Derive the distance formula in R^3 from the Pythagorean Theorem.

Q: Define the Pythagorean theorem?

A: To define Pythagorean theorem

Q: 17. What is the distance between the origin and the point (4,3, 3)

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

Q: Which is an undefined term in geometry

A: Undefined term in Geometry

Q: a circle can also be represented in its general form which is written as for a circle to exist,…

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Q: Give one example of an application of Pythagorean theorem

A: The Pythagorean Theorem is useful for two-dimensional navigation. By using Pythagorean theorem we…

Q: Provide an example of a new theorem related to triangles and describe the steps as to how this…

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Q: Describe the Pythagorean theorem?

A: Pythagorean theorem states that: The sum of the squares of the opposite and adjacent of a right…

Q: Find the distance between (2, 3) and (14, 8) pair of points. If necessary, express answers in…

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Q: Use trigonometric substitution to do the integral 4x3 dr. VI² + 4

A: Topic = integration

Q: What is the point (0, 0) called?

A: To find,   The point (0,0) called

Q: Find the distance s covered by

A: We know the relationship between velocity- distance- time ,  Velocity=distance/time…

Q: Suppose the tip of the minute hand of the clock is 6 inches from the center of the clock. What is…

A: Given that, the length of the minute hand of the clock is 6 inches.We have to obtain the distance…

Q: Plot the point(s) where tan = Clear All Draw: √3 3

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Q: Use trigonometric substitution to find -dx 1+16x²

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Q: There are some instances when an abbreviated form of the distance formula can be used. What is the…

A: Please see the below picture for detailed solution.

Q: Use De Moivre's theorem to evaluate Express the answer in rectangular form.

A: The formula De Moivre's theorem is given by cos θ+i sin θn=cos nθ+i sin nθ, where n is an integer.…

Q: 2. Is trigonometric substitution needed to evaluate /9 - x² dx?

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Q: Find the distance between the pair of points (5,3) and (8,6). If necessary, express the answer and…

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Q: find the distance in space between the points (5,3,-2) and (0,0,1)

A: Use distance formula between two points

Q: Explain Euclidean distance?

A: Euclidean distance is the distance between two points in Euclidean space. This distance between two…

Q: Arcsin z dz

A: Topic = Integration  As per guidelines, At a time only one question can be answered out of different…

Q: which triangle has a tangent of 1? please provide a picture to show your work

A: We can use following table to know relation between different angles and their tangent. different…

Q: Determine whether the statement arcsin2x + arccos2x = 1 is true or false. If it is false, explain…

A: Let us take x=1/2

Q: It’s Pythagorean Theorem

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Q: What is the pythagorean theorem?

A: It is the mathematical formula which establishes the relationship between the sides in a right angle…

Q: Find cot θ⁡ whose terminal side passes through the point (4,0).

A: Given terminal side passes through the point (4,0)

Q: Prove that cosine has the Direct Substitution Property.

A: We will follows the strategy of the previous exercise. its given to us that…

Q: Three of the interior angles of a regular pentagon are each x. The others are each 3x. Findx.

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Q: The angle between 0° and 360° that is coterminal with - 1475° is

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Q: What is the distance between the points (5,13) and (−8,−9) on a coordinate plane rounded to the…

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Q: The distance from the origin to the point ​(−24​,32​) is ?

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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: Find all angles that are coterminal with 150 degree

A: Coterminal angle is angle with same initial and terminal side. Coterminal angle can be obtained by…

Q: What are all of the theorems used in a ferris wheel?

A: A Ferris wheel is a type of amusement attraction that consists of a revolving upright wheel with…

Q: Find the exact value of the expression. Show work.

A: There are multiple ways to evaluate tan 165° I have presented below one of them. Recall the famous…

Q: Calculate the missing value. Use the Pythagorean Theorem!

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Q: What is the distance from point T(12, -5) to S(-8, 14)?

A: We have to find the distance from point T(12, -5) to S(-8, 14).

Q: & क

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Q: 2) Point B is the midpoint of AC. If AB=3x, BC=2x+2, what is the length of AC?

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Q: What is the distance, d, between the points (2, ) and (,1)? Enter your answer in the box. Enter your…

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Q: Compute the angle between the diagonals on two adjacent faces of a cube.

A: Consider the cube below where origin is one of its vertex, Let O be the origin and OD and OB be the…

Q: What where the contributions that Euclid made to Geometry?

A: topic - Euclid's  geometry

Q: What Quadrant 1s 2722 lying in.

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: Use the angles in part (b) to expand and simplify sqrt53cos(x-A)

A: This question can be solved using the concept of value of trigonometric function for sum and…

Q: What are the new coordinates of the point (13, 28) under the dilation (x, y) - (7x, 7y)? O (101,…

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Q: What is sec⁡ θ in the right triangle shown?

A: 1) secθ = 1/cosθ 2) cosθ = b/h  where b is base(24) and h is Hypotenuse(25) of right angle traingle…

Q: The length of a diagonal of a square whose side is 4 in. long. Leave answer in simplified radial…

A: SQUARE: A Square is a Quadrilateral that has Four Equal Sides Each angle at the corner are of 90°…

Q: What are the exact values for the 6 trigonomic functions of a 300o angle?

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Q: Calculate (image) using the Gaussian quadrature formula.

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.