Find the Distance Between the Planes $5 x - 2 y + z - 4 = 0,5 x - 2 y + z + 6 = 0$

question 36

Multiple Choice

Find the distance between the planes. $5 x - 2 y + z - 4 = 0,5 x - 2 y + z + 6 = 0$

• A) \(\frac { 1 } { 6 }\)
• B) \(\frac { 1 } { 3 } \sqrt { 30 }\)
• C) \(\frac { 5 \sqrt { 30 } } { 6 }\)
• D) \(\frac { 5 } { 6 }\)
• E) \(\sqrt { 30 }\)

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Definitions:

GDP

Gross Domestic Product, the total value of all goods and services produced within a country over a specified period.

MPC

The marginal propensity to consume, which measures the portion of additional income that an individual spends on consumption instead of saving.

Multiplier

In macroeconomics, a factor that quantifies the effect of an initial change in the economy (such as investment or spending) on the total level of economic activity.

Automatic Stabilizers

Economic policies and programs designed to offset fluctuations in a nation's economic activity without additional government action.