Answer:
1.8 mph
Step-by-step explanation:
Speed of the steamer in still water is 18 mph.
Speed of the current = x mph.
1. The steamer going downstream traveled the distance between two ports in 3 hours. Traveling downstream the current "helps" the steamer, then the speed is 18 + x mph.
The distance traveled downstream = 3(18 + x) miles.
2. The steamer going upstream traveled the distance between two ports in 3 hours 40 minutes that is hours. Traveling upstream the current "interferes" the steamer, then the speed is 18 - x mph.
The distance traveled upstream miles.
3. The distances are the same, so
Solve this equation:
Answer:
(2n + 7) (2n +7)
Step-by-step explanation:
To solve this problem we need to factorize 4n^2 + 28n +49 as shown below
thus, after factorization we see that first option is correct one
(2n + 7) (2n +7)
we can validate this by expanding it
2n (2n +7) + 7 (2n+7)\
=> 4n^2 + 14n + 14n + 49 = 4n^2 + 28n +49 (which is equal to the problem stated expression)
I'm assuming you are finding the equation of the line of Line J
Slope-intercept form: y = mx + b
[m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis]
For lines to be perpendicular, the slopes have to be negative reciprocals of each other. (basically changing the sign (+/-) and flipping the fraction/switching the numerator and the denominator)
For example:
slope = 2 or
Perpendicular line's slope = [changed sign from + to -, and flipped the fraction]
slope =
Perpendicular line's slope = [changed sign from - to +, and flipped the fraction]
Since you know the slope is 3, the perpendicular line's slope is . Plug this into the equation
y = mx + b
To find b, plug in the point (3, 8)
8 = -1 + b Add 1 on both sides to get "b" by itself
8 + 1 = -1 + 1 + b
9 = b