Solve the Problem. -Determinants Are Used to Show That Three Points Lie on Points

question 164

Multiple Choice

Solve the problem.
-Determinants are used to show that three points lie on the same line (are collinear) . If then the points are collinear. If the determinant does not equal 0, then thepoints are not collinear. Are the points (4, -8) , (0, 5) , and (12, -34) collinear?

• A)Yes
• B)No

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Definitions:

Andes

A major mountain range along the western edge of South America, formed by the subduction of the Nazca Plate beneath the South American Plate.

Pyroclastic Flows

Fast-moving currents of hot gas and volcanic materials (such as ash and rock fragments) that flow down the slopes of a volcano during an explosive eruption.

Mudflows

Rapid flows of water-saturated earth material, primarily composed of mud and often triggered by heavy rains or volcanic activity.

River Valley

a long, narrow region carved by river erosion, often surrounded by hills or mountains.