Answer:
Equation of the tangent to the curve
y = 240x - 215994
Equation of the normal
y = (-1/240)x + 9.75 = - 0.00417x + 9.75
Step-by-step explanation:
y = (6 + 4x)² = 36 + 48x + 16x² = 16x² + 48x + 36
dy/dx = 32x + 48
At the point (6,900),
dy/dx = 32(6) + 48 = 240
Equation of the tangent at point (a,b) is
(y - b) = m(x - a)
a = 6, b = 900, m = 240
y - 6 = 240(x - 900)
In the y = mx + b form,
y - 6 = 240x - 216000
y = 240x - 215994
The slope of the normal line = -(1/slope of the tangent line) (since they're both perpenducular to each other)
Slope of the normal line = -1/240
Equation of normal
y - 6 = (-1/240)(x - 900)
y - 6 = (-x/240) + 3.75
y = (-1/240)x + 9.75
y = - 0.00417x + 9.75
Answer:

Step-by-step explanation:

Adding 1 to both sides of the equation.


Factoring the left side of the equation.




Taking the square root of both sides of the equation.


Subtracting 1 from both sides of the equation.


1.the flight from Baltimore to Miami is 2 hours and 35 minutes
2.the flight to Boston from Baltimore is the shortest.
Miami = 2hrs 35min
Boston = 1hr 15min
Atlanta = 1hr 55min
Indianapolis = 1hr 40min
You divide the numerator by the denominator, meaning you divide 32 by 3.
If < means less than than ≤ means less than or equal to