What is the point of intersection of the two functions? 12) y--3x-23 -2r+4y-6 A) (-2, 3) C) (-3, 2) E) (-7,-2) B) (3, -2) D) (3, 2)

Q: 3,0 on a coordinate plane

A: we have to plot (3,0) on a coordinate plane using graph we can plot (3,0) on coordinate plane as…

Q: True or False The point (1, 2) is on the line 2x + y = 4.

A: Consider the given equation and point. 2x + y = 4 and (1,2) If the given point lie on the equation…

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: 22) About the x-axis y = 5 x =V25 - y2 X =' + 3 4 5 х 2. 3. 2.

A:

Q: What is the x-coordinate of the x-intercept of the line 2 = 1 when it is graphed in 3 5 with…

A:

Q: It passes through the point (5,7) and parallel to the line 3x+y-10= 0   its has a x intercept 4…

A: Given,          It passes through the point 5,7 and parallel to the line 3x+y-10=0.          Its has…

Q: Find fx (x,y) and  fy (x,y).  Then find fx (2, -1) and fy(-4,3) ƒ(x, y) = -3x4y3 + 10

A: The given function is fx, y=-3x4y3+10. This implies that, fxx, y=-12x3 y3fyx, y=-9x4 y2

Q: In the coordinate plane, right triangle AXYZ is reflected over the line y = x. 5 3 X 2- -6 -5 -4 -3…

A:

Q: Find the point on the line 6x + y = 6 that is closest to the point (-4, 1). (x, y) = %3D

A: We have to find a point on the line 6x + y = 6 that is closest to the point (-4,1). Concept Used -…

Q: 10 2 -10 -8 -6 -4 -2 6 8 10 2 4 -2 -4 -8 10 Slope: y-intercept: Equation:

A:

Q: 4. The line passes through the point (-6, 0, 8) and is parallel to the line x 5-2t, y=-4+2t, z 0.

A:

Q: 5- Find the intersection point of the line 3x-2y = 0 and the line passing through (-1, 0) and…

A: Given the equation of the line 3x-2y=0. We need to find the intersection points of the line 3x-2y=0…

Q: Find the coordinates of the point 7. of the way from A to B. 10 本y 10 8- B(t0,7) 6- 2- -> -6-4-2 -2…

A: Given P is a point 710 of the way from A to B .This implies that point P divides the line AB in…

Q: The equation for line A is y =z + 4. Suppose line A is parallel to line B and point (-3, 1) lies on…

A:

Q: Find fx (x,y) and  fy (x,y).  Then find fx (2, -1) and fy(-4,3) ƒ(x, y) = 9x2y2 - 4y2

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: 2x-5y ≥10 y-axis 4 3 2 1 -54-3-2-1 1 2 3 4 5 6 6 5 N -3 -4 -5 -6 x-axis

A:

Q: What are the new coordinates of the point (-14, -24) under the dilation (x, y) → (0.5x, 0.5y)? O…

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Q: = (T-) (प॰,,५) %3D -1 = )7-6 (4-7) 11 Find the fcilowing: 3D3x+8 9={-7,-6),(0, -7),(2,8), (5, 6)3

A: Given : g = {(-7,-6),(0,-7),(2,8),(5,6)} h(x) = 3x + 8   g-1(-7) = ? g(0) = -7 g-1(-7) = 0   h-1(x)…

Q: What is the equation of the line that is parallel to y=-3z+12, passing through (4, 2), written in…

A:

Q: Find fx (x,y) and  fy (x,y).  Then find fx (2, -1) and fy(-4,3) ƒ(x, y) = 5x2y3

A: fx, y=5x2y3

Q: XIV. Give equation of straight line through point (1,3,-2) perpendicular to z = Зх-2y +4.

A: Given z=3x−2y+4 and point is x0,y0,z0=1,3,−2 We have to find the equation of straight line through…

Q: Plot the points (2,0),(2,-3),(2,4),(2,1) and (2,-1) .Describe the set of all points of the form…

A:

Q: 9. Find the equation of the locus of a point, the difference of whose distance from (-5, 0) and(3,…

A: Suppose the point (x,y). The distance between (x,y) and (-5,0) is: (x+5)2+y2 And, the distance…

Q: The distance from the point (-1, -2, 3) to the line x = 1 + 2t, y = 2 - t, z = 3 - 2tis [a] (input…

A:

Q: The contrasts (-3, 1 1 1) and (0, 0 , -1, 1) are orthogonal? Is it True or False?

