Answer:
d(m) = (1.05 miles/min)*m
Step-by-step explanation:
Divide 2 5/8 miles by 3 1/2 minutes to obtain the unit rate (miles per minute):
2 5/8 miles
--------------------
3 1/2 minutes
First, convert 2 5/8 miles and 3 1/2 minutes to improper fractions:
21/8 miles 21/8 miles
------------------ = ---------------------- = 21/20 miles/minute
5/2 minutes 20/8 minutes
The constant rate is (21/20) miles/minute, or 1.05 miles/minute.
Thus, the equation representing the distance, d, that the car travels in m minutes is
d(m) = (1.05 miles/min)*m
Step-by-step explanation:
xy + 10 = 0. => y = -10/x.
2x + 3y = 7. => 3y = -2x + 7, y = -2/3 x + 7/3.
When -10/x = -2/3 x + 7/3,
-10 = -2/3 x² + 7/3 x, 2/3 x² - 7/3 x - 10 = 0.
=> 2x² - 7x - 30 = 0
=> (2x + 5)(x - 6) = 0
=> x = -2.5 or x = 6.
dy/dx = d/dx [-10/x] = 10/x².
When x = -2.5, dy/dx = 10 / (-2.5)² = 1.6.
When x = 6, dy/dx = 10 / (6)² = 5/18.
Hence the gradients at the points are 1.6 and 5/18.
Answer:
1+tan2x
Tan2x
= <u> sec²x </u> = <u>Sec²x </u> = cosec²x
Tan²x ( Sec²x/cosec²x)
Step-by-step explanation:
