Answer:
D. 12 units
Step-by-step explanation:
The distance between two points is found by
d = sqrt( (x2-x1)^2 + (y2-y1)^2)
sqrt( (4 -4)^2 + (-5-7)^2)
sqrt((0^2 + (-12)^2)
sqrt(0+144)
sqrt(144)
12
You can factor this by grouping! We will need to group the trinomial into the expression (k^2 + k)(-2f^2 + f). Now factor from THOSE. k(k + 1)f(-2f + 1).
Answer:
$90,200
Step-by-step explanation:
Airlines usually try to sell their all seats before they fly the airplane. They do wish to sell maximum available seats in order to maximize their revenue. If the airplane takes off with less occupancy then there is opportunity cost for the airline companies. There are 200 seats available to the current flight and they wishes to sell it completely. If they sell all the 200 seats at the price of $451 per seat then their total revenue will be $90,200.
So in this case, we have to replace the known value.
y=3
y=-2x+3
3=-2x+3
Then we leave our unknown value alone.

= x
In this case, our x value would be 0.
We check it...
3=-2(0)+3
3=0+3
3=3
So y=3 x=0
For the second one we have...
y=3x+2
y=-3x-4
For this we substitute the y in any of the equation...
3x+2=-3x-4
We move the unknown values to one side and the ones without unlown values to the other side...
3x+3x=-4-2
Then we solve
6x=-6
Then we leave the unknown value alone.
x=

Then solve for x.
x= -1
Then for our y value we return to one of the original equations and substitute the x value.
y=3x+2
y=3(-1)+2
y=-3+2
y=-1
y=-3x-4
y=-3(-1)-4
y=3-4
y=-1
So in this case we got that x= -1 and y= -1
Hi there! Hopefully this helps!
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Answer: 14.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
First we calculate <u>3 to the power of 2</u> and get 9.
|
\/
9 + 9 -
= 14.
Now we add<u> 9 + 9</u> to get 18.
18 -
= 14.
Then, we<u> divide 8 by 2</u> to get 4.
18 - 4 = 14.
Then we subtract<u> 4 from 18</u> to get.....You guessed it,<u> 14</u>!