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2 years ago

A rope is 250 centimeters long.

Mathematics

2 answers:

lianna [129]2 years ago

7 0

Answer:

you need to convert meters into centimeters. See how many are in one meter, then do the rest

vekshin12 years ago

5 0

Answer:

100 centimeters

Step-by-step explanation:

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Answer: y = 2/3x - 1

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3 years ago

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Help! Please! Factor the polynomial completely. 32z^5-2z

Sever21 [200]

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2z(4z^2+1)(2z+1)(2z-1)

Step-by-step explanation:

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2 years ago

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Julio has 1000 square ft of living space. The n he added a room that was 20 ft by 10 ft. What was the percentage increase of liv

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3 years ago

Factor the polynomial, x2 + 5x + 6

patriot [66]

Answer:

Choice b.

$x^{2} + 5\, x + 6 = (x + 3)\, (x + 2)$ .

Step-by-step explanation:

The highest power of the variable $x$ in this polynomial is $2$ . In other words, this polynomial is quadratic.

It is thus possible to apply the quadratic formula to find the "roots" of this polynomial. (A root of a polynomial is a value of the variable that would set the polynomial to $0$ .)

After finding these roots, it would be possible to factorize this polynomial using the Factor Theorem.

Apply the quadratic formula to find the two roots that would set this quadratic polynomial to $0$ . The discriminant of this polynomial is $(5^{2} - 4 \times 1 \times 6) = 1$ .

$\begin{aligned}x_{1} &= \frac{-5 + \sqrt{1}}{2\times 1} \\ &= \frac{-5 + 1}{2} \\ &= -2\end{aligned}$ .

Similarly:

$\begin{aligned}x_{2} &= \frac{-5 - \sqrt{1}}{2\times 1} \\ &= \frac{-5 - 1}{2} \\ &= -3\end{aligned}$ .

By the Factor Theorem, if $x = x_{0}$ is a root of a polynomial, then $(x - x_0)$ would be a factor of that polynomial. Note the minus sign between $x$ and $x_{0}$ .

The root $x = -2$ corresponds to the factor $(x - (-2))$ , which simplifies to $(x + 2)$ .
The root $x = -3$ corresponds to the factor $(x - (-3))$ , which simplifies to $(x + 3)$ .