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2 years ago

71. the expression 14x 3 represents the perimeter of the triangle. what is the length of the third side? 3x 2 7x - 4

Mathematics

1 answer:

Alex2 years ago

4 0

The Length of third side of the triangle is 4x +5

What is the Triangle?

A triangle is a three-sided polygon that consists of three edges and three vertices. The most important property of a triangle is that the sum of the internal angles of a triangle is equal to 180 degrees. This property is called angle sum property of triangle.

How to determine the length of the third side of the Triangle?

The given parameters are:

Length of the first side = 3x+2

Length of the second side =7x-4

Perimeter of the triangle =14x+3

Now, The perimeter is the sum of the sides of lengths

So, we have

Perimeter = sum of the sides of lengths

According to the question:

14x+3 =3x+2 +7x -4 + third side

Evaluate the like terms

14x-10x = -2 -3

third side = 4x + 5

Hence, The length of the third side of the triangle is 4x+5

Learn more about of perimeter of the triangle

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Anna71 [15]

Answer:

$x=25.24$

Step-by-step explanation:

To find the value of $x$ , we are solving the exponential equation $-6.2^{0.1x} =-100$ using logarithms.

Let's solve it step-by-step

Step 1. Divide both sides of the equation by -1 to get rid of the negative signs:

$-6.2^{0.1x} =-100$

$\frac{-6.2^{0.1x}}{-1} =\frac{-100}{-1}$

$6.2^{0.1x} =100$

Step 2. Take natural logarithm to bot sides of the equation:

$ln(6.2^{0.1x)}=ln(100)$

Step 3. Use the power rule for logarithms: $ln(a^{x} )=xln(a)$

For our equation: $a=6.2$ and $x=0.1x$

$ln(6.2^{0.1x)}=ln(100)$

$0.1xln(6.2)=ln(100)$

Step 4. Divide both sides of the equation by $0.1ln(6.2)$

$0.1xln(6.2)=ln(100)$

$\frac{0.1xln(6.2)}{0.1ln(6.2)} =\frac{ln(100)}{0.1ln(6.2)}$

$x=\frac{ln(100)}{0.1ln(6.2)}$

$x=25.24$

We can conclude that the value of x in our exponential equation is approximately 25.24.

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Hey there Ag484p1stit,

Answer:

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