8. A point P(-2,6) is rotated clockwise about the origin by 90 and its image is reflected in the x-axis. If the final point is labeled as P" then which of the following would be the length of PP"? (1) V80 (2) V128 (3) V32 (4) V136

Q: 1 Find the distance from the origin to the point P(2, 8, –4)

A: Given: P2,8,-4, Q0,0,0 We know that distanced between pointsx1,y1,z1,x2,y2,z2 is given by…

Q: 8,9 reflected over x-axis and y-axis

A: Reflection of (8,9) over X axis is (8,-9) Reflection of (8,9) over y axis is (-8,9)

Q: 12) Circle O is tangent to L: 5x - 12y + 19 = 0 and L 5x 12y 7=0. If the center of the Circle O is…

A: The given tangent lines are, L1: 5x - 12y + 19 = 0L2: 5x - 2y - 7 = 0both lines are in the form ax +…

Q: -10- If the required is a point, use (x, y) form.

A: Given that:                           NOTE: As per our answering guidelines, we can only answer 1…

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: (-6, 4) and (2, 9) %3D AX : %3D Ay Slope = %3D AX

A:

Q: Suppose that you run along three different paths from location A to location B. Along which path (s)…

A: Distance is the total distance travelled between 2 points Displacement is the shortest distance…

Q: 2. Consider any five points P1, Ps in the interior of a square S of side length 1. Show that one can…

A: To solve this problem we use the Pigeonhole principle . Pigeonhole principle : If there are m holes…

Q: Find the length of arc of the curve 9y^2=4x^3 from the origin to the point (3,2 squareroot of 3)

A: The arc length of a curve y=f(x) from x=a to x=b is defined by the integral L=∫ab1+dydx2dx.

Q: 15. Reflect the point (2, -4) over the y- axis. a) (-4, 2) O b) (-2, 4) O c) (-2, -4) O d) (2, 4)

A:

Q: Which point is one fourth of the way between point A and point B on the line segment AB shown on the…

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: 2. Consider any five points P1, Ps in the interior of a square S of side length ... 1. Show that one…

A: Since you have asked multiple questions here, we will solve the first question for you. To get the…

Q: Find the points on the cone 2² = x² + y² that are closest to the point (3,-3,0)

A: Cone Equation: z2=x2+y2 Given point: 3,-3,0 To find: the points on the cone nearest to the given…

Q: Find the point Q that is on the curve nearest %3D the point (4, 1)

A:

Q: 23. CAS Find a good numerical approximation to the coordinates of the point on the graph of y = In…

A:

Q: #3 Find the line equation(s) of the line(s) through point P(1, 0, 1) that meets the following line…

A: Given :  Given:P(1,0,1)L: x,y,x=1,2,0+t2,-1,2P0=1,2,0Aim: To find a line(s) through point P,…

Q: 4) The lemniscate curve (x2 + y² )² = 4(x² – y²) was discovered by Jacob Bernoulli in 1694, who…

A:

Q: The coordinates of a point in the xy-coordinate system are given. Assuming that the XY-axes are…

A:

Q: 13. If AXYZ is rotated 180° clockwise about the point (2, -3), what is the coordinate of X? 4y Rule:…

A: Given:  Triangle XYZ is rotated 180 degree abot (2,-3). First change origin to O'(2,-3). Then change…

Q: Consider point P(4, 2) and line l with equation −3x+4y=6 .

A: Substitute x=4 and y=2 into the given equation. -12+8=-4

Q: where should the point P be chosen on the line segment AB so as to maximize the angle theta

A:

Q: 6 of 19 Write the equation of a circle with centre (-8,-3) which is tangent to the x-axis. O (x –…

A: A detailed solution is given below

Q: 6. The segment XY with endpoints X(4, 3) and Y(1, -3) is rotated 90° about the origin. What is the…

A:

Q: 4. The "bi-secant method" is a combination of the secant method and the bisection method. As in the…

A: Let the curve be y=f(x) , Given, initial and final points of curve is a, f(a) and b,f(b)…

Q: 1)calculate xy dady Where D is a triangle with vertices (0,0), (5,0) and (5,5) tip:Don't use the…

A:

Q: 10) If a point M., located at (3, -2), is rotated clockwise 90 about the origin, what are the…

A: When the point is rotated through 90° clockwise about the origin, the point M (h, k) takes the image…

Q: 4. The tangent of the acute angle between the linesy = 4x – 3 and y = x - 5 is Tano 144() 13 3

A: Please rate

Q: 12 1 If the curve shown in the figure is rotated about the y-axis, this creates the shape of a

A:

Q: Suppose ABC- > LMN is a reflection across the line x = 0. If A(4, 4) what is the y coordinate of L?

A: Suppose ABC- > LMN is a reflection across the line x = 0. If A(4, 4) what is the y coordinate of…

Q: et y = [ 2   3   -1] and u = [ 2   -6   -6] compute the distance d from y to the line through u and…

A: first we shall find equation of line then find distance from line of that point

Q: 1. Find the exact value of the distance between the points (3, 1, 12) and (-5, -2 , 10).

A:

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

A:

Q: Find the distance d from the origin out to the point (8, −6)

A: Given, Point say A(8,-6) and Origin O(0,0)

Q: 7.) Find the shortest distance between (4,2) and the curve y? = 8x.

A:

Q: A particle start from the point (4,4) and it's coordinates change by the increment AY=5 and AX= -8…

A:

Q: In Pi Jinxing's dream, two curves are said to be CoRoNaViRaL if whenever they intersect, the two…

A:

Q: 16. If the point (3, 7) is rotated counterclockwise by 45°, what point is obtained? What point is…

A:

Q: 2) 2 4-2

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: 5. What are the (x, y) coordinates of the point where the terminal side of 0 circle? (ə) (-;-)

A: For unit circle, r = 1 x = r*cos(Q) y = r*sin(Q) Q = 4π/3

Q: | 6. Let y = 3 and u = . Compute the distance from y to the line through u 1 2 and the origin.

A: Given: y=-231  and u=1-12 To compute: the distance from y to the line through u and the origin.…

Q: You are to draw two circles, centered at points C and D. Circle C is the smallest circle that is…

A:

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

A: 3, 2. Reflection over x-axis: When a point x, y is reflected over x-axis, then the new coordinates…

Q: 3. The equation showing a family of lines passing through the point (1, -1) is given by * у%3D тх —…

A: Given a point(1,-1). We need to find the equation of  a line passing through the given point.

Q: 8. y- -x+4 , x=0, y=o, about the (x 20) y axis

A: y=-x2+4 and x≥0 ,x=0,y=0 about y axis

Q: 1 ,3/2 y92 - y"2 between the points 3 ,1 and (6,9). 3 Find the length of the curve x=-y" 1/2

A: Given : The curve is : x=13y32-y12  We have to find the length of the given curve between the points…

Q: Find the length of the curve defined by y = 3 In 3 from x = 8 to x = 9.

A: Use derivative of function and length of curve formula .

Q: Three runners start at the same location and, at the same time, start running in different…

A:

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.