Consider the shaded square region on the s-plane, as shown in Fig. Q1. Let p =-Co, + j@, 1-5?, S'- plane find (a). the p location with largest @, . (b). the p location with smallest @, . (c). the p location with largest 5. (d). the p location with smallest 5. -4 -3

Q: What is the coordinates of P₁ if (1,-2,8) is the midpoint between P₁(x1,1,Z1) and P2(-4,5,6)?…

A:

Q: Sketch the graph of y = 3sinx on the interval ( -π , 4π )

A: Solution:-

Q: ind the slope of the altitude from the vertex R to side ST of triangle RST with vertices R (-2,7),…

A: The given coordinates of the vertices are: R(-2,7),S(4,3) and T(2,0) We know, the slope m of line…

Q: What is the distance between points A=(2,5)A=(2,5) and C=(−3,2.5)C=(-3,2.5)?

A: Given:A= (2,5) and C= (-3,2.5)

Q: Find the value(s) of x such that the distance between the points is 5. (7, 2), (x, −1)

A: The distance between the point (x1,y1) and (x2,y2) is given as d = (x1- x2)2 + (y1 - y2)2

Q: If the point A(2,7) was dilated by a factor of 2 with a center at the origin and then translated by…

A: A dilation by a factor of 2, transforms A(2,7) into B(4,14)  [Since, 2×(2,7) = (4,14)]

Q: Find the coordinates of ABC after a dilation of k = -4

A: The given question can be solved as shown in step 2.

Q: 3. Find PQ rounded to the nearest tenth. (Hint: use distance formula)

A:

Q: Find the distance between the points

A: Given,          The two points are A2,8 and B-8,2.

Q: Find the centre and radius of the circle x² + y2² - 4x+6y-23 = 0. O centre (2,-3), radius 6 O centre…

A:

Q: Find all values of x so that the triangle with vertices A=(-4. x. -4), B=(-1. 3.-7), and C-(-7.…

A:

Q: What are the coordinates of point P, the image of point (3, –4) after Rywx? А. (3.4) B. (-3,4) С.…

A: The point given is (3, -4)

Q: What is the ordered pair of the point that is located four units to the left of the origin and three…

A: Answer is  (4, 3)

Q: A circle centered at 0(5, -2) on the coordinate plane passes through the point (2.9, 6.8). Determine…

A: A circle centered at  and passes through the point .The objective is to determine whether the…

Q: Find the area of the quadrangle with vertices Area = (5,1). (-4, 5). (-3,-4), and (4, -3).

A:

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.