Answer:
11.2 miles
Step-by-step explanation:
We can create a triangle from the information given.
<u>We can call the starting point (0,0) in the coordinate system.</u>
- <u>10 mi east</u> - 10 miles to the right. then,
- <u>5 mi north</u> - 5 miles above
<em><u>See the attached picture. The direct distance is labeled as x.</u></em>
Now we need to find x using pythagorean theorem.
Pythagorean Theorem = leg²+leg²=hypotenuse²
Solving for x:

<em>Rounding to nearest tenth, we have </em><em>11.2 miles</em>
<u>Answer:
</u>
The population of a city has decreased by 38% since it was last measured. If the current population is 27,900 .Previous population of city was 45000.
<u>
Solution:
</u>
Given that current population of city is 27900.
Also, population of a city has decreased by 38% since it was last measured.
Let assume that population of city when it was last measured = x
Decreased of 38% means x-38% of x . we can write this as,



So current population is 
Equating above expression to the given value of current population, we get


x=45000
Hence previous population of city was 45000.
Answer: Yes it is
Step-by-step explanation:
You have to take 2 times 5/2 witch is the same is 2.5
So 2.5 times 2
3 times 2.5
6 times 2.5 and that's how you get the answer
First add 14+2 so you have sqrt(x) +14=x. Next subtract the 14 to the other side and square both sides, so you have x=x^2+28x+196. Now subtract the x, then use quadratic formula to get the two solutions for the way you have the question typed. However, since I recognize this as being a test question from your FLVS course that is not typed correctly with the parenthesis that will give you the wrong answer. A better idea would be to review through the examples in the lesson, try a few practice problems, then you can easily solve by isolating the square root on one side by itself, then squaring both sides.