Because there all different worth different numbers just like stuff in the store
The given function is
f(x) =
Comparing with
We get
a = 8, b = 2 & c = -5
Now if (h,k) is the vertex
then h =
Substituting the value of h in place of x in the function we get
k=
Now the vertex form of a quadratic equation is
f(x)= a(x-h)² + k
Substituting the values of a, h & k we get
f(x) = 8
The vertex form of f(x) = 8x² +2x-5 is
f(x) =
Answer
Answer:
The area of the triangle is 351cm^2.
Step-by-step explanation:
To find the area of a triangle, the formula is (1/2) x base x height. In this case, the height would be a line that cuts straight through the center of the triangle. However, this height is not given to us. We can still find it through Pythagoras' Theorem though.
Let A be the tip of the triangle, and B and C be the points on either side of the triangle. Assuming an imaginary line that cuts the triangle in a symmetrical half, let T be the point at the end of the line, directly below point A.
Using Pythagoras' Theorem,
AB^2 = AT^2 + TB^2
AT^2 = AB^2 - TB^2
AT^2 = 30^2 - (26/2)^2
AT^2 = 30^2 - 13^2
AT =
AT = 27.0370116692
So the length of AT is our height. We can now find the area of the triangle.
Area of triangle = (1/2) x 26cm x AT
Area of triangle = 351.4811516996
Area of triangle = 351cm^2 (To 3s.f.)