Sue knows that the perimeter of the triangle to the right is 13 inches. Can she find the length of the missing side? Explain

Mathematics

1 answer:

nydimaria [60]2 years ago

8 0

Wat does the picture look like? If you explain a little more, I can give u an answer

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18. When y = x?, which of the following expressions is<br> equivalent to -y ?

vitfil [10]

Answer:

-y=-x

The problem:

y=x then -y=?

Step-by-step explanation:

If y=x, then -y=-x.

Just like if u=9, then -u=-9.

Or, if -m=8, then m=-8.

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2 years ago

LAST TIME can someone explain how YOU FOUND OUT TAIWAN HAS 928 CASES, PLEASE HELP ME

polet [3.4K]

Answer:

you minus them

Step-by-step explanation:

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2 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 $(x + 3)$ .