Answer:
350%
Step-by-step explanation:
540 - 120 = 420
420/120 = 3.5
3.5 × 100 = 350%
Answer:
The length of side BC is 2.8 units
Step-by-step explanation:
* Lets revise how to find the distance between two points
- If there are two points their coordinates are (x1 , y1) and (x2 , y2),
then we can find the distance between them by this rule:
d = √[(x2 - x1)² + (y2 - y1)²]
- Now lets solve the problem
∵ B = (3 , 3)
∵ C = (5 , 1)
- To find the length of BC use the rule of the distance above
- Let point B is (x1 , y1) and point C is (x2 , y2)
∵ x1 = 3 and x2 = 5
∵ y1 = 3 and y2 = 1
∴ BC = √[(5 - 3)² + (1 - 3)²]
∴ BC = √[(2)² + (-2)²]
∴ BC = √[4 + 4] = √8 = 2.8 units
* The length of side BC is 2.8 units
<span>Ans : f(x)=xe^(-x^2/8)
differentiating by applying product rule,
f'(x)=x(e^(-x^2/8))((-2x)/8)+e^(-x^2/8)
f'(x)=e^(-x^2/8)(-x^2/4+1)
f'(x)=-1/4e^(-x^2/8)(x^2-4)
Now to find the absolute extrema of the function , that is continuous on a closed interval, we have to find the critical numbers that are in the interval and evaluate the function at the endpoints and at the critical numbers.
Now to find the critical numbers, solve for x for f'(x)=0.
-1/4e^(-x^2/8)(x^2-4)=0
x^2-4=0 , x=+-2
e^(-x^2/8)=0 ,</span>
