Answer:
Angle(APR) = 43
x = 21.5
Step-by-step explanation:
The given angles are complementary :
So APR + RPW = 90
APR = 43
2x = 43
x = 21.5
To answer this item, we have 4 as the speed of the kayaker in still water and the speed of current be y.
When the karayaker moves upstream or against the current, his speed would be 4 - y. Further, if he moves downstream or with the current, the total speed would be 4 + y. The time utilized for the travel is equal to the ratio of the distance and the speed.
Total time = 9/(4 - y) + 9/(4 + y) = 6
We multiply the equation by (4-y)(4+y)
9(4-y) + 9(4 + y) = 6(4-y)(4+y)
Simplifying,
72 = 96 - 6y²
Transposing all the constants to only one side of the equation and rearranging,
6y² = 96 - 72
y² = 4
y = 2
Hence, the speed of the river's current is 2 miles/hr. <em>The answer is letter B.) 2 miles/hour.</em>
Answer:
y = (-x/3) +1 or y = (-1/3 * x) + 1
Step-by-step explanation:
For the inverse of a function, you invert the y and x positions.
In your case:
y = -3x+3
The inverted function is:
x = -3y+3
When you solve this for y, you get:
-3y = x-3
y = -x/3 +1
