Give an example of a plane graph that is both 2-colourable-(f) and 2-colourable-(v).

Q: ) Use shifting graph to sketch a) y+2 =|-3 + vx| b) y = -1+ 5sin (2x)

A:

Q: Use shifting graph to sketch a) y = |(x – 2)² – 1|+1 b) y = 2 – 5sin (3x) -

A: We have to graph the functions by using shifting... a. y=x-22-1+1b. y=2-5sin3x

Q: Which graph shows the image of (D2 ° Ry-axis)(4, –3)?

A: In this question, the concept of graph transformation is applied. Graph Transformation A…

Q: Sketch a graph of the plane 3x + 6y + 2z = 6 and label any intercepts.

A:

Q: Graph the Image of kite QRST after a reflection across the line y = -4. 10 8- 4 -10 -8 -6 -4 -2 4 6.…

A: The reflection of the given image is Q'R'S'T'.

Q: Consider the point (3,4,5) What is the projection of the point on the xy-plane?

A: The given point is (3,4,5).

Q: What kind of transformation results in applying the rule (x, y) → (x – 5, y) in the coordinate…

A:

Q: a graph of the plane.

A:

Q: Show that the point (5,4,2), (6,2,-1) and (8,-2,-7) are collinear

A:

Q: Sketch a graph of the plane 2x + y = 8 and label any intercepts.

A: 2x + y = 8 x intercept:    Put y = 0 2x + 0 = 8 2x = 8 x = 4 x intercept is (4, 0).

Q: Sketch a graph of the plane x + z = 6 and label any intercepts.

A: given equation of plane is x + z=6 we have to find intercept of above plane put y=z=0 in above plane…

Q: A graph is symmetric with respect to the x-axis and to the y-axis. Is the graph also symmetric with…

A: Yes, if a graph is symmetric about x and y axis then it must also be symmetric about origin.

Q: Determine the parametric and symmetric equation of line passing through the points (1, –3,2), (5,…

A: To find the parametric and symmetric equation of line passing through the points (1,-3,2) ,(5,-2,8)…

Q: 2. The x- and y-axes divide the coordinate plane into four regions called

A: Given: The x and y axes divide the coordinate plane into four regions

Q: plot the ordered pairs(2,-3) and (3,5) on the Cartesian Plane. draw a line that passes through these…

A:

Q: Sketch a graph of the plane y = −2 and label any intercepts.

A: Given y = −2 .

Q: ) Use shifting graph to sketch a) y = |1 – V|+2 b) y = -1+ 2sin (x +-)

A: Here we have to use shifting graph to sketch,  a) y=|1-x3|+2 b) y=-1+2sinx+π2

Q: Find a parametric representation of a straight line passing through (1,2,1) in the direction of…

A:

Q: Find the standard form of equation of elipse satisfying the given conditions. foci: (-6,0),…

A: Given, foci: (-6,0), (6,0); vertices: (-12,0), (12,0) To find, the standard form of equation of…

Q: Use the given vertices to graph AXYZ and its image after a dilation centered at the origin with…

A: We have to find the dilated traingle coordinates which is centred at origin.

Q: What is the image of (8, –7) after a reflection over the line y = -x?

A: When we reflect a point from from the line y= -x  There is a sign change in both coordinate occurs.

Q: Decide whether or not the graph is planar. Justify your response with specific information,…

A:

Q: Sketch a graph of the plane 2x − y + 3z = 4 and label any intercepts.

A: To find the x-intercept for ax+by+cz=p, let y and z equal 0 and solve for x. find the y and z…

Q: Use slopes to show that the triangle whose vertices are ( - 2, 5), (1, 3), and      ( - 1, 0) is a…

A: Let, (x1, y1) = (-2, 5), (x2, y2) = (1, 3), and (x3, y3) = (-1, 0)

Q: What are the coordinates of the image of vertex F after a reflection across the line y = -x? O (-1,…

A: Given: Vertex F=(1,-3) To find: Reflection across y=-x and new vertex F'=??

Q: graph is planar,

A:

Q: What is the image of (-6,0) after a reflection over the line y = -x? %3D

A:

Q: The distance from the point K(3, -2, 0) to the xy-plane is Select one: 3 -2

A: Find out the correct option.

Q: What is the image of (-2,3) under the reflection in the x-axis?

A:

Q: Describe the plane x = 4.

A: Given, plane x=4we have to describe the plane x=4

Q: Sketch a graph of y I – 1

A: Given: y=-x-1 To do: Graph the given function.

Q: Add to the picture so that it has a reflection symmetry. Show the line of symmetry.

A:

Q: What is the image of (-1, -4) after a reflection over the line y = -x?

A: Topic = Coordinate geometry   when a point is reflected across the line y = -x, the x-coordinates…

Q: Find the point on the surface fx,

A:

Q: The graph of the relation y = mx + 35 passes through the point (8,–77). Determine the value of m.

A:

Q: Plot these points on graph paper: (8,3), (-6,-1), (-1, 8), (3,-6). a. Show that the diagonals have…

A: Use the mid point formula and check the midpoint of the diagonal and then use the slope formula to…

Q: The coordinate axes divide the xy-plane into four sections called  _______ .

A: Coordinate axes

Q: What is being constructed in the image?

A: Choose a correct option.

Q: Find tu are and centrord banded by 2 X ニ 4-4y 4-y Graph. こ

A: Given boundary curves1. x = 4-y2  ⇒ y=±x-42. x = 4-4y  ⇒ y= 144-xPlot the curves, get the…

Q: Prove that the graph below is non-planar.

A: Given the graph:           Prove that the graph is non-planar.

Q: Sketch a graph of each surface. Then, match each surface to its brief description in words.

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 6 Use the graph to estimated the x- and y-

A: Introduction: A graph's x-intercept is the point at which the graph crosses the x-axis. (Because a…

Q: Sketch a graph of the plane 4x + 2y + 6z = 12 and label any intercepts.

A: Given equation is: 4x + 2y + 6z = 12

Q: rmula to the corresponding graph. 2-

A: We have to choose the correct answer from the given options according to the given information

Q: Draw a complete graph so that it has symmetry with respect to the origin. (0,0) (x,0) -2t -2-

A: Topic = Graphs Correct option = C

Q: How to find the distance between two graph points

A: Given, We have to find the  distance between two graph points .

Q: A certain shade of purple paint is made by mixing blue and red paint. The relationship between the…

A: Given, number of quarts of Blue paint is represented by x  number of quarts of Red paint is…

Q: A ball sits on the point (1,1) and touches the f(x,y)=5-(x^2+y^2). In which direction graph of will…

A: Here is the solution of the given problem.

Q: Show that the midpoint of the line Transforms to the midpoint of the transformed line by taking an…

A: Note:- According to given question proof depends on example.

Q: Show a plane graph, which is isomorphic to its dual.

A:

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.