What is the equation of the line through (3,-1), (4,7)
1 answer:
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First, you should solve for 
, which equals 
. Now, solve the integral of =, to get that
. You can check this by taking the integral of what you got. Now by the Fundamental Theorem![\int\limits^2_0 {4x} \, dx=[2x^2] ^{2}_{0}=2(2)^{2}-2(0)^2=8](https://tex.z-dn.net/?f=%20%5Cint%5Climits%5E2_0%20%7B4x%7D%20%5C%2C%20dx%3D%5B2x%5E2%5D%20%5E%7B2%7D_%7B0%7D%3D2%282%29%5E%7B2%7D-2%280%29%5E2%3D8)
.
This should be the answer to your question, if I understood what you were asking correctly.
This should be the answer to your question, if I understood what you were asking correctly.
Answer: The correct option is A, i.e., 7.5.
Explanation:
It is given that ABC is a triangle and BD is an altitude.
Since BD is an altitude, therefore the height of the triangle is BD and the base of the triangle is AC.
The distance formula to find the distance between two points is,
First, we find BD, where B(-1,4) and D(2,4).
So, the height of the triangle is 3.
Now, we find the value of AC, where A(2,1) and C(2,6).
So, the base of the triangle is 5.
The formula to find the area of a triangle is,
Therefore, the area of the triangle is 7.5 unit square and the correct option is A.
