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Blizzard [7]
3 years ago
15

The lengths of three line segments are 4 centimeters, 5 centimeters, and 9 centimeters. Using this information, triangles can be

constructed.
Mathematics
1 answer:
ANEK [815]3 years ago
7 0
Well yes, one triangle can be constructed, but you wouldn't recognize it.
One of its angles is 180 degrees and the other two are both zero degrees.

Anybody who looks at it would think it's just a straight line segment, 9 cm long.
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Which of the following would best be solved using factoring the difference of squares? 2² + 3x - 10 = 0 O 3r² + 12x = 8 2³ +52²
IgorC [24]

Given: Different equations

To Determine: Which would be best solved using difference of two squares

Solution

The factorization of a difference of two squares is given below

a^2-b^2=(a-b)(a+b)

Let us examine each of the given equation

\begin{gathered} x^2+3x-10=0 \\ x^2-2x+5x-10=0 \\ x(x-2)+5(x-2)=0 \\ (x-2)(x+5)=0 \end{gathered}\begin{gathered} 3x^2+12x=8 \\ 3x^2+12x-8=0 \end{gathered}\begin{gathered} x^3+5x^2-9x-45=0 \\ x^2(x+5)-9(x+5)=0 \\ (x+5)(x^2-9)=0 \\ x^2-9=x^2-3^2=(x+3)(x-3) \\ Therefore \\ (x+5)(x+3)(x-3)=0 \end{gathered}\begin{gathered} x^2-25=0 \\ x^2-5^2=0 \\ (x+5)(x-5)=0 \end{gathered}

From the above,

\begin{gathered} x^3+5x^2-9x-45=0 \\ AND \\ x^2-25=0 \end{gathered}

The two equation above can be solved by difference of two square, but the equation below is the easiest solved using differnce of two square

x² - 25 = 0

3 0
1 year ago
A.line CD<br> B.line ED<br> C.point C<br> D.point D
Hunter-Best [27]
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igor_vitrenko [27]

Step-by-step explanation:

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JulsSmile [24]
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Verdich [7]

Answer:

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Step-by-step explanation:

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