State whether the following statements are true or false. Justify your answer with a short-proof or a counter-example. A rectangle may become a square under a suitable translation of axes.

Q: A least squares regression line is f(x) = -3.19x + 123.63, r 0.59. The strength of the direction is:

A: Given that,R-squared

Q: 1 ---D-A- x1 0 + x2 1 + x3 -4 + x4 0 4 -12 -10 11 9 -8

A:

Q: What is the ordered pair that represents AB +AC ?

A:

Q: Determine whether the statement " Two lines in space are either intersecting or parallel", is true…

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Q: y 1 A G ( cos , sin 0 ) 8

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Q: 1. Which two lines are parallel? 1.5y--3x-5 2. 5y=-1-3x 3. 3y- 2x =-1 1 and 3 None of the lines are…

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Q: What are the missing coordinates of point Q?  Given A(7,1), B(4,8), and C(10,3), which coordinate…

A: Given, P(0,c) N(2a,0) PN=NQ Therefore,  ON=OQ Since, O is the origin, the coordinates of Q is given…

Q: Find direction numbers for the line of intersection of the planes x + y + z = 2 and x + z = 0.…

A: Given planes: x+y+z=2 and x+z=0.

Q: How would I draw, and find the x-intercept points if they do exist?

A: Standard form the circle:

Q: a) y = 3x-2x+1 b) 2x-9y=8 c) d)

A: We will classify given equations.

Q: Where C is a real number, the lines 3x + 2y = C, 2r + y = 5, and x - y = 4 are concurrent. Determine…

A: Given, 3x+2y=C 2x+y=5 x-y=4 are concurrent

Q: paralle M = be on planes Q and R respectively. A clear writing is expected.) (a) Why are the lines L…

A: Given, two pararllel planes Q and R. Let the lines                   L=1-2t, 4+t, 3 and M=5t, 1-t,…

Q: 9. to (x- 20)° 70°

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Q: If the lines a₁x + b₁y+C₁ = 0 and a₂x + b₂y + C₂ = 0 cut the coordinate axes at concyclic points,…

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Q: Explain the following (TYPEWRITTEN : 3-5 sentences): THUMBS UP WILL BE GIVEN! a. When does a line…

A: The general form of a line is ax+by+c=0. The slope of the line is obtained as m=-coordinate of…

Q: Two lines that have no points in common are______ parallel.

A: We know that in a plane two lines that have no points in common are called parallel lines

Q: Use the equations to find дz Әх az ду - дz Әх əz Әх = and ƏF Әх ƏF əz and дz ду əz ду x2 - y2 + z² -…

A: x2-y2+z2-6z=7∂z∂x=-∂F∂x∂F∂z∂z∂y=-∂F∂y∂F∂z

Q: What is the point or set of points in a plane equidistant from two parallel lines? Explain how you…

A: Set of points in nothing but the locus  Here we need to find the locus of all the points in the…

Q: Is the statement "in space, the perpendicular bisector of a line segment is unique." true or false?…

A: To check: Whether the statement is true and false. Given: The statement is "in space, the…

Q: State the converse, inverse, and contrapositive of "Two lines are rallel whenever they do not…

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Q: 7) Find the general equation of the straight line 1. 6. 4 3 -2 -1- -2 -3 -4 -6

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Q: Show that (4, —5) and (15, 12) are perpendicular.

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Q: 1. a) Identify the following equations as linear, quadratic or neither. i) y = -x? - 4x + 2 ii) y =…

A: We are authorized to answer three subparts at a time, since you have not mentioned which part you…

Q: Mark each statement true or false. For each, explain why the statement is true or provide a…

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