<span>The speed is 57.5 m/s and the parachutist will fall 1150 m in 20 seconds.
Explanation<span>:
We start out with the ratio 207 km/1 hr.
We know that 1 km = 1000 m; this means 207 km = 207*1000 = 207000 m. This gives us 207000 m/1 hr.
We know that 1 hr = 60 minutes, so we have 207000 m/60 min.
We also know that 1 min = 60 seconds, so 60 min = 60*60 = 3600 sec; this gives us 207000 m/3600 sec.
Dividing this, we get 57.5 m/s.
In 20 seconds, the parachutist will fall 57.5(20) = 1150 m.</span></span>
The answer is: " y − 1 = - 3(x + 2) " .
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Explanations:
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<u>Note</u>: The "point-slope form" of the equation of a line is:
→ " y − y₁ = m(x −x₁) " .
We are given the slope, m" , is: " - 3 " ;
We are given a point on the line [on the graph that is represented by this equation]; with the coordinates: " (-2 , 1) " ;
→ which is in the format: " (x₁ , y₁) " ;
→ As such: " x₁ = -2 " ; " y₁ = 1 " ;
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As aforementioned, the equation of a line in "point-slope form" ; is:
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→ " y − y₁ = m(x − x₁) " ;
in which:
→ "(x₁ , y₁) " represents the coordinates of a given point on the [line of the graph represented by the equation] ; AND:
→ " m " = the slope of the line [represented by the equation] " ;
We proceed by substituting our known values for "m" ; "y₁" ; and "x₁" :
→ " y − 1 = - 3(x − (-2) ) " ;
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→ Rewrite as:
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→ " y − 1 = - 3(x + 2) " ;
→ which is our answer; since it is written in "point-slope form" .
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Answer:
When we multiply or divide by a negative to solve an inequality, it's the same as multiplying or dividing by a negative to solve a regular equation! Just remember to multiply or divide both sides by the same quantity, then simplify! Remember, when multiplying or dividing by a negative <u>YOU MUST FLIP THE INEQUALITY SIGN.</u>
Step-by-step explanation:
You are welcome.
And I hope this helps. :)
