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aliya0001 [1]
2 years ago
8

Twice the difference of a number and 9 is at least 17.

Mathematics
1 answer:
victus00 [196]2 years ago
8 0

Answer:

x ≥ 12.5

Step-by-step explanation:

2(x-9) ≥ 17---Use Distributive Property

2x-18 ≥ 17

2x-18+18 ≥ 17+18

2x ≥ 25

2x/2 ≥ 25/2

x ≥ 12.5

I hope this helps!

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Answer: approximately 5148 feet directly north of point A

This is equivalent to 0.975 miles

==============================================================

Explanation:

Check out figure 1 (attached image below) to see how the drawing is set up.

Points A and B are separated by 2 miles, or 10560 feet. Use the conversion factor 1 mile = 5280 feet.

Because sound travels at roughly 1100 feet per second (assuming all of the conditions are right), this means that after x seconds, the sound wave has traveled a total distance of 1100x feet. This is the distance from A to C. Point C is the firework location.

The distance from B to C is 1100(x+6) feet because it takes 6 more seconds for the soundwave to travel from C to B, compared from C to A.

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We can use the pythagorean theorem to solve for x

See figure 2 in the attached images to see the steps on solving for x. The numbers get quite big, though in the end x is fairly small. We end up with x = 4.68, which is approximate due to the 1100 figure being approximate.

This means the sound wave takes about 4.68 seconds to go from point C to point A.

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