Answer:
Simplifying
lx2 + mx + n = 0
Solving
lx2 + mx + n = 0
Solving for variable 'l'.
Move all terms containing l to the left, all other terms to the right.
Add '-1mx' to each side of the equation.
lx2 + mx + -1mx + n = 0 + -1mx
Combine like terms: mx + -1mx = 0
lx2 + 0 + n = 0 + -1mx
lx2 + n = 0 + -1mx
Remove the zero:
lx2 + n = -1mx
Add '-1n' to each side of the equation.
lx2 + n + -1n = -1mx + -1n
Combine like terms: n + -1n = 0
lx2 + 0 = -1mx + -1n
lx2 = -1mx + -1n
Divide each side by 'x2'.
l = -1mx-1 + -1nx-2
Simplifying
l = -1mx-1 + -1nx-2
Step-by-step explanation:
Hope this helped you!
Answer:
See attached picture to view the graph
Step-by-step explanation:
Start by analyzing how this average idea works:
If only one member goes to the trip, it will cost him/her $1000+$200 = $1200.
If two members go to the trip, then they will share the cost as per the following: ($1000+ $200 + $200 = $1400) which they will be dividing into two people, thus costing each of them $700.
Notice that the general function that represents such average will be given by: 
Plot such function in the two dimensional plane, and you will get the asymptotic behavior shown in the attached image.
Answer:
80°
Step-by-step explanation:
The sum of the angles of any triangle must add up to 180°. If you form a triangle with an angle of 40° and another angle of 60°, the sum of those two angles is 40 + 60 = 100, so the measure of the third angle: 180 - 100 = 80°.
Answer:
Step-by-step explanation:
Given: The triangle with coordinate A(4,6), B(2,-2) and C(-2,-4). D is the mid point of AB and E is the mid point of AC.
To prove: DE is parallel to BC.
Construction: Join DE.
Proof: If we prove the basic proportionality theorem that is
, then it proves that DE is parallel to BC.
Now, Mid Point D has coordinates=
and Mid Point E has coordinates=
Now, AD= 
DB=
AE=
EC=
Now, 
=
Hence, 
Thus, By basic proportionality theorem, DE is parallel to BC.