33 rounds to 30 and 89 rounds to 80. 80 x 30= 2400
Answer:
A) The coordinates of the fourth vertex are:
1) x-coordinate:
2) y-coordinate:
B) The point of intersection of the diagonals is: 
Step-by-step explanation:
We need to remember that the diagonals of a parallelogram intersect each other at a half-way point and the midpoint of each diagonal is the same.
The midpoint formula is:
Since:
We can find the coordinates of the fourth vertex 
through these procedure:
1) x-coordinate:
2) y-coordinate:
Therefore, fourth vertex is 
Since the point of intersection of the diagonals is the midpoint of a diagonal (Remember that ), this is:
Therefore, the point of intersection of the diagonals is
Multiplication gives
us distribution over the products, so
(a′+b+d′) (a′+b+c′+f′)
= a′ (a′+b+c′+f′) + b (a′+b+c′+f′) + d′ (a′+b+c′+f′)
And then you can
then distribute again each of the factors on the right.
Then you should simplify
in any given number of ways. To take as an example, you have a′b and ba′,
and since a′b + a′b = a′b + a′b = a′b, you can just drop one of them.
Since bb = b, you can rewrite bb as b and etc.
So in the end
part we should arrive at a sum of products. Then you can just invert. For
example, if at the end you had:
p′ = a′b + bc′ +
d′f ′+ a′f′
Then we would
have
p = p′′ = (a′b +
bc′ + d′f′ + a′f′)′ = (a′b)′⋅(bc′)′⋅(d′f′)′⋅(a′f′)′
Then applying De
Morgan's laws to each of the factors, e.g., (a′b)′ = a+b′, so we would
have
p = (a+b′)⋅(b′+c)⋅(d+f)⋅(a+f)
which is a
product of sums.
Answer:
(- 8, - 17 )
Step-by-step explanation:
Given the 2 equations
y = 3x + 7 → (1)
y = x - 9 → (2)
Substitute y = 3x + 7 into (2)
3x + 7 = x - 9 ( subtract x from both sides )
2x + 7 = - 9 ( subtract 7 from both sides )
2x = - 16 ( divide both sides by 2 )
x = - 8
Substitute x = - 8 into either of the 2 equations for corresponding value of y
Substituting into (2)
y = - 8 - 9 = - 17
Solution is (- 8, - 17 )
