Find the area of the triangle with the given vertices. Use the fact that the area of the triangle having u and v as adjacent sides is given by A = . x v|. (0, 0, 0), (1, 2, 0), (3, 4, –4) A =

Q: Let P=(−28.4,28), Q=(−24,x+4.29) and R=(−29.4−x,32) points in space. Check the alternative that…

A: The solution of above question is written in step2.

Q: Find the area of the triangle with vertices P(1,3,–2), Q(0, 0,0) and |R(3, 5, 1). NOTE: Enter the…

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Q: Consider the points P(1, –2, –1). Q(0, –3, 0), R(1, –1,0) and let A be the area of triangle PQR.…

A: P1,-2,-1, Q0,-3,0, R1,-1,0 Here use formula  A=12x1y1z1x2y2z2x3y3z3 Use this formula here and then…

Q: The pentagons JKLMN and PQRST are similar. Find the length x of QR. 6. 3.2 M K 4.8 3. 3.2 4.8 T. 3.…

A: Here, the pentagons are similar. Therefore, the ratios of the corresponding sides are same.

Q: (b) Use the formula in part (a) to find the distance from the point P(1, 1, 1) to the line through…

A: Given :- Find the distance from the point P1,1,1 to the line through Q0,8,7 and R-1,2,6.

Q: What is the coordinate for a point M such that ST is partitioned in a 1:2 ratio? ++++ -5-4-3-2-1 0 1…

A: The explanation of answer as follows

Q: Use calculus to find the area A of the triangle with the given vertices. (0, 0), (3, 2), (1,6) A =

A: Given, The vertices of the triangle are (0, 0), (3, 2), (1,6)Equation of the line joining (0,0) and…

Q: an pagetoraVirtual E Find the value of h for each parallelogram. 3. 13 2. 0.5 h 12 0.3 !8 0.4 18 10

A: We will use the property of similiarity of two triangles to solve this question.

Q: Find the area of the triangle with vertices P(1, 5, –3), Q(0,0, 0) and R(2, 4, 1). NOTE: Enter the…

A: use the cross product and determinant  for solving the area.

Q: (d) Determine all possible points P that lie on the line passing through B and D, so that the area…

A:

Q: Consider the points A(1, -3, 7), B(3, 2, 7) and C(-1, -1, k). Determine the possible value(s) of k…

A: Topic = Triangle Possible values of k are 6 and 8.

Q: Find the area of the triangle in R³ that has vertices P₁ = (1, 0, 1), P₂ = (2, 3, 1) and P3 = (0, 2,…

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Q: Find the area of the following triangle T. The vertices of T are​ O(0,0,0),​P(1​,3​,3​), and​…

A: Area of the triangle with vectors v and w is 12v×w

Q: Find the point P such that = r, where A(4,3, -2), B(-5,0,4) and r = AP AB

A: Internal division with section formula: - If P = (x,y) lies on a line segment AB (between points A…

Q: (a) Oppositely directed to v = (19, –14) and half the length of v. -19 V557 1. w = 2

A: Given ,v=19i-14j+0kAim)  find Oppositely directed to v and half the length of v.Therefore…

Q: B) Find the root and the height of (T, vo) where A = {1,2, 3, 4, 5} and T = {(1,4), (2, 3), (3, 1),…

A: As per bartleby guidelines for more than one questions asked only first should be answered. Please…

Q: The area of the triangle with vertices (1,1), (8, 7), (8, 1) is Select one: O a. 21 O b. 20 O c. 42…

A: The area of a triangle with vertices x1, y1, x2, y2 and x3, y3 is calculated by the following…

Q: Find the area of the triangle with the following vertices. A(1, 1, -1), B(2, 0, 1),and C(1, -1, 3) O…

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Q: Given the following points: P (1, 0, 5), Q(3,5,6) and R(-1,2,8) makes up a triangle. Find the…

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Q: Find the points on the cone z? = x² + y? that are closest to the point (3,2,0)

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Q: The perimeter of an equilateral triangle is 6. Find the length of the apothem and the area of the…

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Q: The pentagons ABCDE and JKLMN are similar. Find the length x of LM. M D 1.6 N L. 3.2 1.6 K 4.8 J 2.…

