12. Graph the two equations and find the points in which the graphs intersect. a) y = -x², y = 2x2-1 b) x +y? = 1, x² +y = 1

Q: 2. The midpoint of the line segment between Pi (x, y) and point P2 (-2, 4) is Pm (2, -1). Find the…

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Q: Find the equation of the circle Busan bent X=y^2-y at point (0,1)

A: Given problem is : Find the equation of the circle Busan bent X=y^2-y at point (0,1) .

Q: 4. Write an equation of the circle that is tangent to both axes with radius VI1 and center in…

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Q: 1. Reflect the point (2, -4) over the y- axis. O a) (-4, 2) O b) (-2, 4) O c) (-2, -4) O d) (2, 4)

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Q: What is the equation of the graph? A. y = 4cos (3x) В. у %3D 4sin (3х) С. у %3D Зсos (4x) D. y =…

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Q: Which point is one fourth of the way between point A and point B on the line segment AB shown on the…

A: Here we will find the point which is one forth of the way between point A and point B,

Q: If two vertices of an equilateral triangle are at (0, 0) and (2a, 0), what point is the third…

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Q: When will the two players have the same x coordinate? When will the two players have the same y…

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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: 14) Write the equation of the perpendicular bisector of segment QR if Q(3, -2) and R(7, 6)

A: Find the equation

Q: . In the standard (x, y) coordinate plane, a line segment with the endpoints (-1, 3) and (4, 3) is…

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

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Q: Consider the two points (4, –3) and (5, 7). The distance between them is: The x co-ordinate of the…

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Q: What are the coordinates of the vertices of AA'B'C' after a reflection across a line through point P…

A: Given, ∆A'B'C' is formed after a reflection across a line through point P followed by a translation…

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: A yacht is travelling on a course parallel to and 80 kilometers from the straight shoreline of…

A: Given,         A yacht is traveling on a course parallel to and 80 kilometers from the straight…

Q: What value of K will make the lines 2x + 3y -2= 0 and -6x + Ky= 3 perpendicular? Parallel?

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Q: 8. In general, if the line y = mx + b is rotated 90° about a point (x, mx + b), explain how you can…

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Q: 3. Determine the radius of a circle that passes through (5, 12). Hint: Substitute x 5 and y = 12…

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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: 1 The equation Y=x+4 is graphed below. Which equation would intersect this line at the point (4, 6)?…

A: let m be the slope of the line passing through the point (4,6) Then equation of the line is…

Q: 21. Write the standard equation of a circle with center (-4, 0) and radius 3. (x- 4)2 + y2 = 3 (x+…

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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: Write the equation in standard form of the circle whose center is at (0, 0) and that is tangent to x…

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Q: If this trapezoid is moved through the translation (x+3, y-2), what will the coordinates of B' be?

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Q: 5. Żyan located a point at (-3, 0). Which axis is the point touching?

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Q: How do you compute |PQ| from the coordinates of the points P and Q?

A: Suppose the coordinates of P and Q  are given as, a,b and c,d. Then to compute PQ⇀,   PQ⇀=c-a2+d-b2…

Q: (b) Find the point of intersection of these two lines. Show all working and give the exact answer

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Q: Find the point(s) on x = 3 – y? that are closest to point A=(1,0).

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Q: 1. Which of the following points in the standard (x, y) coordinate plane is farthest from the…

A: Find the distance of each given point from origin Using distance formula.

Q: 7. Given that M4,6) is the mid-point of the line segment joining C(2, -3) and D, find the…

A: Since you have asked multiple question,as per our guidelines we are supposed to answer only one…

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

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

A: The coordinates of triangle ∆ABC are A-4, 3, B3, 1 and C2, -5To find the reflection over the line…

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Q: Three students, Alicia, Benjamin, and Caleb, are constructing a square inscribed in a circle with…

A: It can be solved easily by using geometrical figures properties.

Q: Construct three parallel lines so that the middle line is not equidistant fromthe other two. Then…

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Q: Graph the image of parallelogram STUV after a reflection across the line y = x. 10 8 21 -10 -8 -1 -4…

A: Graph of the parallelogram is given, it is reflect about the line y=x

Q: Which pointis two fifths of the way between point A and point B on the line segment AB shown on the…

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Q: what is the geometric plàce of points multiplication two given whose of their distance to the lines…

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

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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

Q: At point (1,y), what is y?

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Q: If you wanted to reflect a line segment with one endpoint at (x,y) about the x-axis, which of the…

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Q: A rectangle has a vertex at J(2, 2), H(4, −2), and G(−2, −5). What are the coordinates of the fourth…

A: You know that the diagonals of a rectangle bisect each other.

Q: Find the coordinates of the points that are 15 units away from the origin and have a y-coordinate…

A: Given y- coordinate = -12

Q: Which point is two fifths of the way between point A and point B on the line segment AB shown on the…

A: Given query is to find the point at distance 2/5 from A.