What are the excluded values of the function? y=2/(x^2-4)

Mathematics

1 answer:

Tresset [83]3 years ago

3 0

Excluded values are any values of x that make the denominator equal zero. In this case, -2 and 2 are excluded values.

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The perimeter of a triangle with two equal sides is 46 cm. If it's base were lengthened by 3 cm and each leg were shortened by 5

lana66690 [7]

Answer:

The original triangle has sides of 18 cm, 18 cm and 10 cm

Step-by-step explanation:

Let x cm be the length of the leg of the original triangle and y cm be the length of the base of the original triangle.

1. Since the perimeter of the original triangle is 46 cm, then

x+x+y=46.

2. If it's base were lengthened by 3 cm, then it becomes y+3 cm. If each leg were shortened by 5 cm, then each leg becomes x-5 cm. All three sides became equal, then

y+3=x-5.

3. Solve the system of two equations:

$\left\{\begin{array}{l}2x+y=46\\x-5=y+3\end{array}\right.\Rightarrow \left\{\begin{array}{l}2(y+8)+y=46\\x=y+8\end{array}\right.,\ 2y+y=46-16,\ 3y=30,\ y=10\ cm.$