The second option ! 2.54 - 2.3 = 0.24
L(1, -4)=(xL, yL)→xL=1, yL=-4
M(3, -2)=(xM, yM)→xM=3, yM=-2
Slope of side LM: m LM = (yM-yL) / (xM-xL)
m LM = ( -2 - (-4) ) / (3-1)
m LM = ( -2+4) / (2)
m LM = (2) / (2)
m LM = 1
The quadrilateral is the rectangle KLMN
The oposite sides are: LM with NK, and KL with NK
In a rectangle the opposite sides are parallel, and parallel lines have the same slope, then:
Slope of side LM = m LM = 1 = m NK = Slope of side NK
Slope of side NK = m NK = 1
Slope of side KL = m KL = m MN = Slope of side MN
The sides KL and LM (consecutive sides) are perpendicular (form an angle of 90°), then the product of their slopes is equal to -1:
(m KL) (m LM) = -1
Replacing m LM = 1
(m KL) (1) = -1
m KL = -1 = m MN
Answer:
Slope of side LM =1
Slope of side NK =1
Slope of side KL = -1
Slope of side MN = -1
When x=0 y=50 when y=0 x=+\-5. -x^2 makes the parabola open downward y(x)=2x^2+50;y(3)=2*9+50=32
Ya got to go $660 + 7% hours later on $450 hours later 00.578 to finish
Answer : b. $65.10
1 appetizer: $7.39=7.39
2 entrees: $16.99 each= 2 * 16.99=33.98
1 dessert: $5.29= 5.29
2 drinks: $2.30 each=4.6
cost = 7.39 + 33.98 + 5.29 + 4.6 =$51.26
7% tax = 51.26 * 0.07 = 3.5882
20% gratuity = 51.26 * 0.2= 10.252
Total cost = 51.26 + 3.5882 + 10.252 =65.1002
the total amount = $65.1