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BabaBlast [244]
3 years ago
10

Select all of the linear transformations from R3 to R3 that are invertible. A. Projection onto the xy-plane B. Reflection in the

origin C. Projection onto the z-axis D. Rotation about the y-axis by π E. Dilation by a factor of 4 F. Identity transformation: T(v)=v for all v
Mathematics
1 answer:
sergeinik [125]3 years ago
4 0

Answer: . Rotation about the y-axis by π

Step-by-step explanation:

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c=16*pi

a=64*pi

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If z is inversely proportional to r, and z= 32 when r=1.5, find r when z=8.
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Inversely proportional: z = k/r
k = 32 * 1.5 = 48
Plug that into equation
8 = 48/r
Multiply both sides by r
8r = 48
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Simplify the following polynomial expression? (5x^4-9x^3+7x-1)+(-8x^4+4x^2-3x+2)-(-4x^3+5x-1)(2x-7)
Gemiola [76]

Simplify the following polynomial expression:

(5x^4 - 9x^3 + 7x -1) + ( -8x^4 + 4x^2 - 3x + 2) - ( -4x^3 + 5x -1) (2x - 7)

Lets Simplify Your Equation, Step by Step:

(5x^4 - 9x^3 + 7x -1) + ( -8x^4 + 4x^2 - 3x + 2) - ( -4x^3 + 5x -1) (2x - 7)

Solution: ===> 5x^4 − 37x^3 − 6x^2 + 41x − 6 = 0

Distribute:

= 5x^4 + -9x^3 +7x + −1 + −8x^4 + 4x^2 + −3x + 2 + 8x^4 + −28x^3 + −10x^2 + 37x + −7

Combine Like Terms:

= 5x^4 + −9x^3 +7x + −1 + −8x^4 + 4x^2 + −3x + 2 + 8x^4 + −28x^3 + −10x^2 + 37x + −7

= (5x^4 + −8x^4 +8x^4) + (−9x^3 + −28x^3) +(4x^2+ −10x^2) +(7x + −3x + 37x)+(−1 + 2 + −7)

= 5x^4 + −37x^3 + −6x^2 + 41x + − 6

Hence, Answer:

= 5x^4 −37x^3 −6x^2 + 41x − 6 = 0

Hope that helps!!!! : )

4 0
2 years ago
Read 2 more answers
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