A: Orthogonal contrasts: A set of contrasts in which, for any distinct pair, the sum of the…

Q: 3. What is the equation of the line that passes through point (-3,-1) and is perpendicular to the…

A: Given that: The given equation of the line is y=-13x+5 and the given point is -3, -1 So, we have to…

Q: The plane that passes through the point (5,2,2) and is perpendicular to both x-5z=-24x-5z=-24 and…

A: The direction ratio of the normal vector to the plane x-5z=-24 or x+0y-5z=-24 is (1,0,-5) The…

Q: 13.) x-intercepts: (-1,0) (5,0) Point (-2,-9)

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: The two points on the lines 2x +3y +4 = 0, which are at a distance of 2 from the line 3x + 4 y –- 6…

A:

Q: a.) (-3,4); parallel to y=3x-5 b.) (-2,-4); perpendicular to y 2/3x-5

A: (a).   The given equation of line: y=3x-5 Slope of line parallel to the given line is: m=3

Q: TRUE OR FALSE I: 2x+3y – 4z= 2 and x+ 2y+ 2z = 3 perpendicular to each other

A: We'll answer the first question since the exact one wasn't specified.  Please submit a new question…

Q: 11. Find the equation of a line that is perpendicular to the line y=--x+5,passing through the point…

A:

Q: What is the image of (-2, –3) after a reflection over the line y = x?

A: Given : To determine the image of the point -2,-3 about y=x

Q: Find the coordinates of the image of the point (-2, 2) when it is reflected across the line y-7 O(2…

A:

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: In the xy-plane, line k intersects the y-axis at the point (0, –6) and passes through the point (2,…

A: Given:- In the xy-plane, line k intersects the y-axis at the point (0, -6) and passes through the…

Q: What are the new coordinates of the point (-14, -24) under the dilation (x, y) (0.5x, 0.5y)? O (-7,…

A: Given coordinate of point ( -14 , -24 ). dilation is , ( x , y )→ ( 0.5x , 0.5y )

Q: It passes through the point (5,7) and parallel to the line 3x+y-10= 0   its has a x intercept 4…

A: Consider the equation of line is y=mx+c. The line passes through the point (5,7) and parallel to the…

Q: What are the points of intersection of y = 10x? – 10 and y = 5x (-0.78, -3.9) and (6.4, 1.3)…

A:

Q: Find the distance between the point (-3,1) and the line 4x + 3y + 4 =0.

A:

Q: (-2,4) parallel to y=-3/2x+3

A:

Q: What is the distance from the point S(-2, 3, -2) to the line of intersection of the planes 2x + 3y +…

A:

Q: The two points on the lines 2x + 3y +4 = 0, which are at a distance of 2 from the line 3x +4 y – 6 =…

A:

Q: Find the equation of the Line passing through the point (2,-4,1) and parallel to the plane 3x+y-2z=5…

A: Given plane , 3x+y-2z=5 -i whose directionof the normal to the plane is3,1,-2and given equation of…

Q: maximise I1 + 2r2 I3 subject to z + 4r2 + 13 0, I2 unrestricted

A: The given problem is maximize x1+2x2-x3 subject to x1+4x2+x3≤1,-2x1+x3≤x2,4x1+2x3≥-7,x1≤0,x3≥0,…

Q: What is the equation of the line that passes through (1, 3) and (-2, -3)? Oy= *-1 - x- 2 Oy= -2 x+1…

A:

Q: 1- -3 -1 2. 4 -1- X-аxis -2 -3- O 2 O 0.5 O -2 -0.5 y-axis 20

A: slope = (y2 - y1)/(x2 -x1)

Q: 6. Find the distance between the point (-3, 1) and the line 4x + 3y + 4 = 0.

A:

Q: Z=Xi tXz – 2X3 Min Sito X, 4 YXq - Xg =do 2X, +3X2+X > 20 760 Xガフ0jーム2,3 Using M-tech i Lue

A: Min Z=x1+x2-2x3 subject to x1+4x2-x3=10                 2x1+3x2+x3≥20                 3x1+x2+4x3≥60…

Q: Line perpendicular to x -2y=3 and containing (-3,1)

A: The given line

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.