Here is a picture of each.
Here are the definitions of each:
1. Equilateral- this triangle has side lengths that are all the same (congruent).
2. Isosceles-this triangle has exactly 2 sides that are the same length(congruent).
3. Scalene- this triangle has no sides that are the same length.
<span>The invoice is enclosed with the goodsand arrives at the same time that they do</span>
23 hundredths = 0.23
9.041 + 0.23 = 9.271
Answer:
it would be same only as there are all sides same
Answer: the maximum distance is 
and can be found at x = 
Let's call:
f(x) = x + 72
g(x) = x²
A point belonging to the line will be L(x, x+72) and a point on the parabola will be P(x, x²). It can be easily seen that in the interval -8 ≤ x ≤ 9 the line is above the parabola (it's enough to graph them or plug in some numbers), therefore their distance at any point will be:
d(x) = f(x) - g(x) = - x² + x + 72
The function d(x) is a parabola that opens downward, therefore the maximum will be the vertex; given a parabola
y(x) = ax² + bx + c
the coordinates of the vertex will be
Therefore:
Hence, the maximum distance is = 72.25 and can be found at x =
Another way to find the maximum is to use calculus to find the first derivative of the distance:
d'(x) = -2x + 1
and set it equal to zero:
-2x + 1 = 0
Since the second derivative:
d"(x) = -2
is negative, the point is a maximum.
Then, substitute this value in the equation for the distance:
<span>Hence, the maximum distance is </span> = 72.25 and can be found at x =
