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NNADVOKAT [17]
3 years ago
9

What is the name of the shape graphed by the function r = 2 - costheta

Mathematics
1 answer:
Afina-wow [57]3 years ago
8 0

Answer:

limaçon (no inner loop)

Step-by-step explanation:

The equation of a limaçon is written generically as ...

r = b + a·cos(θ)

For b=2 and a=1, this would put the flat side on the left. Rotating it 180° can be accomplished by adding or subtracting π from θ. Then the equation can be ...

r = 2 + cos(θ-π) . . . . or ...

r = 2 - cos(θ)

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98°

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180° - 82° = 98°

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x - 10  = 28

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What is the driving time for a 1700 miles trip if you Drive an average speed of 53 mph
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32.08h

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3
Serjik [45]

Step-by-step explanation:

=  \frac{ \frac{3}{x - 2} - 5 }{2 -  \frac{4}{x - 2} }

=  \frac{ \frac{3 - 5.(x - 2)}{x - 2} }{ \frac{2.(x - 2) - 4}{x - 2} }

=  \frac{ \frac{3 - 5.(x - 2)}{ \cancel{x - 2}} }{ \frac{2.(x - 2) - 4}{ \cancel{x - 2} }}

=  \frac{3 - 5.(x - 2)}{2.(x - 2) - 4}

=  \frac{3 - 5x + 10}{2x - 4 - 4}

=  \frac{ - 5x + 13}{2x - 8}

=  \frac{13 - 5x}{2x - 8}

The answer is D.

8 0
2 years ago
( 7x + 1/2) + ( 7x - 7 and 1/2) Simplify
pishuonlain [190]

Answer:

The answer will be 7(2x - 1)

Step-by-step explanation:

1) Convert 7 and 1/2 to improper fraction. Use this rule: a b/c = ac + b/c

7x +  \frac{1}{2}  + 7x -  \frac{7 \times 2 + 1}{2}

2) Simplify 7 × 2 to 14 .

7x +  \frac{1}{2}  + 7x  -  \frac{14 + 1}{2}

3) Simplify 14 + 1 to 15.

7x +  \frac{1}{2}  + 7x -  \frac{15}{2}

4) Collect like terms.

(7x + 7x) + ( \frac{1}{2}  -  \frac{15}{2} )

5) simplify.

14x - 7

6) Factor out the common term 7.

7(2x - 1)

Therefor, the answer is 7( 2x - 1 ).

7 0
2 years ago
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