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bogdanovich [222]
3 years ago
10

Please simplify, 50 points.

Mathematics
2 answers:
olga55 [171]3 years ago
4 0

Answer:

The trigonometric equation  (sin Θ − cos Θ)^2 − (sin Θ + cos Θ)^3 can be simplified by:Using x for Θ: (sinx - cosx)^2 - (sinx + cosx)^2 = (sin^2 x - 2sinxcosx + cos^2 x) - (sin^2 x + 2sinxcosx + cos^2 x) = - 2 sinx cosx - 2 sinx cosx = - 4 sinx cosx = - 2sin(2x)

Step-by-step explanation:

Lady_Fox [76]3 years ago
3 0

Answer:

D

Step-by-step explanation:

Expand (sinΘ + cosΘ)²

= sinΘ - cosΘ - (sin²Θ + 2 sinΘcosΘ + cos²Θ)

= sinΘ - cosΘ - sin²Θ - 2sinΘcosΘ - cos²Θ

= sinΘ - cosΘ - 2sinΘcosΘ - (sin²Θ + cos²Θ)

= - 2sinΘcosΘ - cosΘ + sinΘ - 1 → D

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The function y=40x describes how far from home Shu Ling is as she drives from Dallas to Miami. Graph the function. Use the graph
oksano4ka [1.4K]

Answer:

You can see the graph below.

To answer the question, you need to draw a vertical line from x = 12h up, until the line meets with the line.

Once the line meets with the line, draw a horizontal line from that point, and the value where this line intersects with the y-axis will be the distance from home after 12 hours.

The graph is kinda hard to read because the line is really steep, the green line is the equation y = 40*x

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In the graph, you can see that the dashed line intersects the y-axis at around y = 475.

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