Question

Hello!! I need help calculating the coordinates where these lines overlap. I have the answers, but I don't understand how to get there. I'm hoping you can show me your work! :)

Here's the first two:


`-\left[(2\left(x-400\right)^(2))/(800)-(3\left(y-340\right)^(2))/(900)\right]=1`



`(.08\left(x-380\right)^(2))/(10^(2))-(22\left(y-300\right)^(2))/(500^(2))=1`

the coordinate answers for this one should be (415.85, 317.9)


The second two are:


`y=.3\left(x-230\right)^(2)+30`



`(11\left(x-220\right)^(2))/(60^(2))+(11\left(y-40\right)^(2))/(30^(2))=1`

which should have a coordinate answer of (222.044, 48.987)

Thanks so much for your hard work!!!

Answer 1

Ask your teacher. sorry, this is so hard

Answer 2

A common fraction is a fraction whose denominator is the same with another fraction.

$$$\sqrt{x} \div\sqrt{y}$$ as a common fraction is \sqrt \frac{x}{y}}

The expression is given as:

$$$\sqrt{x} \div\sqrt{y}$$

Express as fraction

$$$\sqrt{x} \div\sqrt{y} = \frac{\sqrt x}{\sqrt y}$$

Rewrite as a common fraction

$$$\sqrt{x} \div\sqrt{y} = \sqrt \frac{x}{y}}$$

Hence, $$$\sqrt{x} \div\sqrt{y}$$ as a common fraction is \sqrt \frac{x}{y}}