Your answer is D. SSA Postulate because it doesn't exist!
So, let's say the soft drink equals y and the sandwich equals x.
x + y = 9.9
The sandwich costs 3.5 times as much as the soft drink
x = 3.5y
Therefore, we can replace x with 3.5y since they're the same thing
3.5y + y = 9.9 <-- That's the equation :)
Answer:
Step-by-step explanation:
Answer:
Time in which both companies charge same cost = 1.5 hour
Step-by-step explanation:
Given:
Fixed Variable
Premier Landscaping charges $15 $55
Ace Landscaping charges $65
Find:
Time in which both companies charge same cost:
Computation:
Assume in X time both companies charge same cost:
So,
Premier Landscaping total cost = Ace Landscaping total cost
⇒ $15 + $55(Time taken) = $65 (Time taken)
⇒ $15 = $65 (Time taken) - $55(Time taken)
⇒ $15 = $10 (Time taken)
⇒ Time taken = 1.5 hour
Time in which both companies charge same cost = 1.5 hour
The cross product of the normal vectors of two planes result in a vector parallel to the line of intersection of the two planes.
Corresponding normal vectors of the planes are
<5,-1,-6> and <1,1,1>
We calculate the cross product as a determinant of (i,j,k) and the normal products
i j k
5 -1 -6
1 1 1
=(-1*1-(-6)*1)i -(5*1-(-6)1)j+(5*1-(-1*1))k
=5i-11j+6k
=<5,-11,6>
Check orthogonality with normal vectors using scalar products
(should equal zero if orthogonal)
<5,-11,6>.<5,-1,-6>=25+11-36=0
<5,-11,6>.<1,1,1>=5-11+6=0
Therefore <5,-11,6> is a vector parallel to the line of intersection of the two given planes.
