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GalinKa [24]
4 years ago
15

Which geographical feature did the troops cross on their march to trenton?

History
1 answer:
Likurg_2 [28]4 years ago
7 0

While Washington's troops were on their way to Trenton they would go across very frozen lakes and rivers in small boats and had to walk miles upon miles after this. This did pay off though, the rivers essentially trapped the British into having them surrender, along with the high ground the Americans had.

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Line p passes through A(-2, -4) and has a slope of 1/2. What is the standard form of the equation for line p?
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Answer:

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Explanation:

From Analytical Geometry, we find that the standard form of the equation of the line is:

A\cdot x + B\cdot y = C (1)

Where:

x - Independent variable.

y - Dependent variable.

Besides, a line can be defined by the following formula:

y = m\cdot x + b (2)

Where:

m - Slope.

b - Intercept.

By direct comparison, we find the following relationships:

B\cdot y = -A\cdot x + C

y = -\frac{A}{B} \cdot x + \frac{C}{B}

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b = \frac{C}{B} (4)

If we know that (x,y) = (-2,-4) and m = \frac{1}{2}, then the intercept of the equation is:

b = y-m\cdot x

b = -4+\left(\frac{1}{2} \right)\cdot (-2)

b = -5

If B = 2, then A = -1 and C = -10, and the standard form of the equation is:

-x +2\cdot y = -10 (5)

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