A resource which originated from nature and does not come from artificial substances
<u>(x-5)²+(y-5)²=36</u>
Answer:
Solution given:
radius [r]=6 units
centre[h,k]=(5,4)
we have
the equation of a circle is;
(x-h)²+(y-k)²=r²
(x-5)²+(y-5)²=6²
<u>(</u><u>x-5</u><u>)</u><u>²</u><u>+</u><u>(</u><u>y-5</u><u>)</u><u>²</u><u>=</u><u>3</u><u>6</u><u> </u><u>is</u><u> </u><u>a</u><u> </u><u>required</u><u> </u><u>equation</u><u> </u><u>of</u><u> </u><u>a</u><u> </u><u>circle</u><u>.</u>
ANSWER
C) 5.1 units
EXPLANATION
The coordinates of A are (5,2).
If this point is translated 1 unit to the left and 5 units down to create point A'.
Then A' has coordinates


The distance between A and A' is calculated using the distance formula,




We round to the nearest tenth to obtain,

The measurement that is closed to the distance is 5.1 units
The area of the square is obtained by taking the square of the length of one side. Since it is said that the area of the square is less than 100 m^2, taking the square root of that where: sqrt (100) = 10, the side of that square should be less than 10 as well. Among the choices, D. 0 <y <10 (where y = length of side of square) is the correct answer.
Plug in random values for x and find y value
assume x = 10 then y = 430
Express as ordered pair:(10,430)