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taurus [48]
3 years ago
5

Consider the two lines describer the equations Ax + By = C and Dx + Ey = F

Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
3 0

Answer:

a).

<em>A</em><em> </em><em>must</em><em> </em><em>be</em><em> </em><em>equal</em><em> </em><em>to</em><em> </em><em>D</em><em> </em><em>i</em><em>.</em><em>e</em><em> </em><em>gradients</em><em> </em><em>must</em><em> </em><em>be</em><em> </em><em>equal</em><em>.</em>

b).

<em>The</em><em> </em><em>product</em><em> </em><em>of</em><em> </em><em>A</em><em> </em><em>and</em><em> </em><em>B</em><em> </em><em>must</em><em> </em><em>be</em><em> </em><em>equal</em><em> </em><em>to</em><em> </em><em>-</em><em>1</em>

c).

<em>A</em><em>,</em><em> </em><em>B</em><em> </em><em>and</em><em> </em><em>C</em><em> </em><em>must</em><em> </em><em>be</em><em> </em><em>equal</em><em> </em><em>to</em><em> </em><em>D</em><em>,</em><em> </em><em>E</em><em> </em><em>and</em><em> </em><em>F</em><em> </em><em>respectively</em><em>.</em>

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Step-by-step explanation:

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AB is a common external tangent to circles D and C. The points of tangency are at A and B. DC = 13, BC = 2 and AD = 7.
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Based on the calculations, the length of side AB is equal to 13.93 units.

<h3>How to find the length of AB?</h3>

Since the points of tangency are at A and B, we would determine the side length of the point lying between side A and D as follows:

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AM = 7 - 2

AM = 5 units.

Now, we can determine the length of side AB by applying Pythagorean's Theorem:

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AB = 13.93 units.

Read more on Pythagorean theorem here: brainly.com/question/23200848

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