Answer:
v = - 5
Step-by-step explanation:
Given
- 18 = 5v + 7 ( subtract 7 from both sides )
- 25 = 5v ( divide both sides by 5 )
- 5 = v
Answer:
The distance between house to work is 13 miles .
Step-by-step explanation:
Given as :
The distance that man travel to north = OA = 5 miles
Now, From north ,man turn right and travel to east
So, The distance that man travel to east = AB = 12 miles
Let The distance between house to work = x miles
So, x miles is the displacement from north to east direction
i.e x = 
Or, x = 
Or, x = 
∴ x = 13
So, The distance between house to work = x = 13 miles
Hence, The distance between house to work is 13 miles . Answer
Answer:
Sherman can buy a toy that costs at most $7.20, or $7+1/5 for each one of his pets.
Step-by-step explanation:
36/5= 7 1/5
Answer:
y = 2x − 1
Step-by-step explanation:
By eliminating the parameter, first solve for t:
x = 4 + ln(t)
x − 4 = ln(t)
e^(x − 4) = t
Substitute:
y = t² + 6
y = (e^(x − 4))² + 6
y = e^(2x − 8) + 6
Taking derivative using chain rule:
dy/dx = e^(2x − 8) (2)
dy/dx = 2 e^(2x − 8)
Evaluating at x = 4:
dy/dx = 2 e^(8 − 8)
dy/dx = 2
Writing equation of line using point-slope form:
y − 7 = 2 (x − 4)
y = 2x − 1
Now, without eliminating the parameter, take derivative with respect to t:
x = 4 + ln(t)
dx/dt = 1/t
y = t² + 6
dy/dt = 2t
Finding dy/dx:
dy/dx = (dy/dt) / (dx/dt)
dy/dx = (2t) / (1/t)
dy/dx = 2t²
At the point (4, 7), t = 1. Evaluating the derivative:
dy/dx = 2(1)²
dy/dx = 2
Writing equation of line using point-slope form:
y − 7 = 2 (x − 4)
y = 2x − 1
