If two vertices of an equilateral triangle are at (0, 0) and (2a, 0), what point is the third vertex? (0. 0) (2a. 0)

Q: Find equations for the altitudes of the triangle with vertices A(-3, 2), B(5, 4), and C(3, -8), and…

A: Given,           Altitudes of the triangle with vertices A(-3,2), B(5,4) and C(3,-8)

Q: Find all points on y-axis of the rectangular coordinate system that are a distance 6 from the point…

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Q: The question is also asking for the two points that define the latus rectum as well as graphing.

A: Given: focus at (-5,-4) directrix x=1

Q: Sasha plots the first two vertices of a right triangle in the coordinate plane. Where could she plot…

A: Given: Sasha plots the first two vertices of a right triangle in the coordinate plane To Find:…

Q: Points A, B, C, and D are consecutive vertices of a regular decagon withsides 20 cm long. AB and DC…

A: Each exterior angle in a regular decagon is 360°. Since number of sides is 10. Therefore, exterior…

Q: The end points of line segment 4, which lies in the xy-plane, are (-2, 5) and (6,-3). Which of the…

A: i have used the formula of midpoint of the two points and the slope point form of the straight line…

Q: Vertex y-intercept x-intercept Bola's toss y = -2x? + 4x + 0.75

A: topic- quadratic equations

Q: Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint.…

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Q: Three different parallelograms have vertices at (-1, 1), (2, 0), and (2, 3). Sketch them and find…

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Q: Find b and c so that y = – 5z² + bz + c has vertex (9, 1). c =

A: The given equation y=-5x2+bx+c has a vertex at (9, 1). The given equation is an equation of a…

Q: In the problem we use distance formula. Show that the points A(-2,9), B(4,6), C(1,0), and D-5,3) are…

A: The distance formula for any two points (x1, y1) and (x2, y2) is given by x2-x12+y2-y12units We use…

Q: Find the midpoints of the legs, then the length of the median of the trapezoid with vertices C(-4,…

A: Solution: Consider the given that vertices of trapezoid is C (-4, -3), D(-1, 4), E(4, 4), and F(7,…

Q: Verify that the points are vertices of a parallelogram and find its area A(2,-3,1) B(6,5,-1)…

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Q: Find b and c so that y 9x2 + bx + c has vertex (– 10, – 5). || - - b = C = ||

A: Given y=-9x2+bx+c and vertex(-10,-5) We have to find b ,c

Q: Find all points having a y-coordinate of - 3 whose distance from the point   (1, 2) is 13.

A: Consider the points are A = (x,-3) and B=(1,2) The distance between A and B is 13 units.   If the…

Q: Find nature of the triangle formed by the lines x2-3y2=0 and x=2

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Q: Prove that the points represent the vertices of a parallelogram. You may use the method of your…

A: The given points are A-4,7, B3,0, C2,-5 and D-5,2. Note that, the distance between 2 points x1,y1…

Q: In the triangle with vertices (2, 0), (3, 2), (4, - 3), find the equations of the altitudes, and…

A: Let ABC be the △ with vertices A3,2 , B2,0 , C4,-3 and AD altitude of △ABC drawn from vertex A. Let…

Q: find all points on the y-axis that are a distance of 6 from the point (3,-1)

A: Let the point is (0,y).

Q: Where could he plot the third point so the hypotenuse of the triangle has a length of 15 O (7, 4) о…

A: The marked points are (-5,7) and (7,7) and the length of the side joining these two points is 12. If…

Q: Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint.…

A: Let A and B are two endpoints of the segment AB. The coordinate of midpoint M is given by the…

Q: The three vertices of a parallelogram taken in order are (-1,0).(3, 1) and (2, 2)respectively.Find…

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Q: The figure satisfies the Midpoint theorem for a triangle. Calculate (x + y) 4у x + 4 6(у-1) 4x -2

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Q: A right triangle is in the first quadrant with a vertex at the origin and the other two vertices on…

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Q: Find the point where the common point of the circles x2+y2=25 and x2 +y2-12x-6y+35=0 intersects…

A: Here we have to find the point where the common point of the circles x2+y2=25 and x2 +y2-12x-6y+35=0…

Q: To begin deriving the equation of the line y = 2x, Davina drew a triangle with vertices (0, 0), (1,…

A: To find the equation of a line passing through two given points, we need to first join the two…

Q: The diagram shows a quadrilateral inscribed in a circle with angles y and 2y. Solve for y. |2y

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Q: Find point P(x,y) if it is equidistant between points A(2,9) and B(-3,6)

A: Given:-  Px,y is equidistant  from the points  A2,9  and  B -3,6 i.e,  AP=BP and  we know  that…

Q: Graph the image of square ABCD after a reflection across the y-axis. 10 4 2. -10 -8- -4 0. 4. 6. 8.…

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Q: Find the equation of the perpendicular bisector of th segment joining the points A(2, 3) and…

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Q: Test for symmetry with respect to each axis and to the origin. y2 = x2 − 5

A: The equation is y2=x2-5.   Test for symmetry about y-axis. Replace x with -x. y2=-x2-5y2=x2-5   The…

Q: Express yo Foci at (7, -8) and (15, -8) Vertices at (8, -8) and (14, -8)

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Q: Entong is standing on a location with coordinates ( 5,3) on a cirde, while Senyang is at ( 1,1) who…

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Q: The equation of circle C is (x+3)^2+(y-8)^2%3D36. What is its radius (h,k)? *

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Q: The equation of circle C is (x+3)^2+(y-8)^236. What is its center (h.k)? *

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Q: If point A is reflected over the y -axis and its original location was (2,3), where is its new…

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Q: What are the points of intersection between the graphs of the circle and parabola? x² + y? = 37 x² =…

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Q: Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint.…

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Q: If two planes intersect, is it guaranteed that the method of setting one of the variables equal to…

A: Let say one the intersecting two planes is Ax + By + Cz =D When we put z = 0 the Plane reduces to…

Q: The three vertices of a parallelogram taken in order are (-1, 0).(3, 1) and (2, 2)respectively.Find…

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Q: PO 6. If this triangle was reflected over the y-axis to form AH' J'K', what would be the coordinates…

A: I reflected this triangle about y axis

Q: The _____ of a triangle intersect in a point that is equi-distant from the vertices of the triangle

A: The circumcenter of a triangle intersect in a point that is equidistant from the vertices of the…

Q: When the 2-D shape is completely drawn, how many points will be inside the 2-D shape?

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Q: Find the coordinates of the point graph of y = Vx that is closest to the point (4, 0). Write the…

A: Given: y=x

Q: Fix one vertex at (0,a) in the (x,y)-plane and move another vertex along the x-axis. Show that the…

A: Given: A fixed vertex 0,a A second vertex moving along the x-axis. To show: The locus of the third…

Q: The equation of a circle C is given by x2 + y² = 9. Find the point on C that is closest to the point…

A: The equation of the given circle is: x2+y2=9 and the given point is -4,-2

Q: Find b and c so that y 1x? + bx + c has vertex - (– 2, 0). С —

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Q: Square QRST has two vertices at Q(-9, 5) and R(-7, 7). Which could be the coordinate of the vertex…

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Q: What is the vertex, the focus, directrix, and line of symmetry for 4 (y – 2) = (x + 1)2?

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Q: A triangle has one side that lies along the line y =1/4x and another that lies along the line y = -…

A: our objective is to find vertex of the given triangle formed by two lines