Answer:
x = 4, y = 9
Step-by-step explanation:
The angles in a square are right, that is 90°
The diagonals bisect the angles , then
6x + 21 = 45 ( subtract 21 from both sides )
6x = 24 ( divide both sides by 6 )
x = 4
------------------------------------------------
The sides of a square are congruent , then
10y - 29 = 5y + 16 ( subtract 5y from both sides )
5y - 29 = 16 ( add 29 to both sides )
5y = 45 ( divide both sides by 5 )
y = 9
Time is C. 50 seconds
Step-by-step explanation:
The population of bacteria at time t here is given by

where
b is the number of bacteria
t is the time in seconds
Here we want to find the approximate time at which the number of bacteria is
b = 625
Substituting into the equation and solving for t, we find:

Therefore, the solution is
C. 50 seconds
Learn more about population growth:
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Answer:
Step-by-step explanation:
The 1:3 ratio means that the distance from A to the point is 1/4 of the distance from A to B.
The difference of y-coordinates is 10-8 = 2. 1/4 of that is 2·1/4 = 1/2, so the point of interest will have y-coordinate 8 + 1/2 = 8 1/2. This apparently corresponds to the first selection:
... (6 1/2, 8 1/2)
Answer:
19
Step-by-step explanation:
2d + 3
d = 8
2(8) + 3
multiply 2 and 8
16 + 3
add 16 and 3
= 19