6 Lines Planes 10.5:
Q: 6) Find the angles of the triangle whose sides are the lines x+2y+ 5 = 0, x – 3y + 4 = 0 and 3x +…
A: As you asked only for problem 6 Angles or traingle are 90, 45,45
Q: Find the distance between P and Q. P(−4, 13); Q(−13, 4)
A: given pionts P and Q P = (−4, 13) and Q = (−13, 4)
Q: Find the distance between P and O(0, 0). P(9, −12)
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Q: Find a,b,c ∈ ℕ such that 50<a<b<c and a, b, c are the lengths of the sides of a right triangle.…
A: Given, a,b,c ∈ ℕ such that 50<a<b<c and a, b, c are the lengths of the sides of a…
Q: Find the distance between the points X = − 7 and Y = 3 using the ruler postulate.
A: Using ruler poster method we have
Q: Select all the letters of the shapes that have the following property: At least one diagonal is a…
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Q: Draw TV, where T = (-7, –7) and V = (9, 1). a. Use the partitioning formula to find the coordinates…
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Q: Find the area of the triangle with the given vertices. (Hint: 1/2 ||u x v|| is the area of the…
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Q: . b = . Find the Find the Span(a, b)? C 3. Let a %3D %3D
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Q: Summarize what is formed when each of the following intersect: a plane and a line, two lines, and…
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Q: Three or more points are collinear when they all lie on the same line. Use the steps below to…
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Q: How many triangles can you make using 6 non collinear points on a plane? A committee including 3…
A: Number of possible arrangement of data set is studied using the permutation and combination.…
Q: 2. Four points, A, B, C, and D lie on a circle having a circumference of 15 units. B is 2 units…
A: In the question all the points on the circle are given in reference to Point A so first draw a…
Q: %3D Line L and Line m are parallel lines that have been rotated 180°. The resulting images are show…
A: Please see the answer in Step 2.
Q: Areas in the Coordinate Plane Practice
A: Given coordinates are of triangle That is A(0,1), B(4,1) and C(0,4)
Q: Line m is shown on the coordinate plane. Which is the best definition of line segment ST? O A. all…
A: Given Coordinate plane
Q: Identify the line that is drawn on the given triangle below. O Median O Angle bisector O…
A: The given figure is -
Q: Line segment EG is partitioned by point F in the ratio 1:3. Point E is at E (0, 4), and point F is…
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Q: Directed line segment AB has endpoints A( – 10, – 2) and B( – 3, – 4) What are the coordinates of P…
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Q: Rectangle R undergoes a dilation with scale factor 0.5 and then a reflection over the y - axis. The…
A: Dilation is a process of transformation that changes the size of a figure. Dilation requires a…
Q: Let v and u: and let W= Span fu,v} 3 What is the dimension of w+? Explain
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Q: 2. Line segment AB has endpoints A (7, 3) and B (12, 18). What is the point that partitions AB…
A: Given segment AB has end point A(7,3) and B (12,18) We have to find the point that divide the AB…
Q: 6. Classify each angle in the diagram as an angle of elevation or an angle of depression. The dotted…
A: We have to choose correct option.
Q: 3. Let a = b = Find the Span(a, b)? (3)
A: Given a = 23 , b = 04
Q: P = (10, 1, 5) Q = (6, 3, 8) Find M, the midpoint of PQ.
A: GIVEN: P = (10, 1, 5) and Q = (6, 3, 8)
Q: Please provide detailed explanation, easy to understand.
A: Given that, there are 15 holes in the circle and they are evenly spaced around the circle. That is…
Q: (f) What is span(q, r)? (g) What is span(q, r, s)?
A: We have q=z2-1r=2z3-2s=z2-2z+1 All vectors are from vector space P3ℝ Solution f:…
Q: Directed line segment has endpoints A(−5,−6)A(-5,-6) and B(5,−3)B(5,-3) What are the coordinates…
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Q: Line segment EG is partitioned by point F in the ratio 1:2. Point E is at E (0, 4), and point F is…
A: According to section formula,The coordinates of the point dividing the line segment with coordinates…
Q: Show that the lines 2x+3y-2=0, 3x-2y+23=0 and x-5y+12=0 are the sides of an isosceles triangle. Find…
A: Plot the given 3 st. lines and mark the intersection points forming the triangle.
