You need to solve the following equation:
-0.5x^2 +36x -161 = 451
Set right side to 0
-0.5x^2 +36x -612 = 0
Multiply by -2 to get rid of decimal and leading neg coefficient.
x^2 -72x + 1224 = 0
Use quadratic formula:
a = 1, b = -72, c = 1224
Therefore the min price to have 451 profit is $27.51
When reflecting across the Y axis, the Y values remain the same.
Now if you were reflecting across Y = 0, the x values would just be inverse ( opposite signs).
So this triangle if reflected across Y = 0 the new vertices would be (4,4) (2,3) and (5,2)
Now since the reflection line is y = -1, which is a one unit shift to the left of y = 0, subtract 1 unit from each X value.
The locations are now: A'(3,4), B'(1,3) and C'(4,2)
Quadratic trinomial is the answer because the exponent is 2
Answer:
D. 
Step-by-step explanation:
We have been given an image of a scalene triangle. We are asked to find the equation that can be used to find the value of “b".
We know that perimeter of a triangle is sum of three side lengths of the triangle.
Upon adding the measure of side lengths for our given triangle, we will get:
Combining like terms we will get,
Substituting the value of perimeter and 'a' in above equation we will get:
Upon looking at our given choices, we can see that option D is the correct choice.
