Find the Point at Which the Line Given by the Parametric

question 30

Short Answer

Find the point at which the line given by the parametric equations below intersects the plane.
$$2 x + 4 y - 3 z = - 48 ; x = 10 + 7 t , \quad y = - 10 , \quad z = 7 t$$

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Definitions:

Atmosphere

The layer of gases surrounding a planet or celestial body, gravitationally bound to it, and essential for many life forms.

Ocean

The ocean is a vast body of saltwater that covers more than 70% of the Earth's surface, important for climate regulation, transportation, and providing a habitat for countless species.

Biogeochemical Cycles

These are natural pathways by which essential elements of living matter are circulated through the biotic (living) and abiotic (non-living) components of the Earth.

Nonbiological Reservoirs

Environments or materials that can harbor or transmit disease-causing organisms without having biological functions themselves.