A: The pentagon ABCDE and JKLMN are similarCD=4                   And   LM =xCB = 1…

Q: M and N are the midpoints of sides RS and RT of ARST, respectively. M. R MN = x2 + 7 x(2x + 7)…

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Q: Find the distance between P and O(0, 0). P(−12, 16

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Q: The pentagons ABCDE and JKLMN are similar. Find the length x of LM. L. E 5.6 5.6 3 4.2 B A K J

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Q: The distance d from P1 = (3, - 4) to P2 = ( - 2, 1) is d =___________

A: Given P1 = (3, - 4) to P2 = ( - 2, 1)

Q: Find the area of the regular polygon. 4 (-3,5,3.25) E m= 2.41 i 2 A -6 -5 -4 -3 -2 -1 CO LO

A: pentagon

Q: The figure below shows a circle with center Q, diameter FO, and secant FD. Which of the angles must…

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Q: Find the area of JEN if the coodrinates of the vertices are J(0,3) E(6,0), and N(8,3)

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Q: Use calculus to find the area A of the triangle with the given vertices. (0, 0), (6, 2), (3,8) A =

A: Given:- Vertices of triangle (0,0),(6,2),(3,8) to find the area of the triangle  Equation of line…

Q: Find the points on the cone z? = x2 + y? that are closest to the point (-5,5,0)

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Q: (c) Find the area of the pentagon with vertices (0, 0), (5, 1), (1, 2), (0, 1), and (-2, 1).

A: To find the area of any polygon we arrange the vertex points given in either clockwise or…

Q: The quadrilaterals JKLM and PQRS are similar. Find the length x of QR. S R 3.6 2.7 K 7 6.3 2.

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Q: Find the area of a triangle formed by the lines 2x + 3y = 24, I- 2y = -9 and the y-axis. O 21/2 sq.…

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Q: R CX The length of BC is B.

A: Given, CR is perpendicular bisector of AB ⇒AR=RB=9 Let BC=x Then AC=x Also perimeter of triangle is…

Q: 3. A(-1, - 2), В(2, 1), С(0, 3)

A: Please refer the attached image for complete solution.

Q: Find the area of the triangle determined by the points P(-3,6, - 4), Q(2, – 3,2), and R(5, -3,-5). O…

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Q: O O O Find the distance between the two points * (8, 5), (5, 0) 4) V194 В) 12 ) 2v2 D) V34 О в O c D

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Q: Use A GHJ, where D, E, and Fare midpoints of the sides. D If HJ = &x – 2 and DF = 2x + 11, what is…

A: Question:- Use triangle GHJ, where D, E, and Fare midpoints of the sides. If HJ = 8x - 2 and DF = 2x…

Q: Ex.: Find the area of the triangle whose vertices are A(1,-1,0), B(2,1,-1) and C(-1, 1,2).

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Q: Which figure has the GREATEST area? y. -7- P. Q. K M 3- R .-9.-7-5 -3 -1 -3 -5 9. 3- -5- O A. kite…

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Q: find the perimeter of a pentagon with vertices M (-4,3) N (0,3) P (3,1 Q (3,2) and R (1,1) round to…

A: Solution: use distance formula to calculate the length of sides

Q: Use this formula to find the distance from the point P= (-2,3) to the line 3r – 4y + 5 = 0. 2. Let P…

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Q: Find the coordinates of the missing endpoint if E is the midpoint of . 9. D(–3, –8), E(1, –2)

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Q: (b) Find the area of the triangle whose vertices are A(0,0,0) ; B(1,1,1) and C(0,2,3). 1 (C) Find…

A: Given (b) The vertices are A0,0,0, B1,1,1, C0,2,3 c(1) y=1x2-1 c(2) y=9-x2

Q: (b) Find the area of the triangle whose vertices are A(0,0,0) ; B(1,1,1) and C(0,2,3). 1 (C) Find…

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Q: Find x. Then find the length of segment GJ. H 6. K 5,

A: Use formula of circle, when two secant line intersect externally

Q: E. Given: A and B are the midpoints of the sides of APQR. 9. x = 10. AB =. X+5 3-2

A: Given that AB=x+5 and RQ=3x-2 find x and AB

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.