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Oliga [24]
3 years ago
15

The quadratic function d= -4x+1,100 models a snowboarder's distance, in feet, from the bottom of a hill x seconds after the snow

boarder starts moving down the hill. After how many seconds is the snowboarder 100 ft from the bottom of the hill?
Mathematics
1 answer:
Fynjy0 [20]3 years ago
7 0

Answer:

16 seconds (Approximately)

Step-by-step explanation:

Given:

The function that gives the distance of snowboarder from the bottom of hill with time 'x' is:

d=-4x^2+1100

Final position of the snowboarder is d=100\ ft

Now, plugging in 100 for 'd' and solving for 'x', we get:

100=-4x^2+1100

Adding -1100 both sides, we get:

100-1100=-4x^2+1100-1100\\-1000=-4x^2

Dividing both sides by -4, we get:

\frac{4x^2}{4}=\frac{1000}{4}\\x^2=250

Taking square root and neglecting the negative root as time can't be negative. So,

\sqrt{x^2}=\sqrt{250}\\x=5\sqrt{10}=15.8\ s\approx 16\ s

Therefore, after 16 seconds, the snowboarder will be at a distance of 100 ft from bottom of hill.

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Answer:

The answer to your question is Ф = 45°

Step-by-step explanation:

Data

A (1, 4)

B (-1, 2)

Process

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formula

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Substitution

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Slope definition, is the steepness of a line and also is the tangent of the angle of the line.

                          tangent Ф  = slope

                          tangent Ф = 1

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3 years ago
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If 8a + 7b + c = 9, what is -6c - 48a - 42b
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Answer:

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Rearranging the equation

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Answer:

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1 year ago
Solve the following equation for n.<br> n+18=m
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The graph is attached.

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To find how far the catch had to travel to reach the surface, we set up our equation as:
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