Answer:
5+(-5)=0
-2+2=0
Step-by-step explanation:
Answer:
see below
Step-by-step explanation:
by rewriting the function we can see that it has a minimum at
![y=7x^2+7x-7\Rightarrow y=7(x^2+x-1)\Rightarrow y=7[(x+\frac{1}{2})^2-\frac{1}{4}-1]\Rightarrow](https://tex.z-dn.net/?f=y%3D7x%5E2%2B7x-7%5CRightarrow%20y%3D7%28x%5E2%2Bx-1%29%5CRightarrow%20y%3D7%5B%28x%2B%5Cfrac%7B1%7D%7B2%7D%29%5E2-%5Cfrac%7B1%7D%7B4%7D-1%5D%5CRightarrow)
![y=7[(x+\frac{1}{2})^2-\frac{5}{4}]\Rightarrow minimum \ (-\frac{1}{2}, -\frac{35}{4})](https://tex.z-dn.net/?f=y%3D7%5B%28x%2B%5Cfrac%7B1%7D%7B2%7D%29%5E2-%5Cfrac%7B5%7D%7B4%7D%5D%5CRightarrow%20minimum%20%5C%20%28-%5Cfrac%7B1%7D%7B2%7D%2C%20-%5Cfrac%7B35%7D%7B4%7D%29)
bye.
Assuming that this field is rectangular with 2 semi-circles (one on both ends of the field), we must first calculate the total area of the field. this is done by adding the area of the rectangular portion and the circular portion. This is done below:
Given:
Rectangular length = 95 yards
Rectangular width = semi-circle diameter = 49 yards
Area of rectangle = length * width = 95 * 49
Area of rectangle = 4655 yd^2
The area of the 2 semi-circles can be obtained by treating both as one circle.
Area of circle = pi * (d/2)^2 = 3.1416 * (49/2)^2
Area of circle = 1885.74 yd^2
Total area = 1885.74 + 4655 = 6540.74
We multiply the area by the cost of fertilizing:
Total cost = cost per sq. yd * total area
Total cost = 0.08 * 6540.74
Total cost = $523.26
Answer:
Angle ABC = 90°
Step-by-step explanation:
Angle AOC= 180°
so Angle ABC = 0.5 x AOC
or another way to explain is
Rule 1: Angles in semi circle are always 90°
