Answer:
The answer is below
Step-by-step explanation:
A circle is the locus of a points such that its distance from a fixed point is always constant.
Since the drone moves in a circular path, therefore the path of the drone forms a circle. The equation of a circle is given by:
(x - h)² + (y - k)² = r²; where (h, k) is the center of the circle and r is the radius of the circle.
Danny is located at the origin. Since the drone flies in a circular path around an object that is 210 feet west and 220 feet south of his position. Hence the center of the circular path is (-210, -220).
Also, the drone's path takes it over a point that is 160 feet east and 160 feet south of him i.e. (160, -160). Therefore the radius of the circle is the distance between point (-210, -220) and point (160, -160)
Using (x - h)² + (y - k)² = r²:
[x - (-210)]² + [y - (-220)]² = (√140500)²
(x + 210)² + (y + 220)² = 140500
x² + 420x + 44100 + y² + 440y + 48400 = 140500
x² + y² + 420x + 440y - 48000 = 0
Answer:
348000
Step-by-step explanation:
The place you want to round to is the thousands place. The place to the right of that is the hundreds place. If the digit in the hundreds place is 5 or more (and it is), then the rounded number will have 1 added to its thousands digit.
After making that adjustment (if necessary), all digits to the right (hundreds, tens, ones, and so on) will be set to zero.
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<em>Comment on rounding</em>
Various rounding schemes are in use. The one described above is the one usually taught in school. In real life, it has the disadvantage that it can add a bias to a set of numbers, making their total come out higher than desired. In order to counter that, a "round to even" rule is sometimes used.
In this problem, that would mean the thousands digit would only be changed on the condition it would be changed to an even digit. (Here, that rule would give the same result. The number 346500 would be rounded down to 346000, for example.)
Various spreadsheets and computer programs implement different rounding schemes, depending on the application and the amount of bias that is tolerable. So, you may run across one that seems to be "wrong" according to what you learned in school.
Answer: x=20
Explanation:
3x-10+5x+30=180
8x+20=180
8x=160
x=20
It telling you that your x and y are greater then 0. therefore it would be the first because both your x and y are positive and the third quadrant because when you multiple two negatives it gives you a positive.