Use the discriminant to determine the number of x- ntercepts. y = x² - 4 A) the discriminant is 3) the number of roots is (choices are 0, 1

Q: What are the endpoints of the latus rectum of (x + 1) = -8 (y + 4) ? O (-1 ± 4, –6) O (-6 ±4, –1) O…

A: We will find the end points of latus rectum as shown below

Q: Explain how you can find the coordiantes of a point 1/8 of the way from point A to point B.

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Q: # Find the raetan gularu eondinates of the point (9,3* ,) which 4 is in spen sphenical coondinates.

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Q: Find all points having an x-coordinate of 3 whose distance from the point (-2,1)is 13 (a) By using…

A: (a) By using the Pythagorean Theorem (see graph below)   Let (-2,1) denote the coordinates of the…

Q: -) that passes through (-1,3) that is parallel to 2x – 5y = 1

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Q: エf ; え indepenelan Cordinaken Cou of a point, Show that,

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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…

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Q: The midpoint of AB is at (- 4, – 4). If A = (0, 4), find B. B is:(

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Q: Convert the point (r, 0, z) = 37 5, 3) to Cartesian coordinates. Give answers either as expressions,…

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Q: Suppose that (r, 0) describes the sailing speed, r, in knots, at an angle 0 to a wind blowing at 20…

A: To find the resultant speed

Q: # Find the naetangularu coorudinates of the point-( ,-) which is 4. 5 3 in cylindaient coordinates.

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Q: Find the points on the cone 2² = x² + y² that are closest to the point (3,-3,0)

A: Cone Equation: z2=x2+y2 Given point: 3,-3,0 To find: the points on the cone nearest to the given…

Q: make outbound 3B the corner achieve True false

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: The midpoint of AB is at (- 1, – 1). If A = (5, Tind B. %3D - B is:(

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Q: The area of parallelogram whose adjacent sides are i^-2j^+3k^ and 2i^+j^-4k^ is

A: Given sides arei^-2j^+3k^  &  2i^+j^-4k^

Q: The coordinates of a point in the xy-coordinate system are given. Assuming that the XY-axes are…

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Q: Determine y and z in terms of x give reason

A: Angle x = Angle y  And  Angle z = 180° - 2x

Q: Suppose that P is twice as far from (0, 0) as P is from (6, 0 Find such a point on the x-axis.

A: Let A0,0 and B6,0. It is given that P is twice as far from A0,0 as from B6,0. We know that if point…

Q: Sketch parallelogram-INDY with diagonals intersecting at point P in the box below on the left. If IP…

A: Given,           A parallelogram INDY with diagonals intersevting at point P.           IP=3x,…

Q: If A is (- 8, 3) and B is (- 4, – 1), then the midpoint of AB is (_?, ?_).

A: We know that, mid point of a line segment joining the points x1,y1 and x2,y2 is given as Mid…

Q: Two straight lines 3x – 2 y + 5 = 0 and 6x – 4y + 10 = 0 intersect at the origin. are coincident.…

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Q: Convert the point (r, 0, z) = 4, 2 to Cartesian coordinates. Give answers either as expressions, or…

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Q: The distance from the point (-1, -2, 3) to the line x = 1 + 2t, y = 2 - t, z = 3 - 2tis [a] (input…

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Q: The point that is symmetric with respect to the x-axis to the point (2,-5) is _____.

A: The point that is symmetric with respect to the x axis to the point (2,-5) is be found with the help…

Q: The point that is symmetric with respect to the y-axis to the point ( - 2, 5) is__________

A: It is known that the graph of y=fx is symmetric with respect to y-axis means f-x=fx=y.

Q: Find x so that the distance between (-2, 3) and (x, 1) is Ï29.

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Q: Suppose that point C lies in plane X and point D lies in plane X. What can you conclude regarding…

A: What can you conclude regarding CD↔.

Q: Three of the interior angles of a regular pentagon are each x. The others are each 3x. Findx.

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Q: 3. Use the distance formula to prove that the point (4,2) is on the parabola x = Sy. Prenared hu

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Q: Summarize the converse of the perpendicular bisector theorem. Ho

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Q: What is the image of the point (-5, 2) under the translation T34?

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Q: Find the relationship between x and y such that the point (x,y) is equidistance from the points…

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Q: In the xy-plane, line k intersects the y-axis at the point (0, –6) and passes through the point (2,…

A: Given:- In the xy-plane, line k intersects the y-axis at the point (0, -6) and passes through the…

Q: A parallelegram PRQS has P(-1,3), S(4,2), Q(5,-1). Find R

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

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Q: The distance from (6,-7, 10) to yZ-plane is

A: Concepts let (x, y, z) be a point then  1) distance of the point from XY plane is…

Q: Point I is on line segment HJ. Given IJ = 3x + 3, HI = 3x - 1 and HJ = 3x + 8, determine the…

A: Given that I is on line segment HJ HI = 3x -1 IJ = 3x + 3 HJ = 3x + 8

Q: 2) 2 4-2

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Q: Show that every point of R is zero distance from Q

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Q: Which quadrilater- al best matches the description be- low?

A: To matchDescription with their corresponding name

Q: Find the point on the line y =2x + 3that is closest to theorigin.

A: Given Data The equation of a line is y=2x+3   Consider the point (x,y) on the equation of line…

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

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Q: Below is the layout for the lobby of a building placed on a coordin- Statue 12 A. Entrance

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Q: show thet ® Coule+ AX, {) - A Cou(8iY)

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Q: Prove that the equation ax² + 2hxy+by² + 2gx+2 fy+c=0 wi h²2 = ab and bg2 = af?. Also find the…

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Q: Find two numbers y such that the distance from 1 - 3, 22 to15, y2 is 10.

A: The distance from -3, 2 to 5, y is 10.

Q: The midpoint of AB is at (0, 0). If A = (-5, 4), find B. B is: (

A: Given :A=-5, 4Mid Point of AB=0,0

Q: distance

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Q: What is the midpoint between points (4, 7) and (1, 1)? Enter your answer in the boxes.

A: