6 A polygon will be dilated on a coordinate grid to create a smaller polygon. The polygon is dilated using the origin as the center of dilation. Which rule could represent this dilation? F (x, y) (0.5 - x, 0.5 - y) G (x, y) (x-7, y - 7) .5 H (x, y) → Gx, 4Y) J (x, y) → (0.9x, 0.9y)

Q: Identify: axis of symmetry, intercepts of the axis. -2x + 2) = (y – $)* Anis of Sym-s There is no…

A: The given equation of the curve is: -2(x+2)=(y-5)2…

Q: Use Green's Theorem to evaluate (V1+r) dr+2ry dy, where C is the triangle with vertices (0, 0),…

A:

Q: The midpoint of JK is M(0, 1). One endpoint is J(-6, 3). Find the coordinates of endpoint K.

A: Given :  The midpoint of JK⏜ is M(0,1). One ndpoint is J(-6,3).  To determine the coordinates of K.

Q: Evaluate ffz + 3y - x^2 ds where S is the portion of z=2-3y+x^2 that lies over the triangle in the…

A: To find the value of given fds over given region.

Q: Evaluate (x + y)ds where C is the straight-line segment x = 4t, y = (12-4t), z = 0 from (0,12,0) to…

A: Let  where C is straight line segment  from .We know thatwhere

Q: 口 3. Which equation represents a circle with center (-5, 8) and diameter of 14?

A:

Q: 33. Find the directrix. (y- 9)2 - 8 O y = -9 O y = -7 O x = -7 | x = -9

A:

Q: Find the distance between the planes x + 3y – 2z = 3 and 2x - y - z = 4. %3D

A:

Q: Draw the bifurcation diagram for à = (x + 1)(x² – 2.x +r).

A: We are given : Now, the bifurcation diagram for this is :

Q: Determine the values of y such that D(9,3,-2), E(3,4,7) and F(21,y,-20) are collinear

A:

Q: Given that F = (2x + y2)i + (3y – 4x)j. Verify Green's theorem for F.dr around the triangle formed…

A:

Q: Apply T (x, y) = (2x/3,2y/3) to the following pentagons: (a) vertices (3,-3), (3, 3), (0, 6), (–3,…

A: Now in T(x,y)=(2x/3,2y/3)=(x/1.5 ,y/1.5) so by apply T(x,y) we are expecting that our pentagons area…

Q: The cylinder x² + y² = 25 intersects the plane x + z = 5 in an ellipse. Find the point on such an…

A: Given:The cylinder is: .The plane is .The cylinder intersects the plane in an ellipse.

Q: A triangular plate occupies the triangular region D with vertices (1,0), (5,0), and (1,4). The…

A: Given vertices of a triangular region are (1,0), (5,0), and (1,4) and the temperature at each point…

Q: the diagram: ΔLMNΔLMN  is a right-angled triangle with vertices L(−6;7),M(a;b)L(−6;7),M(a;b) and…

A:

Q: If a sphere passes through the points A(0, 1, 2) and B(−1, 2, 2) and its center C lies on the…

A:

Q: A 1.82 kg particle has the xy coordinates (-1.46 m, 0.325 m), and a 3.65 kg particle has the xy…

A: Given that, A 1.82 kg particle has the xy coordinates (-1.46 m, 0.325 m), and a 3.65 kg particle has…

Q: t G(u, v) = (6u + v, 32u + 9v) be a map from the uv-plane to the xy-plane. Find the image of the…

A: We have to find the equation of line in slope intercept form.

Q: Evaluate eリ+1 dA D where D is the triangle with vertices (0,0), (-1, 3), and (6, 2).

A:

Q: Find the area of the triangle formed by the points A = (3, –1, 2), B = (1, 1, 0), and C = (1,2,–1).

A:

Q: 4. Uine segment XY has endpoints X (5, 7) and Y (-3, 3). Find the equation for the perpendicular…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: ScF· dĩ, where F(x,y) = (6x - 2y)7+x²7, and C is the line segment Evaluate from (6, -3) to (0, 0).

A:

Q: x.y = Find the dot product of x = 2 and y = 2 H

A: Consider the vectors

Q: If UW = 4t- 16 and UY = t + 14, find UY in rhombus VWXY.

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.