chimwim7515
10.02.2020 •
Mathematics
A motorboat maintain a consistent speed of 22 mph relative to the water and going 56 miles upstream and then returning the total trip was 5.5 hours use this information to find the speed of the current
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Ответ:
the speed of the current is 51.85 mph
Step-by-step explanation:
Let x represent the speed of the current.
motorboat maintain a consistent speed of 22 mph relative to the water. Assuming it moved in the direction of the current while going downstream, its total speed would be (22 + x) mph
If it moved against the direction of the current while going downstream, its total speed would be (22 - x) mph
Time = distance/speed
Assuming it went 56 miles upstream and 56 miles downstream, then time taken to go upstream is
56/(22 + x)
Time taken to go downstream is
56/(22 - x)
Since the total trip was 5.5 hours, then
56/(22 + x) + 56/(22 - x) = 5.5
Cross multiplying by (22 + x) and (22 - x), it becomes
56(22 - x) + 56(22 + x) = 5.5[(56 + x)(56 - x)
1232 - 56x + 1232 + 56x = 5.5(3136 - 56x + 56x - x²)
1232 + 1232 = 17248 - 5.5x²
5.5x² = 17248 - 2464 = 14784
x² = 14784/5.5 = 2688
x = √2688
x = 51.85
Ответ:
in this case, the easiest way to graph the line is to test two (2) easy values, find two (2) ordered pairs, locate them on the coordinate grid, and draw a line through those points.
an obviously easy x-value would be -4. this would make the right side equal zero:
y + 2 = 32(-4 + 4)
y + 2 = 32(0)
y + 2 = 0
y = -2
ordered pair: (-4, -2)
another easy one would be x = -3.
y + 2 = 32(-3 + 4)
y + 2 = 32(1)
y + 2 = 32
y = 30
ordered pair: (-3, 30)
first ordered pair: (-4, -2)
now, just plot those points on the graph and you will have the line that represents y + 2 = 32(x + 4).