What are coordinates of AABC with A(-4,3), B(3,1), and C(2,-5) after a reflection over the line y=x?

Q: Find b and c so that y 20z? + bæ + c has vertex (– 2, 2).

A: Given y=-20x2+bx+c. The given equation is an equation of a parabola. The vertex of a parabola y=fx…

Q: Calculate f (3xy + 4e²) dS, where S is the triangle with vertices (0, 0, 3), (1, 0, 2), and (0, 4,…

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Q: iv) through (1, 6) and parallel to y = 4x - 6

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Q: b) I = (x-8)² +2=y+3

A: Given that:To find: The value of x.Formula used:

Q: The plane through the points (-1,-2,-2), (-5,-3,2), (-5,2,7) has equation Ax + By + Cz = D. If A = -…

A: A = -25 B = 20 C = -20 D= 25  For detail....go through the solution.... You can solve this problem…

Q: Let ā = (1, 3,-1) and b (-1,0, 2). What is the y-component of ā x b %3D %3D 1 -1 3.

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Q: Show that the point (5,4,2), (6,2,-1) and (8,-2,-7) are collinear

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Q: b Let a = (-3, 0, -1) and 6 = (3, -3, -2). Find the component of b onto a.

A: To find the component of vector b onto vector a, we use the formula: Component of b onto…

Q: Determine the values of y such that D(9,3,-2), E(3,4,7) and F(21,y,-20) are collinear

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Q: the equation of the straight line passes through A(2,5) amd B (3,4) IS

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Q: Find the missing value in the coordinate points: (2, -1) (x,3) & (11, 11) whose line is a collinear

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Q: 1)calculate xy dady Where D is a triangle with vertices (0,0), (5,0) and (5,5) tip:Don't use the…

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Q: 2. Write the symmetric equation of a line through the points (0, 2,8) and (3,-3, 4). Find where this…

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Q: Find z,(-1,2) if z=In(5x°y²+2y*). Answer:

A: We can find the answer as below.

Q: Calculate (5xy + 4e²) dS, where S is the triangle with vertices (0, 0, 3), (1, 0, 2), and (0, 4, 1).…

A: Given

Q: a) Find the equation of the line passing through the point (4, -2) and (2, 8)

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Q: he points (0,3),(-2,-7),(-6,-27),(6,33),(4,23),(-1,-2) were plotted on the coordinate plane. What…

A: The data points in the order xi, yi are given as:  (0,3), (-2, -7), (-6, -27), (6,33), (4,23),…

Q: Q3) find the direction of A= 4i + 3/ + 12K (1) point

A: From the given problem:   A=4i+3j+12k   As we know that the direction of the vector is:   n^=A→A…

Q: B=(-83,57) 6-(27,-50) and D (30,51) 4. Points 0, A= (-79,-49), %3D calculate AB + B Ć t CD

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Q: If the points A (x,2) , B (-3,4) and C ( 7,-5) are collinear then find the value of x

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Q: Q1/ Are the following points collinear? 1- A(-3,-7), B(0,-2), C(6, 8) 2- A (9,2), B(3,8), C(-5,-4)

A: Here we need to find whether these points are collinear or not the points are , then

Q: c =

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