Determine whether the given statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement : The graph of x = 7 in the rectangular coordinate system is the single point (7, 0).

Q: 11x 3x

A:

Q: Use a graphing calculator to graph the equation in the given viewing rectangle.

A: To graph the equation y=0.01x3-x2+5, first set the viewing rectangle by pressing th WINDOW button as…

Q: Determine whether the graph of the equation is symmetric with respect to the y-axis, the x-axis, the…

A: Given:- x=y2+1 To find:- Determine whether the graph of the equation is symmetric with respect to…

Q: Determine whether the below statement is true or false. If the statement is false, make the…

A: The given statement is True . If a point is on y-axis then its x-coordinate must be zero .

Q: Graph the equation by plotting points. 8y + 4x= 8 Use the graphing tool to graph the equ Click to…

A: the given equation is 8y+4x=8 we have to graph the given equation by plotting points.   the equation…

Q: Find the dependent value for the graph y = 15 – 3x when the independent value is 2. y [?]

A: We have to find the y value

Q: A cookie company uses one cup of sugar for every 25 cookies it makes. Let S represent the total…

A: A cookie company uses one cup of sugar for every 25 cookies it makes.

Q: Determine whether the graph of the given equation is symmetric with respect to the y-axis, the…

A: Consider the following equation:

Q: Use a graphing calculator to graph the equation in the given viewing rectangle.

A: Given: y=0.03x2+1.7x-3; [-100,50] by [-50,100]            that is -100≤x≤-50  and 50≤y≤100

Q: Determine whether the graph of the equation is symmetric with respect to the y -axis, the x -axis,…

A: Given query is to find the axis of symmetry for the function.

Q: Determine whether the graph of each equation is symmetric with respect to the origin. (a) x2 + y2 =…

A: We have to determine whether the graph of each equation is symmetric with respect to theorigin.…

Q: Determine whether the graph is symmetric with respect to the y-axis, x-axis, or origin. a. y = |x|…

A: Given a. y=xy=xx≥0-xx<0 this curve is symmetric with respect to the y-axis only.

Q: Translate axes to identify the graph of equation and write equation in standard form. x2 + y2 − 2x −…

A: The given equation is x2+y2-2x-6y+10=0. Rewrite the above equation as follows.…

Q: graph the two equations and find the points atwhich the graphs intersect.y = 2x, x2 + y2 = 1

A: graph the two equations and find the points atwhich the graphs intersect.y =…

Q: For the equation below, determine whether its graph is symmetric with respect to the x-axis, the…

A:

Q: Find a set of equations to represent the graph of the rectangular equation using t=x and t=2-x. y=…

A: The given rectangular equation,y=4x-2

Q: Transform the equation into general form. Draw its graph. (x+3)² + (y−4)² = 36

A: As we know the general form of the equation of the circle is: x2+y2+2gx+2fy+c=0 Where; The Center is…

Q: Translate axes to identify the graph of equation and write equation in standard form. x2 + y2 − 8x −…

A: Consider the equation x2+y2-8x-6y=0 to write it on standard form, complete the square with x and y.

Q: For Exercise, determine whether the graph of the equation is symmetric with respect to the x-axis or…

A:

Q: Determine whether the graph of the given equation is symmetric with respect to the y-axis, the…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: Determine whether each point lies on the graph of the given equation by substituting the point…

A: To whether each point lies on the graph of the given equation by substituting the point

Q: Sketch the graph of the equation, and label the x- and y-intercepts

A: Given y=14x

Q: x = 12 + 3 y = 2t [-2, 2]

A:

Q: For Exercise, graph the equation. y = Vx + 2

A: The graph of the equation is shown in the figure below.

Q: Use a graphing utility to graph the equation 9x2 + 24xy + 16y2 + 90x - 130y = 0.

A: Given9x2+24xy+16y2+90x-130y=0.  Need…

Q: For Exercise, determine whether the graph of the equation is symmetric with respect to the x-axis or…

A: Note that, a graph is said to be symmetric about the y-axis if whenever (a, b) is on the graph then…

Q: Match each equation with its graph. (x – 6)2 + (y– 1)² = 3 (x + 6)2 + (y – 1)² = 3 (x+6)² + (y+ 1)²…

A: The graph is shown below:

Q: Use a graphing utility to graph the equation: x2 + 4xy + 4y2 + 10√5x - 9 = 0

A: we have been given the equation   x2 + 4xy + 4y2 + 10√5x - 9 = 0

Q: Sketch the graph of the equation, and label the x- and y-intercepts

A: Solution: Consider the given equation is: y = -x Graph:

Q: Find the dependent value for the graph y = 15 – 3x when the independent value is 2. %3D y = [?]

A: Consider the dependent variable y=15-3x Here, the objective is to find the value of dependent…

Q: Use a graphing utility to graph the equation 7x2 + 6xy + 2.5y2 - 14x + 4y + 9 = 0.

A: The equation is 7x2+6xy+2.5y2-14x+4y+9=0. To sketch the function using a graphing utility, enter the…

Q: Use a graphing calculator to graph the equation in the given viewing rectangle.

A: Given equation is y=256 - x24 Given limit [-20, 20] by [-2, 6]

Q: Do Now: 2. Based on the graph given: a) List the points as ordered pairs. .D A B, E E F A • b) List…

A: 2)   (A)   a) The coordinates of point A are (-3,-2). b) The coordinates of point B are (-1,3). c)…

Q: graph each equation by plotting points. Verify your results using a graphing utility.    2x+3y=6

A: The equation 2x+3y=6

Q: graph each equation by hand by plottingpoints. Use a graphing utility to approximate the intercepts…

A: 2x-7y=21

Q: Make a table of values for the equation. x + y² = 9 X Sketch a graph of the equation. у -2 -1 0 1 2

A: Substitute y=-2 in x+y2=9 and calculate the value of x.       x+y2=9x+-22=9       x+4=9…

Q: Sketch the graph of the equation, and label the x- and y-intercepts

A: The given equation is, y=x3-8 To find the x-intercept of the curve, y=0 0=x3-8x3=8x=83=2 hence, the…

Q: Sketch the graph of the equation, and label the x- and y-intercepts

A: y=x

Q: x² + y? + z² + 8a + 4y – 6z – 7 = 0

A:

Q: Graph the following equation in a rectangular coordinate system. y = 1 ... Use the graphing tool to…

A: y=1 is the horizontal line

Q: Determine x and y intercepts then use them to graph. x-2y=4

A: Given,          x - 2y = 4

Q: メht_X=(

A:

Q: Translate axes to identify the graph of equation and write equation in standard form. x2 + 2y2 − 4x…

A: Consider the given equation, x2+2y2-4x-4y+4=0 Modify the expression as follows.…

Q: Identify the y-intercept of the graph ofR(x) = [ 6(x - 1) ] / [ (x + 1) (x + 2) ] . (a) - 3 (b) - 2…

A: Rx=6x-1x+1x+2 To find y-intercept, put x=0, we get R0=60-10+10+2=-62=-3

Q: Use a graphing utility to graph the equation 7x2 + 8xy + y2 - 1 = 0.

A:

Q: Determine whether the graph of the given equation is symmetric with respect to the y-axis, the…

A: Given function is y=x2+6. To determine whether the graph of the given equation is symmetric with…

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.