What is the general formula of a quadratic equation
2 answers:
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Question 1:
This is a 45-45-90 right triangle. If the leg length is
, then the hypotenuse length will be 
.
The leg length of this 45-45-90 right triangle is 8. Multiply that with the square root of 2. You get
. Thus, the last choice is your answer.
Question 2:
This triangle can be identified as a 30-60-90 right triangle.
Let's say the smallest leg as a length of.
Then, the longer leg will have a length of
.
Also, the hypotenuse will have a length of
This triangle follows this format, making it a 30-60-90 right triangle. Thus, the angles are 30, 60, and 90.
Hope this helps! :)
This is a 45-45-90 right triangle. If the leg length is
The leg length of this 45-45-90 right triangle is 8. Multiply that with the square root of 2. You get
Question 2:
This triangle can be identified as a 30-60-90 right triangle.
Let's say the smallest leg as a length of
Then, the longer leg will have a length of
Also, the hypotenuse will have a length of
This triangle follows this format, making it a 30-60-90 right triangle. Thus, the angles are 30, 60, and 90.
Hope this helps! :)
We're given
which immediately tells us that
In other words, swapping the limits of the integral negates its value.
Also,
The integral we want to compute is
which we can do by splitting up the integral at x = 4 and using the known values above. Then the integral we want is