### Find distance from point to plane

See attached page for the rest of the question Let P be a point not on the plane that passes through the points Q, R, and S. Show that the distance d from P to the plane is....

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See attached page for the rest of the question Let P be a point not on the plane that passes through the points Q, R, and S. Show that the distance d from P to the plane is....

Draw a rectangular box that has P and Q as opposite vertices and has its faces parallel to the coordinate planes. Then find the coordinates of the other six vertices of the box and the length of the diagonal of the box P(1,1,2) Q(3,4,5)

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Please explain thoroughly the solution for the problems. 1 .What is the complement of the supplement of an angle measuring 130 degrees?

How to find the supplementary angles of this. 1. 71.57° 2. 2π / 3

1. Find the slope of the line containing the points (-3, 4) and (5, 4). State whether the line is vertical, horizontal, or neither. 2. Find the slope of the line containing the points (-2, -5) and (-2, 6). State whether the line is vertical, horizontal, or neither 3. Write an equation in slope-intercept form, , of the line

To construct a regular 5-gon , first draw a circle with the center O. Then proceed to find on the circle the vertices V1, V2, V3 and V5 of the Regular pentagon as follows: ___

Calculate area using polar equations. See attachment.

I am to draw any thee non collinear points. I am to construct a circle containing them on its circumference. Can you construct a different one? How many different circles are thee through the three points? Can you construct a circle through three collinear points.

5)convert 5 =5cos(theta) to a rectangular equation. Use the rectangular equation to find the center and radius. Please explain the steps in this.

Let R1 and R2 be two rays with a common vertex with an angle strictly less than pie(3.14). Construct the angle bisector ray B. In the setting of the previous problem, if you were given R1 and B, how would you construct R2?

Suppose L is a given line and A a given point. Construct the reflection of A about the line L.

Suppose the three vertices A, B and C of a parallelogram ABCD are given. Construct the fourth vertex D.

Given two distinct points A and B in the plane, construct the midpoint of the line segment AB.

*For 1, find the standard form of the equation of the specified circle. 1. Endpoint of a diameter, (-4,-1), (4, 1) *For 2~4, write the given equation of the circle in standard form and sketch its graph. 2. X^2 + Y^2 -2X + 6Y - 15 = 0 3. 3X^2 + 3Y^2 - 6Y -1 = 0 4. 4X^2 + 4Y^2 -4X + 2Y -1

1. Find the equation of the circle that has its center at the focus of the parabola X^2 - 4x + 6y - 20 = 0 and that is tangent to the parabola at its vertex. Also sketch both curves.

For this question what needs to be calculated first? A company based in TX markets a range of deluxe fountain pens each initially priced at $25. However, the company is planning a promotion and the price will be reduced to $17. To promote the special price, an advertising campaign costing $ 774 is scheduled . The company's fi

Find the volume of a piece of wood - See the attached question file.

Find an equation of the tangent plane to the given parametric surface at the specified point. 1.) r(u,v)= (u+v)i + ucos(v)j + vsin(u)k; (1,0,0)

Find perimeter of a square if area is equal to 2x2 + 9x -5.

See attached file - thanks.

Find the dihedral angle of the pyramid shown in the attached figure.

See attached file. Let W be the subspace of V4(R) spanned by the following set of vectors...

A careful player can always guarantee at least a draw at regular tic tac toe. (a) Is this also true with cylindrical tic-tac-toe? Explain. (b) In cylindrical tic-tac-toe, can two players co-operate to play a draw? Explain. I know this must be simple but I can find nothing on it anywhere.

Functions and Coordinate Geometry - (1) Find an equation of the line having the given slope and containing the given point m= , (6,-8) (2) Write an equation of the line containing the given point and parallel to the given line. Express your answer in the form y=mx+b (7,8); x+7y=5 ... ... (6) The table lists data regard

Please help with the attached problem. Shown at the right is a cone with a slant height of 10 cm. Let's explore the relationship between the volume and the angle at the top of the cone....

The material is from ABSTRACT VECTOR SPACE. Please kindly show each step of your solution.

Need assistance in solving the attached problems. My answers are falling short of the choices given in the problem. Please explain the steps to get answers. Thank you. 1. Find the equilibrium price. Suppose the price p of bolts is related to the quantity q that is demanded by: P=520-5q^2 where q is measured in hundred

Please see the attached file for the fully formatted problems. Let A and B be separated subsets of some Rk, suppose and , and define for . Put , . [Thus if and only if .] (a) Prove that Ao and Bo are separated subsets of R1 . (b) Prove that there exists such that . (c) Prove that

Please solve no. 12 and no. 30 in file scan005.jpg. For problem 30; when claiming that a vector is in a space, demonstrate correctness by giving the coefficients.