We will use the formula for the slope:
m = ( y2- y1 ) / ( x2 - x1 )
For PQ : m = ( 0 - 0 ) / ( a + c - 0 ) = 0
For RS : m = ( b - b ) / ( a - ( 2a + c )) = 0
Both slopes are m = 0, so PQ and RS are parallel to x - axis and at the same time parallel to each other ( PQ | | RS ). One pair of opposite sides is parallel.
Answer:
11 each
Step-by-step explanation:
360/2.75=130.9
rounding up, 131x2.75=360.25
131/12=10.9 boxes each
therefore each girl will have to sell 11 boxes
Answer:
-(23/6)π
-(19/6)π
-3π
Step-by-step explanation:
cos2t=cos^2t-sin^2t => cos^2t=1-sin^2t =>cos2t=1-2sin^2t
sint=1-2sin^2t, if x=sint, thenn we have 2x^2+x-1=0
Here x=0.5, x=-1, as x=sint => sint = -1 solutions for -4π to -2π is t=-3π,
sint = 0.5 solutions for -4π to -2π is t= -(23/6)*π, and t = -(19/6)*π
Not quite sure what you mean by brackets, but you can get the solution to this equation in a few steps:
<span>(-2x - 1)</span>² <span>= 0 ... square root both sides to eliminate the squared binomial
</span>√(-2x - 1)² = √0 ... simplify; the square is canceled out and the root of 0 brings you back to 0
-2x - 1 = 0 ... solve like a two-step equation
-2x = 1
x = -1/2 is your x-value.