Which statement are true

Mathematics

1 answer:

Ket [755]3 years ago

5 0

Answer:

Line XY contains ray OX and ray OY
Line XY contains segment YX
Ray YX exists in the diagram

Step-by-step explanation:

A ray can be named by any pair of points on an infinite line. Point O, X, and Y on the same line can be used to name rays OX, OY, XY, YX, OY, and XO. The first point named is the end point of the ray. The ray goes through the other point and continues indefinitely.

BA can be the name of a line segment, but not a ray. The line shown does not extend from point B beyond point A.

Any segment can be named by its end points in either order.

So, we have ...

Line XY contains ray OX and ray OY
Line XY contains segment YX
Ray YX exists in the diagram

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3 years ago

The following system has a solution: x=10, y=-3, z=14

wolverine [178]

<h2>Answer:</h2><h3>False</h3>

<h2>Step-by-step explanation:</h2>

In this problem, we have the following System of Three Equations in Three Variables, so our goal is to determine whether $x=10, \ y=-3, \ z=14$ is the solution to this system, that is, the ordered triple $P(x,y,z)$ where three planes intersect.

The easier way to find the answer is to plug in the x, y and z values in the equations and figure out whether the equations satisfy the solutions. Then:

$First \ Equation: \\ \\ 3(10)+7(-3)-14=-5 \\ \\ It \ satisfies \ the \ first \ equation \\ \\ \\ Second \ Equation: \\ \\ 9(10)-(-3)-4(14)=37 \neq 17 \\ \\ It \ doesn't \ satisfy \ the \ second \ equation$