8. What are the coordinates of point H? F (5,0,0) -JJ (5,-3,0) H. k (5,-3,2)

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: The plane passes through the point (18, -16, 9) and contains the line given by = = z . 1.

A:

Q: Determine the point(s) on y=x2-1 that are closest the point (7,7)

A: Let (x, y) be the point on the given graph which is closest to (7, 7). Therefore the distance…

Q: 37. What is the distance between the points P(3, 5, -2) and Q(2, 3. 0) in space? 2 3

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: What are the coordinates of (-4, 1) after a reflection over the y-axis? 10- 8- 6+ 4+ (-6, 1) (-4, 1)…

A: Given, The coordinates of point -4, 1  We have to find the coordinates of point -4, 1 after a…

Q: The distance between the points (-3,-5) and (2, 7) on the coordinate plane is given as y+. What is…

A: Distance Between Two Points We use the Pythagoras Theorem to derive a formula for finding the…

Q: 15. Determine the coordinate of point C, which lies on the y-axis, if it is equidistant from point A…

A:

Q: What are the new coordinates of point M (-8, 3) after a reflection in the line y =x? O (3,-8) O(8,…

A:

Q: What is the distance between points A=(2,5)A=(2,5) and C=(−3,2.5)C=(-3,2.5)?

A: Given:A= (2,5) and C= (-3,2.5)

Q: 2. Find the exact value of the distance between the line of intersection of the planes 2x - y + 2z =…

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

Q: Sketch the translation of the triangle with the rule (x, y) → (x+5, y+1). T 5 -10 -5 5 10 --5

A:

Q: 11) Find the distance between point A(-3, 1,1) and the line of symmetric equations x = -y = -z.

A: This question is related to coordinate geometry, We will solve it using given information.

Q: 16- Find the equation of the plane that contains the line = 2+ = 5-z, and the point P(0,5,2).

A:

Q: Suppose the midpoint of RT is M = (3,0). If point R has the coordinates of (-1, 4), what are the…

A: Given midpoint RT is M =(3,0)

Q: 5. Find the exact value of distance from the point (1, -3, -1) to the plane 2x-y+3z = -5

A:

Q: Point (x ,y) distance from Q А (5,5) (2,3) (1,1) V20 В 1 C 6. A 5

A: Given: A(5,5) B(2,3) C(1,1) AQ=20 BQ=1 CQ=2

Q: 9. Find a point on the y-axis which is equidistant from the point A (6,5) and B (-4,3).

A:

Q: The distance between the point (9, 8, 3) and the plane x + y−2z = 5 is _____.

A:

Q: 12) The distance from the point S(-10, –4, –6) to the plane -9x + 2y + 6z = 4

A:

Q: Where does the line through (1,0,1) and (4,-2,2) intersect the plane x+y+z=6?

A:

Q: Find equations of the line through the point (1, −1, 1) perpendicular to the line 3x = 2y = z and…

A:

Q: 15. 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: We know that the reflection of a point about the y-axis makes the x-coordinate negative. So, the…

Q: Sketch the translation of the triangle with the rule (x, y) → (x+5, y+1). T 5- -10 -5 10 -5- 5

A: The coordinates of vertices of the blue triangle (1st quadrant) are A1, 1, B3, 1 and C3, 5. Now, Use…

Q: Find the equation of the plane con taining the points Р(4, -1, 3) Q(1, -2, -1) and R(1, 0, 8)

A:

Q: The distance between the points (3, 6) and (x, 5) is 7. What is/are the coordinate(s) ofx?

A: Since you have asked multiple question,as per our guidelines we are supposed to answer only one…

Q: B) Find Duf of f(x,y.z) x + y? + 2? - 3 at point(1,1,1)in the direction of point (3,5,-3).

A: Take gradient at given point and take dot product with unit vector for directional derivative

Q: 1. y = x², x = 0 , x = 2, y = 0, about the x – axis - 2. V9 - y?, у %3 1, у %3 3, а %3D 0, about the…

A: Use formula to calculate volume

Q: 10. The distance between the point (3,-2,5) and the plane 2x+2y+z=5 is NONE

A: Given: The distance between (3,-2,5) and the plane 2x+2y+z=5

Q: 5. How do we obtaln a reflection over the x-axis?

A:

Q: Find the value(s) of x such that the distance between the points is 5. (2, -1), (x, 2)

A: Distance between the points 2,1, x,2 is 5. use distance formula:    Distance between the points…

Q: 3. Through the point (4, -5, 20) and perpendicular to the plane x + 3y – 6z - 8 = 0.

A:

Q: 10 5- |-10 -5 -5- Find the distance between points B and T. Type in your answer below. -LO

A: Use the distance formula of distance between the line joining two points P(x1,y1) and Q(x2,y2),…

Q: Calculate the distance between the points K=(-3, -2) and c=(1, 1) in the coordinate plane. Give an…

A:

Q: 10. Show that these two lines are coincident. [x, y, z]= [1, 5, -2]+s[1, 7, -3] [x, y, z]=[-3, -23,…

A:

Q: 9. Reflect the point (3, 2) over the following axes or lines. Reflection Over New Coordinates x -…

A: Definition used -                    Reflection of a point over the x-axis -…

Q: Calculate the distance between the points P = (-7, 6) and N=(-2, 2) in the coordinate plane. Give an…

A:

Q: B': 3. Trapezoid FGHI with verlices F(-5,-2), G(-2,-2), H(0, -6), and (-8,-6): y-axis F': H: G: I':

A:

Q: 9. The line through (0,-7, 0) perpendicular to the plane x + 2y + 2z = 13

A: Given point is (0,-7,0) and plane equation is x+2y+2z=13 here we have to find the parametric…

Q: Calculate the distance between the points K=(-9,7) and M=(-4, 2) in the coordinate plane. Give an…

A:

Q: The plane through the points (2, 1, - 1), (0, -2, 0), and (1, -1, 2) is parallel to the line x=1-t,…

A:

Q: 12. Find the distance between the point (3,-2,7) and the plane 4x – 6 y + z = 5.

A: The equation of plane is 4x-6y+z=5 and the given point is 3,-2,7. The distance between the point and…

Q: 6. The midpoint between the points A(-2,-3,1) and B(6,9, –3) is (b) (2,3, –1). (c) (-4, –6,2). (a)…

A: Midpoint of line joining (x1,y1,z1) and (x2,y2,z2) is  (x1+x22,y1+y22,z1+z22)

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

A:

Q: Calculate the distance between the points F= (1, -3) and H=(7, -9) in the coordinate plane. Give an…

A:

Q: A line passes through points (5, 8) and (10, a), where a is a parameter. The equation of this line…

A: A line passes through points (5, 8) and (10, a), where a is a parameter. The equation of this line…

Q: 11. C(2, 5), transverse axis horizontal of length 10, conjugate axis of length 4

A: To find the equation of hyperbola given the following conditions: C(2,5) Length of transverse…

Q: 13. Determine the distance between the following lines. [x, y, z]= [4,5,9]+s[-3,4,-9] and [x, y, z]=…

A: Above question is solved.

Q: Find the value(s) of y such that the distance between the points is 6. (-6, 0), (-9, y)

A: Solve for the value of y