Determine the equation of the midline of the following graph 3 2 1 J.V: -67 :51 -47A -37 -27 47 57 бл 10A 117 127 -1 -2 -3 4.

Q: 11. Determine whether the lines are parallel, perpendicular, or neither. Show your work. 4 Line 1:…

A: Since the product of slopes is -1 hence these lines are perpendicular.

Q: Determine the equation of the midline of the following graph. 5 3 2 -61 -37 6A 121 -1 -2 -3 -4 -5 4.…

A: see below the answer and explanation

Q: What are the directing cosines of the line whose symmetric is (x + 2)/ - 1= (y-3)/ 2 = (z + 4)/ 6

A:

Q: 1. Reflect the point (2, -4) over the y- axis. O a) (-4, 2) O b) (-2, 4) O c) (-2, -4) O d) (2, 4)

A:

Q: Use slopes to show that the square with vertices at (-2, 5)9, (4, 5), (4, -1), and (-2, -1) has…

A: To show: The diagonals of the square are perpendicular to each other. Given: The vertices of square…

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: Show that the lines 2 x+3 y-1 and 6 x-12 y-1-0 are not perpendicular

A: As we know that, if the product of slope of two lines are (-1)  then both the both lines are…

Q: The end points of line segment 4, which lies in the xy-plane, are (-2, 5) and (6,-3). Which of the…

A: i have used the formula of midpoint of the two points and the slope point form of the straight line…

Q: Rotate the point -190° to within 10°. y (о, 1) (-1, 0) (1, 0) (о, -1)

A:

Q: Rotate the point -320° to within 10°. (о, 1) x (1, 0) (-1, 0) (о, -1)

A:

Q: Graph the image of parallelogram TUVW after a reflection across the line y = -2. 10 8. 4 2 -10 -8 -4…

A: We have to graph the image of parallelogram TUVW after a reflection across the line y=-2.

Q: Create a table that includes the equation of the line in y = mx + b form, the equation of the line…

A:

Q: Prove that the point (1,11),(2,15), and (-3,-5) are collinear and find the equation of the straight…

A: Let the given points be A (1,11), B (2,15), and C (-3,-5). Evaluate the slope of the line AB as…

Q: 13. Graph the line -금지- 1 y 9. -6-5-4-3-2- 2345 6 6654 321 12

A: The given equation is . The equation represents a straight line since it is of the standard…

Q: Use slopes to show that the square with vertices at (-2, 5), (4, 5), (4, -1), and (-2, -1) has…

A: Given that the four vertices of the square are: A4, 5 ,B-2, 5 ,C-2, -1 and D4, -1   If a line passes…

Q: Which of the following is the graph of * 4x2 + 13y2 52 %3D 12 V 10 4W2 W2 VF -1412-10 -8-6 -4 -2 olc…

A:

Q: 6. 5- 4 3 13 T, 3 13 3 | 2 3. 2 1. -TT Зп 4TT 5T -1 -2

A:

Q: 1. find the equation of a line passing through (3, 4) and Enter your answer in the slop - Intercept…

A: As per guidelines we can answer only answer at a time so the if you need more answers kindly repost…

Q: Determine the value(s) of k such that the lines 2y= -kx +6 and 3y-x= 2kx+3 have the same…

A: The given line equations are 2y=-kx+6 and 3y-x=2kx+3. Rewrite the equations as shown below.…

Q: Find the image of un der w- 2く

A:

Q: plot the given pair on a cartesian plane {(1,1),(2,4),(3,7),(4,10),(5,13)}

A: The given pair of points are  A(1,1), B(2,4), C(3,7), D(4,10), E(5,13)

Q: Find the midpoint of points A(-9, 7) and B(1, 10) graphically. Plot the line segment AB by clicking…

A:

Q: Graph the image of rhombus EFGH after a reflection across the line x = 2. G. 10 8 9. H. 4 10 -4 -2…

A: When a point is reflected across the x = a line, the y-coordinates remain the same. But the…

Q: 29. (-2, 2) reflected through the y-axis is a. (-2, 2) b. (2, 2) с. (-2, -2) d. (2, -2)

A: Rule:-  A point ( x,y ) After reflection through y axis becomes ( -x , y)

Q: The equation of the line that goes through the point (1,1) and is perpendicular to the line 4x+4y=4…

A: Given,           The equation of the line that goes through the point (1,1) and is perpendicular to…

Q: Determine the equation of the circde graphed below. 12 11 10 8 6. (-1, 4). (-4, 2) 0 -12-11-10-9-8…

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Q: Write down equation of the line in space passing through the points Po(1,0,0) and P (0, 1, 1).

A:

Q: Suppose W(8, -2) was transformed across the line y = -x. What is the y coordinate for the image of…

A: I have stated the used formula in the solution

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: 1. Show that the lines 2x + 3y = 1 and 6x - 4y - 1 0 are perpendicular.

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

Q: Which of the points below correctly plots the point (2, 6.

A:

Q: Graph the image of rectangle TUVW after a reflection across the line y = -1. 10 8. 6. -10 -8 -4 -2…

A:

Q: Graph triangle LMN with L(2, 7), M(8, 8), N(2, 1), and its image after Ry-axis ° T(-4,-5).

A: Given  L(2,7)M(8,8)N(2,1) Translation Ry axis∘T(-4,-5)   for rotation around y axis (x,y)→(-y,x)

Q: Find an equation of a line containing the point (1, 7, -3) and parallel to the yz- plane.

A:

Q: What is the X -intercept of the lihe that passes through points 4,-5) &(7,-8) %3D

A: First we will find the slope.

Q: Which of the points below correctly plots the point (3, 4)?

A:

Q: Find an equation of the plane that passes through the point (12, -10, 6) and contains the line given…

A:

Q: Graph the image of parallelogram STUV after a reflection across the line y = x. 10 8 21 -10 -8 -1 -4…

A: Graph of the parallelogram is given, it is reflect about the line y=x

Q: Solve the quadratic function

A: We can use concept of quadratic equation.!

Q: Let M(-8, 10) be the midpoint of a line segment joining two points P and Q. If the coordinates of P…

A:

Q: 10 14 10 -8 -6 -4 -2 -2 8 Il -4 -6- -8- -10- Given the graph, find the equation of the line. Be sure…

A:

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: show that the lines メ-2 = 3-2 モ-3 and %3D 9-3 X-2 = intersect. %3D 2 th

A: Here we will show that given lines are intersecting,

Q: Make each graph with its correct equation. 3. -78 -5 -4 -3-2 -1 4. 123456 tut 3-2-1 12345 -2 5. 6.…

A:

Q: A rectangle has a vertex at J(2, 2), H(4, −2), and G(−2, −5). What are the coordinates of the fourth…

A: You know that the diagonals of a rectangle bisect each other.

Q: Graph the image of kite QRST after a reflection across the line x = 1. 10 8. 4 2 -10 -8 -6 S 4 -2. 2…

A: We have to find figure after reflection.

Q: Use the intercept method to graph the equation. 6x – 4y = 13 y (0.2) (4. 0 (- 6. 0) 3-2-11234S 6 7X…

A: 6x -  4y = 13 Using the intercept method First we put x = 0 So, - 4y = 13   y = -13/4 Now, we put y…

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.