Answer: AB will be parallel to A'B'.
Step-by-step explanation: We know the definition of dilation about the centre. It is defined as the enlargement or shrinken of the original figure keeping the centre of dilation or the figure as fixed.
We are given ΔUVW and AB is perpendicular to UW. Now, if we dilate the triangle about the origin, then the triangle will either enlarge or shrink keeping the centre fixed.
Let us consider the enlarged triangle, ΔU'V'W' as shown in the attached figure. Also, line AB will move to the new position A'B'. We can clearly see that both the lines are parallel to each other.
Thus, the line segments AB and A'B' will be parallel too each other.
Answer:
Step-by-step explanation:
Using the distributive property to expand, we have
Squaring each term, we have
The mistake was that 
not 
Using the fact that the right answer would be
.
Answer:
price = $190
quantity = 950 tickets
Step-by-step explanation:
revenue = price * quantity
n = number of $10 price reductions
price = 300 - 10n
quantity = 400 + 50n
r = (300 - 10n)(400 + 50n)
recognize these as the factors of a quadratic that opens down
the vertex will therefor be the maximum revenue
the roots are:
300 - 10n = 0
300 = 10n
n = 30
400 + 50n = 0
50n = -400
n = -8
vertex is at mid point of the roots
n = (-8 + 30)/2
n = 11
price = 300 - 10n
price = 300 - 10(11)
price = 190
quantity = 400 + 50n
quantity = 400 + 50(11)
quantity = 950
Foil is just like distributive meathod rememebering meathood
so foil is
First
Outer
Inner
Last
so if you had
(a+b)(c+d)
you would do
First
a times c
Outer
a times d
Inner
b times c
Last
b times d so
we have
(b-3)(b+9)
FIRST
b times b=b^2
Outer
b times 9=9b
Inner
-3 times b=-3b
Last=-3 times 9=-27
add
b^2+9b-3b-27
add like terms
b^2+6b-27
answer is A
