Answer:
<h2>The answer is 5 units</h2>
Step-by-step explanation:
The distance between two points can be found by using the formula
![d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\](https://tex.z-dn.net/?f=d%20%20%3D%20%20%5Csqrt%7B%20%28%7Bx1%20-%20x2%7D%29%5E%7B2%7D%20%2B%20%20%28%7By1%20-%20y2%7D%29%5E%7B2%7D%20%20%7D%20%20%5C%5C%20)
where
(x1 , y1) and (x2 , y2) are the points
From the question
The points are (9,-7) and (5, -4)
The distance between them is
![d = \sqrt{ ({9 - 5})^{2} + ({ - 7 + 4})^{2} } \\ = \sqrt{ {4}^{2} + ({ - 3})^{2} } \\ = \sqrt{16 + 9} \\ = \sqrt{25}](https://tex.z-dn.net/?f=d%20%3D%20%20%5Csqrt%7B%20%28%7B9%20-%205%7D%29%5E%7B2%7D%20%2B%20%20%28%7B%20-%207%20%2B%204%7D%29%5E%7B2%7D%20%20%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B%20%7B4%7D%5E%7B2%7D%20%20%2B%20%20%28%7B%20-%203%7D%29%5E%7B2%7D%20%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B16%20%2B%209%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B25%7D%20)
We have the final answer as
<h3>5 units</h3>
Hope this helps you
<span>(x – 8)² + (y – 9)² = 3
(x – 8)² + (y – 9)² = 14
</span>are the correct answers
Two<span> trains </span>leave different<span> cities heading toward each </span>other<span> at </span>different<span> speeds. ... At the </span>same time<span>Train B, </span>traveling 60 mph<span>, leaves Eastford heading toward Westford. ... Since an equation remains true as </span>long<span> as we perform the </span>same<span> operation ... that the train's rate is 40 </span>mph<span>, which means it </span>will travel<span> 40 </span>miles<span> in </span>one<span> hour.</span>
=(f-g)(x)
=f(x)-g(x)
=x+6-(x-6)
=x+6-x+6
=12