Suppose we let 
, so that 
.
Also, recall the double angle identity for cosine:
So, we can rewrite and compute the integral using the substitution, as
Answer:
20
Step-by-step explanation:
Our expression:
2 * (18 + - 8)
Plus then minus (+ -) is the same as just minus ( - )
Some examples:
1 + (+ 1) = 2
1 + (- 1) = 0
1 - (+ 1) = 0
1 - (- 1) = 2
Thus, 18 + - 8 is the same as 18 - 8
2 * (18 + - 8) =
= 2 * (18 - 8) =
= 2* (10) =
= 2 * 10 =
= 20
Answer: 20
1. So, since Manuel bought 9 pounds and ate 3/4 of 1 pound, he has 8.25 pounds left (9 - 0.75 = 8.25)
2. Let us call "x" the cost of 1 pound of apples
3. (8.25) * (x) = $15
4. x = $1.81818 rounded to the nearest dollar is $2 / pound
Answer: Length = 15 meters
Width = 2 meters
Step-by-step explanation:
Perimeter of a rectangle = 2l + 2w
Area of a rectangle = l × w
where l = length
w = width
Therefore,
2l + 2w = 34 ...... i
l × w = 30 ........ ii
From equation i
2l + 2w = 34
Divide through by 2.
l + w = 17 ...... iii
Then, l = 17 - w ........ iv
Put equation iv into ii
l × w = 30
(17 - w) × w = 30
17w - w² = 30
w² - 17w + 30 = 0
w² - 15w - 2w + 30 = 0
w(w - 15) - 2(w - 15) = 0
(w - 2) = 0
w = 0 + 2 = 2
w - 15 = 0
w = 0 + 15 = 15
Length = 15 meters
Width = 2 meters
Answer:
The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.
Step-by-step explanation:
I had this question not to long ago and got it right
