A company loses $160 as a result of a shipping delay.

Mathematics

1 answer:

yan [13]3 years ago

4 0

Answer:

Bank dead

Step-by-step explanation:

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Which of the following points lies on the circle whose center is at the origin and whose radius is 5?

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Equation of the circumference whose center is at $\mathsf{C(0,\,0)}$ and whose radius is $\mathsf{r=5:}$

$\mathsf{(x-x_C)^2+(y-y_C)^2=r^2}\\\\
\mathsf{(x-0)^2+(y-0)^2=5^2}\\\\
\mathsf{x^2+y^2=25}$

We are looking for the point that satisfies the equation above.

 • Testing $\mathsf{(-3,\,4):}$

$\mathsf{(-3)^2+4^2}\\\\
\mathsf{9+16}\\\\
\mathsf{25\qquad\quad\checkmark}$

The point $\mathsf{(-3,\,4)}$ lies in the circumference.

 • Testing $\mathsf{(1,\,-2):}$

$\mathsf{1^2+(-2)^2}\\\\ \mathsf{1+4}\\\\ \mathsf{5\ne 25\qquad\quad\diagup\hspace{-9}\diagdown}$

The point $\mathsf{(1,\,-2)}$ doesn't lie in the circumference.

 • Testing $\mathsf{(\sqrt{5},\,\sqrt{5}):}$

$\mathsf{(\sqrt{5})^2+(\sqrt{5})^2}\\\\ \mathsf{5+5}\\\\ \mathsf{10\ne 25\qquad\quad\diagup\hspace{-9}\diagdown}$

So, the point $\mathsf{(\sqrt{5},\,\sqrt{5})}$ doesn't lie in the circumference either.

Answer: (–3, 4).

I hope this helps. =)

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A saturated fat is a type of fat in which the fatty acid chains have all or predominantly single bonds. A fat is made of two kinds of smaller molecules: glycerol and fatty acids. Fats are made of long chains of carbon atoms. Some carbon atoms are linked by single bonds and others are linked by double bonds.

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