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Anon25 [30]
3 years ago
13

Helpp plzzzz

Mathematics
1 answer:
jasenka [17]3 years ago
6 0

Answer:

D. 3x^2 + 3/2 x - 9

Step-by-step explanation:

(f+g)(x) = f(x) + g(x)

... = ((1/2)x -3) + (3x² +x -6) . . . . . substitute for f(x) and g(x)

... = 3x² +x(1/2 + 1) + (-3 -6) . . . . . combine like terms

... = 3x² +(3/2)x -9 . . . . . matches selection D

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The hour hand on a clock is 4 cm long, and the minute hand is 10 cm long. What is the exact distance between the tips of the han
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Answer:

2 sqrt(19)

Step-by-step explanation:

We know that the angle between the two hands

360 /12 *2 = 60 degrees

We divide by 12 because there are 12 number and multiply by 2 because there are 2 number between 10 and 12

This is a triangle where we know 2 sides and the angle between them.

We can use the law of cosines to determine the third side

c^2 = a^2 + b^2 -2abcosC

Where C is the angle between sides a and b

a =4 and b = 10  C = 60  and we are looking for side c

c^2 = 4^2 + 10^2 -2*4*10 cos60

c^2 =16+100 - 80cos 60

c^2 = 76

Take the square root of each side

sqrt(c^2) = sqrt(76)

c = sqrt(76)

c =sqrt(4) sqrt(19)

c =2 sqrt(19)


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