Why is it difficult to find the correct factors for a trinomial using The FOIL method?

Mathematics

1 answer:

Gemiola [76]3 years ago

3 0

Answer:

FOIL is not used to factor but to apply the distributive property.

Step-by-step explanation:

The FOIL method is used to apply the distributive property not factoring.

It is used to perform operations like (x-2)(x+6). FOIL stands for first, outer, inner, and last for the order of multiplying each of the four terms with the other terms.

$(x-2)(x+6)=x^2+6x-2x-12$

This is FOIL. Then we simplify to $x^2+4x-12$

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Two ships leave the same port in different directions, forming a 120° angle between them. One ship travels 70 mi. and the other

kondaur [170]

Answer : Distance between the ships to the nearest miles = 106.03 ≈ 106 mi.

Explanation :

Since we have shown in the figure below :

a=70 mi.

b=52 mi.

c=x mi.

$\text{Since two ships leaves the same port in different directions forming a }120\textdegree\text{angle between them.}$

So, we use the cosine rule , which states that

$c^2=a^2+b^2-2ab.cosC\\\\x^2=70^2+52^2-2\times 70\times 52\times cos(120\textdegree)\\\\x^2=4900+2704-7280\times (-0.5)\\\\x^2=7604+3640\\\\x^2=11244\\\\x=\sqrt{11244}\\\\x=106.03$