Answer:
4 mph
Step-by-step explanation:
Travel time is proportional to distance and inversely proportional to speed. If c represents the speed of the current in miles per hour, an equation for the total trip time is ...
825/(29 -c) +825/(29 +c) = 58 . . . . . . hours travel time
825(29 +c) +825(29 -c) = 58(29 -c)(29 +c)
58c² -928 = 0 . . . . . . . rearrange to standard form
58(c -4)(c +4) = 0 . . . . factor
Values of c that satisfy this equation are 4 and -4. For the purpose here, we'll choose the positive solution.
The speed of the current is 4 miles per hour.
The slope of the line is 1.
Find the slope intercept form equation by using the point slope formula which is y=x+1;)
Answer:
b
Step-by-step explanation:
In trigonometric ratios, the cos (x) = adjacent over hypotenuse.
Therefore, in the diagram, cos (55°) = s/q
To isolate q, divide both sides by s
cos (55°) / s = 1/ q
Then flip both numerators and denominators (raise both sides to the power of -1)
q = s / cos (55°)
Answer is D
Answer:
Y = -5x + 29
Step-by-step explanation:
The first step is finding the slope:
y2 - y1 / x2 - x1
-1 - 4 = -5
6 - 5 = 1
-5/1 = -5
Now to point slope form ( y - y1 = m (x - x1)
Let's use the point 5, 4.
y - 4 = -5 (x - 5)
Time to simplify to slope intercept form ( y = mx + b)!
1. distribute
y - 4 = -5x + 25
2. Add 4 to both sides, making y alone.
Y = -5x + 29
