3 years ago

4x-2y=12. Solve for y

Mathematics

1 answer:

crimeas [40]3 years ago

3 0

Answer:

y = -6 + 2x

Step-by-step explanation:

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Given: △FKL, FK=a, m∠F=45°, m∠L=30° Find: FL

drek231 [11]

The best way to do this is to draw a picture of ΔFKL and include line segment KM that is perpendicular to FL. This creates ΔFKM which is a 45°-45°-90° triangle and ΔLKM which is a 30°-60°-90° triangle.

Find the lengths of FM and ML. Then, FM + ML = FL

FM

ΔFKM (45°-45°-90°): FK is the hypotenuse so FM = $\frac{a}{\sqrt{2}} = \frac{a\sqrt{2} }{2}$

ML

ΔLKM (30°-60°-90°): from ΔFKM, we know that KM = $\frac{a\sqrt{2} }{2}$ , so KL = $\frac{a}{\sqrt{6}} = \frac{a\sqrt{6} }{6}$

FM + ML = FL

$(\frac{3}{3})\frac{a\sqrt{2} }{2} + \frac{a\sqrt{6} }{6}$

= $\frac{3a\sqrt{2} + a\sqrt{6} }{6}$

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Step-by-step explanation:

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