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 
Xy 14
x + y = -4
x + y = -4
x - x + y = -x - 4
y = -x - 4
xy = 14
x(-x - 4) = 14
x(-x) - x(4) = 14
-x² - 4x = 14
-x² - 4x - 14 = 0
-1(x²) - 1(4x) - 1(14) = 0
-1(x² + 4x + 14) = 0
-1 -1
x² + 4x + 14 = 0
x = -(4) ± √((4)² - 4(1)(14))
2(1)
x = -4 ± √(16 - 56)
2
x = -4 ± √(-40)
2
x = -4 ± 2i√(10)
2
x = -2 ± i√(10)
x + y = -4
-2 ± i√(10) + y = -4
- (-2 ± i√(10)) - (-2 ± i√(10))
y = -2 ± i√(10)
(x, y) = (-2 ± √(10), -2 ± √(10))
The two numbers that multiply to 14 and add up to -4 are -2 ± i√(10).
<span>The population of a bacteria culture doubles every 2 minutes. Approximately how many minutes will it take for the population to grow from 1,000 to 500,000 bacteria
</span>
Is not quite that.
min 0 - 1,000
min 2 - 2,000=1,000*2^1
<span>min 4 - 4000=1000*2^2; </span>
min 6 - 8000=1000*2^3
Be careful! It doubles every 2 minutes.
So, 1,000*2^x=500,000
2^x=500. It asks you to approx. You know that 2^9=512, so x=9.
<span>Because the pop doubles every 2 minutes, the result=9*2=18 minutes.
</span>hope it's perfect!
P ( work/ senior ) = 0.14
The attached table
required
P ( work/ senior )
This is calculated using:
P ( work/ senior ) = n ( work/ senior )/ n ( senior ).
n ( work/ senior ) = 5
n ( senior ) = 25 + 5 + = 35
So:
P ( work/ senior ) = 5/35
P ( work/ senior ) = 0.14
Add 25+5+5 (because that is all the numbers in the 'Seniors' row) and then take the 5 that is in the 'Work' column and put that over 25. (5/25 fraction as a percent is 14).
Learn more about probability at
brainly.com/question/24756209
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