D. The x and y values are both negative
2x + 3x = 100
5x=100
x=100/5
x= 20
Therefore, 2x=2×20=40
3x=3×20=60
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The correct answer is: C.5z
Further explanation:
A factor is a number that is multiplied with a number
Let us look at the options one by one
<u>A. z+5</u>
5 is not a factor as it is being added to z.
<u>B. z-5</u>
5 is not a factor as it is being subtracted from z.
<u>C.5z</u>
5 is a factor as it is being multiplied with the z and can be separated easily
Hence,
The correct answer is: C.5z
Keywords: Factors, Multiple Choice
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It looks like the integral is

where <em>C</em> is the circle of radius 2 centered at the origin.
You can compute the line integral directly by parameterizing <em>C</em>. Let <em>x</em> = 2 cos(<em>t</em> ) and <em>y</em> = 2 sin(<em>t</em> ), with 0 ≤ <em>t</em> ≤ 2<em>π</em>. Then

Another way to do this is by applying Green's theorem. The integrand doesn't have any singularities on <em>C</em> nor in the region bounded by <em>C</em>, so

where <em>D</em> is the interior of <em>C</em>, i.e. the disk with radius 2 centered at the origin. But this integral is simply -2 times the area of the disk, so we get the same result:
.