale factor of 3, centered at the…

A: Here we have to dilate the given co-ordinates of the rectangle.

Q: The rectangular coordinates of a point are given. Plot the point. (3, 0) y 2-

A: Polar coordinate

Q: a) Sketch the graphs of y= x ^2 , y =x ^2 + 2 and y =x ^ 2 - 2 on the same set of axes. b) What is…

A: In question we need to sketch the graphs and find connection between them.

Q: B) Match the graph and the equation with Parallel, Perpendicular and Nelth Parallel Perpendioular…

A: We area asked to find the equation whether is parallel or perpendicular

Q: Given a level surface -x +y +2 = c. a) Identify the level surface that contains the point (- 13, 5,…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: The point is located on the x-axis, 12 units in front of the yz-plane. Find the coordinates of the…

A: The point is located on the x-axis. Hence, y=0 and z=0. The point is located 12 units in front of…

Q: Test for symmetry with respect to each axis and to the origin y = Ix3 + xI

A: Given, the equation of the curve y = |x3 + x|. And we have to check whether the curve is symmetric…

Q: One endpoint P(4,2) and the midpoint M(7,7) of the line segment PQ are given. Find the coordinates…

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Q: Brittany graphs the point (6,3) on a coordinate grid. Which describes where sheshould plot the point…

A: Given problem:- Brittany graphs the point (6,3) on a coordinate grid. Which describes where…

Q: Identify the vertices, length of the major axis, and length of the minor axis of each. Then sketch…

A:

Q: 9. Which of the following is the graph of a (x – 2)? + (y + 3)? = 121? circle whose equation is А.…

A: As per guidelines We have to solve one question Please repost other question again

Q: On the graph below, drag the purple point to the location ( – 6, – 1.5), and then select the…

A: The complete revolution of purple point forms 360 degrees that is 2π.To reach the point (6,-1.5) we…

Q: write the equation of the graph in its final form: The grapn of y=e*is transiated aunits to the…

A: Given query is to perform the indicated transformation on the function.

Q: The points A(-1.-8), B(5,-6), C(3,-1), and D(-3,-4) form quadrilateral ABCD. Plot the points then…

A: Given

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.