Answer:
After 5 hours, the amount of bacteria increased: 7800-6000=1800
After 1 hours, the amount of bacteria increased: 1800/5=360
After 18 hours, the amount of bacteria increased: 360*18 = 6480
=> Total amount of bacteria after 13 hours: 6000+6480 =12480
Pythagorean theorem is a^2 + b^2 = c^2
2. You are trying to find x which is c^2
so plug in the other numbers to the other letters. 9^2 + 17^2 = c^2
9^2= 81. 17^2= 289
81 + 289 = 370
370= c^2
Now all you have to do is square root the number
*square root sign* 370
19.24
c = 19.24
So, x = 19.24
Answer:
Option D.
Step-by-step explanation:
Consider option D. 
Take point (0,0)
On putting this point in inequation
, we get
which is true . So, solution is region towards the origin i,e region below the line
including the line itself .
On putting (0,0) in inequation
, we get
which is false , so solution is region away from the origin i.e region below line
including the line itself .
So, common solution to both the inequations is the shaded part in the given figure .
In other words, we can say that the graph shown in the given figure represents system of equations: 
Answer:
<h2>Angle ADF is equal to 52° and angle FDC is equal to 38°.</h2>
Step-by-step explanation:
In the image attaches, you can observe that angles ADF and FDC are complementary angles, because they sum 90°.

And we know that

Replacing these expressions, we have

Then, we replace this value in each expression to find both angles measures.

Therefore, angle ADF is equal to 52° and angle FDC is equal to 38°.