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Rashid [163]
3 years ago
13

Find the value of k ​

Mathematics
1 answer:
Sholpan [36]3 years ago
4 0

9514 1404 393

Answer:

  k = -2

Step-by-step explanation:

The determinant can be formed by subtracting up-diagonal products from down-diagonal products:

  (x)(x+y)(y) +(y)(x)(x+y) +(x+y)(y)(x) -(x+y)^3 -x^3 -y^3

  = 3xy(x+y) -(x^3 +3x^2y +3xy^2 +y^3) -x^3 -y^3

  = -2(x^3 +y^3)

The value of k is -2.

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3 years ago
Find the length of CD shown in red below. Show all work.
PIT_PIT [208]

By definition of circumference, the length of the arc EF (radius: 6 in, central angle: 308°) shown in red is approximately equal to 32.254 inches.

<h3>How to calculate the length of an arc</h3>

The figure presents a circle, the arc of a circle (s), in inches, is equal to the product of the <em>central</em> angle (θ), in radians, and the radius (r), in inches. Please notice that a complete circle has a central angle of 360°.

If we know that θ = 52π/180 and r = 6 inches, then the length of the arc CD is:

s = [(360π/180) - (52π/180)] · (6 in)

s ≈ 32.254 in

By definition of circumference, the length of the arc EF (radius: 6 in, central angle: 308°) shown in red is approximately equal to 32.254 inches.

<h3>Remark</h3>

The statement has typing mistakes, correct form is shown below:

<em>Find the length of the arc EF shown in red below. Show all the work.</em>

To learn more on arcs: brainly.com/question/16765779

#SPJ1

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Step-by-step explanation:

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