Give the coordinates of C" of Rhombus ABCD with vertices A(1,-8), B(3,-9). C(4.-11), D(2.-10) after reflecting across the x-axis and then translating 4 units up.

Q: Do the points (1, 0,−1), (0, 2, 3), (−2, 1, 1), and (4, 2, 3) lie in the same plane? Justify your…

A: To check: If the points (1, 0,−1), (0, 2, 3), (−2, 1, 1), and (4, 2, 3) lie in the same plane and…

Q: Kelly is plotting points on a graph to make a rectangle. So far she has done (1,1) (1,5) and (3,1).…

A: Lets try to plot the graph first, then we will solve the problem.

Q: Write the equations of three non-parallel planes that all intersect at (-4, 7, 1).

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Q: A line passes through the center of a circle and intersects it at points (-1,2) and (5,10). What is…

A: equation of line passing through points (x1, y1) and (x2, y2) is:  y-y1=y2-y1x2-x1(x-x1)    Equation…

Q: Represent two planes that intersect at a line represented by 3. y- 7 = z+2 2.

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Q: The plane through the points (8,-2,-5), (4,-7,5), (3,-1,8) has equation Ax+By+Cz = D. If A = -75…

A: Given: The plane through the points (8,-2,-5),(4,-7,5),(3,-1,8) hasequation Ax+By+Cz=D. We are…

Q: find center verticals, foci and sketch its graph 2x2+3xy-4y2-3y+1=0

A: We are given : 2x2+3xy-4y2-3y+1=0 Plotting the graph, we have : This graph is a Hyperbola.

Q: The circle x² + y² - 18x + 8y +48=0 is translated one unit right and two units down. Which is the…

A: We know that general form of a circle equation is -  (x - h)2 + ( y -k)2  = r2. Here (h,k) is center…

Q: The center of the circle (x+3)2+(y-2)2=13 is(3,-2)

A: The given circle equation is (x+3)2+(y-2)2=13

Q: What is the equation of the circle passing through the points A(-1,3) and B(3,-3) and whose center…

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Q: A) Write the equation of the line PARALLEL to y + 3x = -8 and passes through (6,-4) Do NOT use the…

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Q: Find the line perpendicular to y=2x-3 and through the point (2,-3) B) find the lines both parallel…

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Q: Express point P- 3,- into Cartesian coordinates with an aid of a suitable diagram.

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Q: Write the equation of the perpendicular bisector that goes through the line segment with end points…

A: Given: Two points A(1,2) and B(-2, 8)