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Damm [24]
3 years ago
12

What is the coordinate for the image of point H(2, –6) under a 90° clockwise rotation about the origin?

Mathematics
1 answer:
iris [78.8K]3 years ago
4 0

Answer:

H (-2,6)

Step-by-step explanation:

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Consider the function V=g(x), where g(x) =x(6-2x)(8-2x), with x being the length of a cutout in cm and V being the volume of an
Andrej [43]

Answer:

The maximum volume of the open box is 24.26 cm³

Step-by-step explanation:

The volume of the box is given as V=g(x), where g(x)=x(6-2x)(8-2x) and 0\le x\le3.

Expand the function to obtain:

g(x)=4x^3-28x^2+48x

Differentiate  wrt  x to obtain:

g'(x)=12x^2-56x+48

To find the point where the maximum value occurs, we solve

g'(x)=0

\implies 12x^2-56x+48=0

\implies x=1.13,x=3.54

Discard x=3.54 because it is not within the given domain.

Apply the second derivative test to confirm the maximum critical point.

g''(x)=24x-56, g''(1.13)=24(1.13)-56=-28.88\:

This means the maximum volume occurs at x=1.13.

Substitute x=1.13 into g(x)=x(6-2x)(8-2x) to get the maximum volume.

g(1.13)=1.13(6-2\times1.13)(8-2\times1.13)=24.26

The maximum volume of the open box is 24.26 cm³

See attachment for graph.

6 0
3 years ago
Please help me out with the odds on this one (IMPORTANT) *determine whether the given relation is a function*
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Answer:

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Step-by-step explanation:

3 0
3 years ago
What is the areas of triangle
SashulF [63]

135 is the answer hope this helps

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Two sets of quadratic expressions are shown below in various forms: Line 1: x2 + 3x + 2 (x + 1)(x + 2) (x + 1.5)2 − 0.25 Line 2:
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Its line 1

if we expand the second and third expressions they come back to the first.

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Help<br> pls<br> its<br> a<br> test<br> t<br> t<br> t<br> t<br> t<br> t
andrew-mc [135]

Answer: C

Step-by-step explanation: Hope this help :D

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3 years ago
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