Answer:
Step-by-step explanation:
hello :
cot x + 2cot x sin x = 0 0≤ x≤ 180
cotx(1+2sinx) =0 means : cotx=0 or 1+2sinx=0
1) cotx=0 so : cosx=0 and sinx ≠ 0 because cotx = cosx/sinx
when : 0≤ x≤ 180 : x=90°
2) 1+2sinx=0 means : sinx = -1/2
when : 0≤ x≤ 180 : no solutions because : sinx ≥ 0
conclusion : one solution : x=90°
Hi student, let me help you out! :)
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We are asked to simplify the expression 
.
That's exactly what we need to do - combine like terms.
So, we subtract:
Which gives us:
Hope it helps you out! :D
Ask in comments if any queries arise.
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The perimeter of a rectangle is given by the following formula: P = 2W + 2L
To solve this formula for W, the goal is to isolate this variable to one side of the equation such that the width of the rectangle (W) can be solved when given its perimeter (P) and length (L).
P = 2W + 2L
subtract 2L from both sides of the equation
P - 2L = 2W + 2L - 2L
P - 2L = 2W
divide both sides of the equation by 2
(P - 2L)/2 = (2W)/2
(P - 2L)/2 = (2/2)W
(P - 2L)/2 = (1)W
(P - 2L)/2 = W
Thus, given that the perimeter (P) of a rectangle is defined by P = 2W + 2L ,
then its width (W) is given by <span>W = (P - 2L)/2</span>
Answer:
y = -6/5x + 3
Step-by-step explanation:
y2 - y1 / x2 - x1
-3 - 3/ 5 - 0
= -6/5
To find the y-intercept, you need to plug the coordinates into the equation,
y = -6/5x + b
3 = -6/5(0) + b
3 = 0 + b
b = 3
The equation is y = -6/5x + 3
Answer:
12 hours
Step-by-step explanation:
If we assume that the units of D are kg, then we can put the given number into the equation and solve.
21 = h +9
12 = h . . . . . subtract 9
Eli worked 12 hours to prepare 21 kg of dough.
