Tai cuts 4 meters 8 cm wire into 10 equal piece . martha cut a 540 cm wire into 9 equal pieces . how much longer is one of marta
2 answers:
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The example of a right angle is that it's exactly 90°, the acute angle is less than 90°, and the obtuse angle is more than 90° but less than 180°.
Option a: The number of bacteria at time x is 0.
Option b: An exponential function that represents the population is
Option c: The population after 10 minutes is 11534(app)
Explanation:
It is given that the coordinates of the graph are (0,200), (1,300) and (2, 450)
Option a: To determine the number of bacteria x when y = 200
From the graph, we can see that the line meets y = 200 when x = 0
Thus, the coordinates are (0,200)
Hence, the number of bacteria at time x is 0 when y = 200.
Option b: Now, we shall determine the exponential function of the population.
The general formula for exponential function is
Where a is the starting point and
b is the common difference.
To determine the common difference, let us divide,
Also,
Hence, the common difference is
Thus, substituting the values and
in the formula
,
we have,
Hence, An exponential function that represents the population is
Option c: To determine the population after 10 minutes, let us substitute in
, since the x represents the population of the bacteria in minutes.
Thus, we have,
Hence, the population after 10 minutes is 11534(app)
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- tan²x + sec²x = 1 or 1 + tan²x = sec²x
sin²x + cos²x = 1
Divide the whole by cos²x
so 
and
so 
Therefore,
tan²x + 1 = sec²x
Take tan²x to the other side {You will have the same answer}
1 = - tan²x = sec²x or sec²x - tanx = 1
- tan²x + sec²x = 1 or 1 + tan²x = sec²x
sin²x + cos²x = 1
Divide the whole by cos²x
and
Therefore,
tan²x + 1 = sec²x
Take tan²x to the other side {You will have the same answer}
1 = - tan²x = sec²x or sec²x - tanx = 1