A neighborhood planner uses a coordinate plane to design a new neighborhood. The coordinates $A(1,-1)$A(1,−1)​ , $B\left(1,-2\right)$B(1,−2)​ , and  $C(2,-1)$C(2,−1)​ represent House A, House B, and House C. The planner decides to place a playground centered at the origin, and moves the houses to make space. House A is now located at $A'(3,-4)$A′(3,−4)​ . What are the new coordinates of House B and House C when each house is moved using the same translation?

Q: The vertices of a triangle are (-2,7), (5,4) and (1,y). If the third point is in the fourth quadrant…

A: SOLUTION-

Q: Find the intersection. -2x + 3y - 4z = 3, -5x - 7y - 4z = 3

A:

Q: Find an equation for the line that passes through the points (-5,-4) and (-1, 2). D=0

A: Line passes through  (-5,-4) and (-1,2)  (x1,y1) and (x2,y2)

Q: Graph the line y y%3D +2 onto the coordinate plane below.

A:

Q: Explain what it means for a coordinate system to be right-handed and what it means for a coordinate…

A: A coordinate system is an imaginary set of axes where location of point is specified. We can locate…

Q: The town of Santa Ignacia is located about 20km west and 16km north of Tarlac National High School.…

A: The town of Santa Ignacia is located about 20 km west and 16 km north of Tarlac National High…

Q: basketballs. Assume that the number of defective basketballs produced is related by a linear…

A: Let us assume x is the total number of basket balls. And y be the number of defective basket balls.…

Q: Draw the right bisector of side AB and find its equation. The coordinates are A (-5 , 5), B (3 , 3)

A: The equation of right bisector is  y=4x+8

Q: (5, 0) (-2,-5)

A:

Q: Years (x) 1 3 Height in feet (y) 6 8 10 12

A: Since Tree G is already 6 feet tall it can be said that there is a constant 6 in the equation to be…

Q: Identify the vertex of the graph of y = 2x² + 12x – 5. а. (-4, -21) b. (-3, -23) с. (3, 49) (4. 75)

A:

Q: Graph the line through (-2,-7), m=6

A: First plot (-2, -7). Then for m=6. Go 6 unit up and 1 unit right. (-2+1, -7+6)=(-1,-1)

Q: (12 Find the function Y=0 +bx+C Whose graph.contains the Points 0,D, 63,-9, 6,27

A: To find the function y=ax2+bx+c whose graph contains the points (1,1), (-3,-9), (3,27). Solution: We…

Q: The y-coordinate is the second number of an ordered pair and represents the point's horizontal…

A:

Q: e whether the given point is a (1,0);y=2x-3

A: Given,An equation .Aim: To show whether  is a point of the equation .Concept used:To determine if a…

Q: IfA(-2,-1),(B(a,0),C(4,b) and D(1,2) are the vertices of a parallelogram .find the values of a and b

A:

Q: Find the equation of perpendicular bisector of the line s oining the pointsA(2, 3) and B(6, −5).

A: Provided that    A=(x,y)=(2,3) and B=(x',y')=(6,-5). The slope of AB is given by s, which can be…

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.