Answer:
Step-by-step explanation:
cos x=sin 2x
sin 2x-cos x=0
2 sin x cos x-cos x=0
cos x(2 sin x-1)=0
either cos x=0

or
2 sin x-1=0

If Stuart starts with -$54.19 then gains $70.82, you have to add the gained amount to the origin amount. Since the origin amount is negative, you can also subtract the origin amount from the gained amount to find the amount left at the end of the month.
Add 70.82 to -54.19
-54.19 + 70.82 = 16.63
<u>Alternative method:</u>
First, subtract 54.19 from 70.82.
70.82 - 54.19 = 16.63
Add 54.19 to -54.19, bringing you to 0.
-54.19 + 54.19 = 0
Now add the remaining 16.63.
0 + 16.63 = 16.63
<h2>Answer:</h2>
<u>Stuart will have </u><u>$16.63</u><u> at the end of this month.</u>
If there are 12 items adding up to 60%, we want to know how many items more it will take to equal 100% So set up this equation 12/x = .6 then solve for x. x=12/.6 x = 20 now that we know the total you can subtract 12 from 20 and get 8, that is the number of items left on the list.
Answer:
The perimeter of rectangle is 
Step-by-step explanation:
Let
x-----> the length of the rectangle
y----> the width of the rectangle
we know that
----> equation A
---> equation B (area of the constructed figure)
substitute the equation A in equation B


using a graphing calculator -----> solve the quadratic equation
The solution is

Find the value of x

Find the perimeter of rectangle

Answer:
Step-by-step explanation:
(4+1)/(8-2)= 5/6
y + 1 = 5/6(x - 2)
y + 1 = 5/6x - 5/3
y + 3/3 = 5/6x - 5/3
y = 5/6x - 8/3
6(y = 5/6x - 8/3)
6y = 5x - 16
-5x + 6y = -16