Hey there :)
We can find the common difference here as it is an arithmetic sequence.
The common difference between each term is:
We can find the unknown term by:
{easier way in this example}
OR
by the formula for finding the nth term
a₆ =
{a₆ because it is the 6th term to be found, (6-1) the nth term minus 1}
a₆ =
However this way is not essential here as the previous term is given.
subtract the midpoint numbers from endpoint b
x coordinate: 3- -1 = 4
y coordinate: -5 -2 =-7
now subtract the x number from the midpoint and add the y number to the midpoint
-1 -4 = -5
2- - 7 =9
missing endpoint is (-5,9)
Answer:
15.6 ft
Step-by-step explanation:
Since the sails are similar then the ratios of corresponding sides are equal.
Comparing the shortest sides, that is
10 : 6 = 5 : 3
let the longest side be x, then using proportion
= ( cross- multiply )
5x = 78 ( divide both sides by 5 )
x = 15.6
The longest side is 15.6 ft
Given:$75
25 hours
Painting USA : Fixed cost: $75 ; Variable Cost: $25x
Total Cost = 75 + 25(25) = 75 + 625 = 700
Upscale Home Painting: No Fixed Cost ; Variable Cost : $40x
Total Cost = 40(25) = 1,000
The most cost effective company will be Painting USA whose charge will amount to $700.