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
If you add them all up then the answer is 19!
Answer:
The signa notation to represent the first five ten f(x) is given by 
Step-by-step explanation:
Given sequence is -5, -9, 13...
Let f(x) be the given sequence and is denoted by
Let the first term be 
term be 
ie, 
To find the common difference d:
Therefore the common difference d is -4 for given sequence f(x) with 
and d=-4, the seqence f(x) is an arithmetic sequence
By defintion of arithmetic sequence
Now to find 
:
put n=4 in equation (1)
[since a=-5, d=-4]
in equation (1)
[since a=-5, d=-4]
Therefore and
Therefore 
Now to represent the sum of the first five terms of f(x) using sigma notation as below
where 
Answer:
Step-by-step explanation:
make a good drawing and notice the right triangle with legs 20 mi and 14 mi
the distance from home to the warehouse is the hypotenuse c of the right triangle thus we will use the Pythagorean Theorem:
c^2 = 20^2 + 14^2
c^2 = 596
c = 24.41 mi approximately is the distance from home to a warehouse
since 24.41 < 25 you will incur a delivery charge.
