Sec^2 x - 1 = tan^2x
Proof:
Sec^2x = 1+ tan^2x
1/cos^2x = 1 + sin^2x/cos^2x
<span>1/cos^2x - sin^2x/cos^2x = 1
</span>Using common denominator:
(1-sin^2x)/cos^2x = 1
sin^2x + cos^2 x = 1
cos^2 x = 1 - sin^2x
Substituting :
cos^2x/<span>cos^2x = 1
</span>1 = 1
Left hand side = right hand side
According to the rate of change, it is found that the hourly rate of temperature change at the bottom of the mountain was of -2.5 ºC per hour.
<h3>What is the average rate of change?</h3>
The average rate of change of a function is given by the <u>change in the output divided by the change in the input.</u>
In this problem, it is stated that at the top of the mountain, the average rate of change is of -2.5 ºC per hour, and at the bottom of the mountain the rate is the same, hence the hourly rate of temperature change at the bottom of the mountain was of -2.5 ºC per hour.
You can learn more about average rate of change at brainly.com/question/26420851
Answer:12
Step-by-step explanation:
Answer:
49
Step-by-step explanation:
Given the monomial y²-14y, in order to make the binomial a perfect square, we need to add a constant to the function using completing the square method.
To get the constant, we will multiply the coefficient of y by 1/2 and then square the resulting value.
- The coefficient of y is -14.
multiplying the coefficient of y by 1/2 will give -14/2 = -7
- squaring -7 will result in (-7)²
= 49
The constant that will be added to the binomial to make it a perfect square trinomial is 49
Answer:
57
Step-by-step explanation:
10% of 570 = 57 (dividing by 10). Times that by 3, which is 171. Now divide 171 by 3, equals 57 (the answer).
