Step-by-step explanation:
2sin(x)cos(x) - sin(x) + 2cos(x)-1= 0
<=> sinx( 2cosx -1) + ( 2cosx -1) =0
<=> (sinx +1) + ( 2cosx-1)=0
<=> sinx=-1 or cosx= 1/2
+) sinx=1 => x= pi/2 + k×2pi
+)cosx=1/2 => x= pi/3+ k×2pi or x=-pi/3 + k×2pi
x€ [0,2pi] => x= pi/2, pi/3.
ANSWER
The standard form is:
EXPLANATION
The given line passes through (4,10)and (6,11).
The slope of this line is
The equation is given by the formula,
We plug in the first point and the slope to get.
The standard form is
The answer is yes.
A line and a point outside the line define a unique plane. In other words, there is a single plane that contains a line and a point outside the line. If you are given line XY and point C outside the line, there is a single plane containing both line XY and point C. Therefore, line XY and point C must lie in the same plane.
Answer:
Joe's father is 45.
Step-by-step explanation:
3x-x+2=4
Answer: 3y⁴(y² + 5)(y - 1)(y + 1)
<u>Step-by-step explanation:</u>
3y⁸ + 12y⁶ - 15y⁴
= 3y⁴(y⁴ + 4y² - 5)
= 3y⁴(y² + 5)(y² - 1)
= 3y⁴(y² + 5)(y - 1)(y + 1)