Q: 4. Triangle PQR has sides defined by [x, y] = [1, -3] + t [0, 1], [x, y] = [2, 4] + m [-1, -6], and…
A: 1. For finding the length of the sides of the given triangle, we need to find the coordinates of…
Q: Find the ratio of the perimeters and the area of two triangles . Triangle XYZ has vertices of…
A: Given: XYZ has the vertices of the trianglex=(1, -9), y=(5, 3) and…
Q: A(n) is a line or segment that goes through the midpoint of one side of a triangle and is also…
A: Explanation of the answer is as follows
Q: The coordinate plane below shows a triangular region at sea between three islands. Each unit on the…
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Q: Find midpoint and width for the class. 18.3-20.5
A: Given information: The given class for which the midpoint and width has to be tabulated is:…
Q: 4. a) Show that the points P(2,5,1), Q(4,6,3), R(-1,-5,2) and S(-3,-7,0) create a parallelogram b)…
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Q: Find the value(s) of y such that the triangle with the given vertices has an area of 10 square…
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Q: 8. On parallelogram ABCD below, if A(1, 1), B(8, 5), C(5, -5) and D(-2, -9), what are the…
A: Since you have asked multiple questions, we will solve the first question for you. If you want any…
Q: angles in the coordinate plane.PNG 22. J(-3, 2), K(2, 6), L(8, -1)
A: we will find measure of side using distance formula.
Q: e diagonals of the parallelogram nt sides.
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Q: e directed line segme
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Q: Determine the ratio of the directed line segment when partitioned by point P. F Directed Line…
A: Explanation of the answer is as follows
Q: 7. What is the best description of AB? altitude © perpendicular bisector median O angle bisector B
A: Altitude is the perpendicular line drawn from an angle of triangle to opposite side. Perpendicular…
Q: Find the value(s) of y such that the triangle with the given vertices has an area of 9 square units.…
A: Topic : coordinate geometry
Q: # 1: Tell whether the drawing below is a net, isometric, orthographic, or none. Choose This is a…
A: Topic- 3D drawing
Q: Points on the same line are called? a. Pointb. Line c. Coplanar d. Collinear points
A: Given: The points on the same line.
Q: 10, The ventices of A ABC are A (0, 0), B (6, 0), and C (3, 7). What type of triangle is A ABC? A.…
A: Here, the triangle with the given vertices is:
Q: convex polygon has only the vertices, A, B, C, D, E, and F. hat is the sum of the measures of the…
A: We will find the sum of interior angles of the given polygon.
Q: Find the distance of the segments of GH,IJ, and KL
A: The coordinates of the endpoints of the line segments of GH, IJ, and KL are:
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- If the image of the point (1 -2 3) in the plane 2x+3y-z=7 is the point x, y, z then the value of x+y+z4.)It is known that the plane α passes through the point (2, 1, 3) and contains the line g with the equation x-1/2 = y-2/3 = z-4/5. Find the distance of the point (1, 1, 1) to the plane αfind the equation of the planepassingthrough (1,0,-1)&(-1,2,1) andparallel to the line ofintersection of the two planes(3x+y-2z=6)(4x-y+3z=0)
- 7. The planes 3x + 6z = 1 and 2x + 2y - z = 3 intersect in a line. i. Show that the planes are orthogonal ii. Determine the equations of the connecting line of the planes.which of the following is the equation of the plane that is passing through the point P(2,2,-2) and vertical to the line of intersection of the planes x+2y-3z=3 and x+y+z=2? a)4x+3y-+z=12 b)5x-4y-z=4 c)4x-3y-z=4 d)5x-4y-z=6 e)4x-3y-z=6Find the equation of the plane passing through the points P1 (1, 2, ─1), P2 (2, 3, 1) and P3 (3, ─1, 2). Find the distance between these planes x + 2y - 2z = 3 and 2x + 4y - 4z = 7
- 2. a) Determine the equation of the line ℓ passing through the points (2, 1, 3) and (3, 2, 6). b) Determine the intersection between ℓ and the line ℓ ′ : (x, y, z) = (−2 − t, 2 + t, 1 + t), t ∈ R. c) Determine the intersection between ℓ and the plane π : 2x − 3y + z = 2.Which of the following is the equation of the plane that is passing through the point P(2, 2,-2) and vertical to the line of intersection of the planes X – 2y + 3z =3 and x+y+z=2 ? (a) -5x +2y +3z=-12 (b) -4x + y + 3z=-12 (c) –5x+2y+32 =-10 (d) -4x-2y+3z=-18 (e) -4x+y+3z=-10The equation of the Plane in the form of Ax+By+Cz+D=0 that passes through points (3,1,-2), (-1,2,4) and (2,-1,1). Which of the following is the possible sum of A,B and C.
- What is the equation of a plane where 1 of these spheres would be on one side of the plane and the other sphere would be on the other side of the plane : (x-2)2+(y-1)2+z2=1 and (x-1)2+y2+(z-4)2=0.36Find the point Q symmetric to the point P (1; 3; —4) with respect to the plane 3x+y-2z=0Determine the point on the plane 2x + 3y − 4z = 0 that is closest to the point P(1, 1, 1)