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CarMax is considering opening a new facility in Great Houston area to compete with local auto dealers. The current CarMax facilities are located at Humble, Katy, and Fresno. The location and sells per year are shown below with coordinates. Using a centroid method, determine the best location for the new facility. LOCATION COORDINATES Sells Per Year Humble 2200, 1500 1500 Katy 200, 800 800 Fresno 1500, 300 450 Using the centroid method, approximately what should the coordinates of the new facility be?

Samson Kaufman 2022-08-11

Let $G = {(x, f (x)) ∣ x lies between 0 and 1}$
Let $(1, 0)$ belong to $G$ .
It is given that tangent vector to $G$ at any point is perpendicular to radius vector at that point.
Is $G$ parabola or ellipse?

sapetih1i 2022-08-09

Let $X$ and $Y$ be distinct point. The line from $O$ to $X - Y$ is parallel to line from $Y$ to $X$ . A point on the line from $Y$ to $X$ is of the form:
$P = Y + a (X - Y) = a X + (1 - a) Y,$
where $a$ is a real number.

Trevor Rush 2022-08-08

Find the locus of a point p whose distances from two fixed points A, A' are in a constant ratio 1:M, that is |PA| : |PA'| = 1:M. ( M >0)

odigavz 2022-08-05

Draw the triangle in the plane with vertices (-2,0), (2,0), and (-2,4). What are the y-intercepts?? (Using Moulton Plane)

Ronnie Rojas 2022-08-04

Choose 3 inequalities that form a system whose graph is the shaded region shown above.
$A . y \leq - 2 B . y \geq - 2 C . 7 x - 4 y \geq - 13 D . 7 x + 2 y \geq 17 E . 7 x - 4 y \leq - 13 F . 7 x + 2 y \leq 17 G . x \geq - 2 H . y \leq 2$

Databasex3 2022-08-03

Compute the hyperbolic length of the following curves joining the points (0,1) and (1,2):
a) y= x + 1
b) y = x^2 +1
c) y= x^3 + 1

Crancichhb 2022-08-03

Find interpretations for the words point, line, and lie on that satisfy the following conditions.
a. Incidence axioms 1 and 2 hold, but incidence axiom 3 does not.
b. Incidence axioms 2 and 3 hold, but incidence axiom 1 does not.
c. Incidence axioms 1 and 3 hold, but incidence axiom 2 does not.

Roderick Bradley 2022-08-03

Find the slope and the equation for the line passing through the points: (2, -1) and (0, -1) .
a) m =
b) The equation for the line:

Mariah Sparks 2022-07-29

Points P, Q, R, S, T, and U are all different points lying in the same plane. Points P, Q, andU lie on the same line. The line through points P and Q is perpendicular to the line through points R and S. The line through points R and S is perpendicular to the line through points T and U. Which of the following sets contains points that must lie on the same line?

Shannon Andrews 2022-07-28

Find PD if coordinate P is -7 and coordinate of D is -1.

anudoneddbv 2022-07-27

Consider an incidence geometry in which every line has at least three distinct points (rather than at least two as requiblack by the second axiom of Incidence Geometry). What are the least number of points and lines that must exist? Note: You can show the existence of such a "minimum" geometry by constructing a model for it. On the other hand, you have to prove that there cannot be a model with less points or lines

Jaxon Hamilton 2022-07-26

Draw a line l and a point P not on l. Construct a perpendicular to l through P. Describe the construction steps and prove the steps are valid (i.e., that the line you construct is perpendicular to L.

Brenton Dixon 2022-07-26

A soccer player passes the ball from a point that is 18 yards from the endline and 12 yards from the sideline. The pass is received by a teammate who is 42 yards from the same endline and 50 yards from the same sideline, as shown in the figure. How long is the pass? (Round your answer to the nearest yard.)

Matias Aguirre 2022-07-26

14. Use the coordinate rules to rotate triangle ABC 90 degrees counterclockwise around the origin. List the coodinates and draw the image of triangle A'B'C'.
(a, b) ---- (_, )
A(-1, -2) ---- A' (,)
B(1, 2) ------B' (_,__)
C(3, -1) -----C' (_,____)
15. Find the matrix that results from a 270 degree counterclockwise rotation of triangle A'B'C'
16. Why would you expect triangle A"B"C" to have the same vertices as triangle ABC from problem 14?

Paxton Hoffman 2022-07-25

8. Graph the reflection of AB in the x-axis
9. Locate a point C on the x-axis such that AC + BC is minimized.
C = (______, 0 )
10. Fill in the values to complete item 8 with matrix multiplication.

Glenn Hopkins 2022-07-23

The sphere $x^{2} + y^{2} + z^{2} - 2 x + 6 y + 14 z + 3 = 0$ meets the line joining $A (2, - 1, 4), B (5, 5, 5)$ in the points $C$ and $D$ . Prove that $A C : C B = - A D : D B = 1 : 2$

Ibrahim Rosales 2022-07-20

Point $A$ has coordinates $(x_{1}, y_{1})$ , point $B$ has coordinates $(x_{2}, y_{2})$ andpoint $M$ has coordinates $(\frac{x_{1} + x_{1}}{2}, \frac{y_{1} + y_{1}}{2})$
Prove that $A M = \frac{1}{2} A B$

Lisa Hardin 2022-07-19

If the points $A (1, - 2), B (2, 3), C (- 3, 2)$ and $D (- 4, - 3)$ are the vertices of parallelogram $A B C D$ , then taking $A B$ as the base, find the height of this parallelogram.

aanpalendmw 2022-07-16

In the diagram to the right, point $P$ lies on the line $y = \frac{3}{2} x$ and is one vertex of square $P Q R S$ . Point $R$ has coordinates $(5, 0)$ .
a. Find the coordinates of point $P$ .
b. If point $R$ lies on line $l$ , and line $I$ divides quadrilateral $P Q R S$ into two regions of equal area, find the equation for line $l$ .

Coordinate geometry is a branch of mathematics that deals with geometric problems using coordinates. It is used to solve equations and questions by plotting points on a graph and by creating lines, circles, and shapes. It can also be used to calculate distances, angles, and areas. Coordinate geometry can help you understand real-world problems and visualize solutions. For example, it can be used to analyze the trajectory of a projectile or the location of a satellite. Whether you need help with coordinate geometry questions or equations, this math site can provide the answers. Take advantage of our experts and their extensive knowledge to get the help you need and learn more about coordinate geometry.

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