y A A -4 -2 4 В 6 x -2 C 42. Show that the triangle with vertices A(6, -7), B(11, -3), and C(2, -2) is a right triangle by using the converse of the Pythagorean Theorem. Find the area of the triangle. 2.

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Q: Q4) Find the intersection of the line x = and the sphere x? + (y – 3)² + (z – 2)² = 4. A) (1,1,0) B)…

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A: Given : AB=x+5BC=2x-11

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A: The solution is given below:

Q: a) Find the equation of line of intersection of the following planes 3x – 4y + 4z - 29 = 0 , 6x – 8y…

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A: Given that a diagram shows a triangle PQR with vertices P-2;8, Q4;4 and 1;-6

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Q: S and P are the midpoints of the legs, RT and QU, of trapezoid QRTU. If QR = 4y + 3, PS = -5y + 82,…

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A: Here given line as

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A: Solution:-   Given:-F=4y+7G=8x-15J=6x+7H=5y-18The opposite sides of a parallelogramare congruent .…

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Q: z-3V AVWX is a right triangle with altitude WU. What is XV? W 5 8 10 1/2

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Q: 20. For what value of b are the graphs of the pair of equations perpendicular? 3x+7y 7,y=* %3D

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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: ABCD is a parallelogram Given: AB =x+ 8 AE =x+ 2 BE = 2x-8 CD = 2x-5 CE =y-4 DE =y-1 B %3D 4. E…

A: Given- AB= x+8 AE= x+2 BE= 2x-8 CD= 2x-5 CE= y-4 DE= y-1

Q: Find the center of the circle x² + y² - 8x = 2. Select one: O a. (4,0) O b. (0,4) O c. (0-4) O d.…

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Q: The angle between the straight line х—1 y+3 z-5 and the -1 plane 4x - 2y + 4z = 9 is a) 60 b) 90 c)…

A: From the equation of the line x-12 = y+3-1 = z-52 , we find the direction vector as  (l,m,n) = (2 ,…

Q: xy dr + x?y° dy, C is the triangle with vertices (0,0), (1,0), and (1, 2).

A: By using green theorem, we calculate the given integral.

Q: %3D D 3.Write the image points for r (180",0) (ABCD) = AIBICIDI. A'( B' (

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Q: What is the axis of symmetry of y=z² - 5z? O z= 2 O z= O z= O z= 2 5 52 12

A: To find the axis of symmetry.

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Q: The figure below is a parallelogram. Y 18x + 1 12x 89 ° W Given that m/X = (18x + 1) *, m/XWY =…

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Q: 4. Determine the value of every variable in the rhombus below. W = x+3 3x + 2 y = y+1 z= . 54° M' R…

A: w = 54 degrees z = 36 degrees x = 1 y = 4

Q: What is the axis of symmetry of y 3z2 18r +57 A I=-27 B I=-3 C I = 3 D 1= 27

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Q: ive the center and radius of the circle. - 5)2 + y2 = 16 D (-5,0) r = 4 D (-5,0) r = 4 D (5,0) r = 4…

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Q: Match the quadric surfaces to its graph. A. y? + 22 = 4 + 4x? C. 9x? + 4y? = 36 + 36z2 B. 4x2 + y? +…

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Q: 2. Trapezoid STUV with vertices S(-7, -1). T(-2, -3). U(-2,-5), and V(-7,-7): 90° counterclockwise…

A: The rotation about 90° clockwise will change (h,k) to (k,-h). Therefore,

Q: Find the area of a triangle formed by the lines 2a + 3y = 24. x - 2y = -9 and the y-axis. O 63 sq.…

A: Given the equation of the lines2x+3y=24, x-2y=-9 formed a triangle. The formula for the area of the…