We need to see the "given system".
Given:
Point( 7, 5)
x = 7 and y=5
slope(m) = 1
We need to first find the intercept.
Substitute x=7, y=5 and m=1 into y=mx + b and solve for intercept(b)
5 = 1(7) + b
5 = 7 + b
5 - 7 = b
-2 = b
Now, form the equation by substituting the value of the slope and intercept into y=mx + b
y = x - 2
Answer:
g/(2 x 3)
Step-by-step explanation:
Your expression will be:
-Double 3 = multiply 3 by 2
-Divide g by the result (2 × 3)
g/(2 × 3)
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>
Step-by-step explanation:
the distance is sqrt ( (-6)^2 + (-12)^2) = sqrt( 36 + 144) = sqrt( 180) = sqrt(36*5) = 6 * sqrt(5)
2/(2+4) = 2/6 = 1/3
-2 + (1/3)*6*sqrt(5) = -2 + 2* sqrt(5)
6 + (1/3)*6*sqrt(5) = 6 + 2* sqrt(5)
