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dezoksy [38]
3 years ago
11

-2(8p+2)-3(2-7p)-2(4+2p)=0

Mathematics
1 answer:
zysi [14]3 years ago
8 0

-2(8p+2)-3(2-7p)-2(4+2p)=0

mutiply the first bracket by -2

(-2)(8p)= -16p

(-2)(+2)= -4

mutiply the second bracket by -3

(-3)(2)= -6

(-3)(-7p)= 21p

mutiply the third bracket by -2

(-2)(4)= -8

(-2)(+2p)= -4p

-16p-4-6+21p-8-4p= 0

-16p+21p-4p-4-6-8= 0 ( combine like terms)

5p-4p-4-6-8= 0

p-4-6-8= 0

p-10-8= 0

p-18= 0

move -18 to the other side to get p by itself

sign changes from -18 to +18

p-18+18= 0+18

p= 0+18

Answer: p= 18

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Answer:

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Step-by-step explanation:

We can consider 4 seconds to be 1 time unit. Then 8 more seconds is 2 more time units, for a total of 3 time units.

The distance is proportional to the square of the number of time units. After 1 time unit, the distance is 1² × 80 m. Then after 3 time units, the distance will be 3² × 80 m = 720 m.

In the additional 2 time units (8 seconds), the ball dropped an additional

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<em>Alternate solution</em>

You can write the equation for the proportionality and find the constant that goes into it. If we use seconds (not 4-second intervals) as the time unit, then we can say ...

... d = kt²

Filling in the information related to the first 4 seconds, we have ...

... 80 = k(4)²

... 80/16 = k = 5

Then the distance equation becomes ...

... d = 5t²

After 12 seconds (the first 4 plus the next 8), the distance will be ...

... d = 5×12² = 5×144 = 720 . . . meters

That is, the ball dropped an additional 720 -80 = 640 meters in the 12 -4 = 8 seconds after the first data point.

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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