Answer:
a=1, b=-6, c=2, d=1
Step-by-step explanation:
You are given the function
Find the derivative:
The curve has a tangent line when x = 0 with equation y = 2x + 1, so
Hence,
The curve has a tangent line when x = 1 with equation y = -3x + 2, so
So,
From the second equation, a=-5-b, substitute it into the first one:
Answer:
400
Step-by-step explanation:
4/5 yo just times by a 100 to get your answer 400/500
Law of sines says:
a / sin(A) = b / sin(B) = c / sin(C)
where "a" is a leg of the triangle and "A" is its opposite angle.
You are given an angle of 31 degrees with its opposite leg being a length of 17.
You are then given an angle of 46 degrees and asked to find the length of its opposite side.
So you can create the following equation:
17 / sin(31) = a / sin(46)
Using a calculator to get the value of the sins (I'll round them to 3 digits for now), we get:
17 / 0.515 = a / 0.719
Now solve for a
17(0.719) = 0.515a 12.223 = 0.515a 12.223 / 0.515 = a a = 23.734
So rounded to tenths of a unit, a = 23.7
Convert "inches" to "feet" here. 30 in 1 ft 30
--------- = --------- = --------- ft
1 12 in 12
Now find the ratio of (30 ft / 12) to 9 ft:
30 ft
------
12 30
==== = ----------- Reduce this fraction; one way would be to
9 ft 12(9) write 30/9 as 10/3:
30 10
------- = ------------ = 5/18 (answer)
12(9) 12(3)