Cotangent = adjacent / opposite = x / y = 6/8 = 3/4
Answer 3/4
The average rate of change of a continuous function <em>f(x)</em> in an interval (<em>a</em>, <em>b</em>) is
(<em>f(b) </em>- <em>f(a)</em>) / (<em>b</em> - <em>a</em>)
So for
<em>f(x)</em> = 3<em>x</em> ² + 2<em>x</em> + 5
on the interval (0, 2), we have
• <em>f</em> (2) = 3 • 2² + 2 • 2 + 5 = 21
• <em>f</em> (0) = = 3 • 0² + 2 • 0 + 5 = 5
so that the average rate of change is
(<em>f</em> (2) - <em>f</em> (0)) / (2 - 0) = (21 - 5) / 2 = 16 / 2 = 8
and the answer is B.
The equation of the line perpendicular to the graph of 4x-2y=9 that passes through the point at ( 2, 6 ) is y=4x+2.
Hi there!
The answer would be B.
Every minute the ant it traveling, the ant has covered 2 units of distance (units is not given). This is known as the rate of change, or the slope.
Hope this helps!
Write the system of equation based on the problem
"A total of 345 tickets that consists of adult tickets and students ticket were sold" could be written as:
∴ a + s = 345 <em>(first equation)</em>
"<span>the number of student tickets sold was two times the number of adult tickets sold" could be written as:
</span>∴ s = 2a <em>(second equation)</em>
<span>
Solve the system of equation
Substitute 2a as s in the first equation
a + s = 345
a + (2a) = 345
3a = 345
a = 345/3
a = 115
There are 115 adult tickets sold.</span>