An=a1+d(n-1)
a1=first term
d=common difference
n=which term
common difference is 5 first term is 2
an=5+2(n-1)
19th term is n=19
a19=5+2(19-1)
a19=5+2(18)
a19=5+36
a19=41
19th term is 41
Answer:
135 units²
Step-by-step explanation:
height = √17²-8²=√289-64=√225=15
area = 9×15 = 135 units²
Answer:
The friends live 285 miles apart.
Step-by-step explanation:
Let total distance in miles Sean needs to cover to visit his friend be = 
On first hour distance traveled in miles is = 
Distance left to cover after first hour = 
On second hour distance traveled = 34 miles
Distance to still left to be covered = 194 miles
Total distance to be covered after first hour will be = 
= 228 miles
Thus, the equation can be given as:
⇒ 
Multiplying each term with 5 to remove fractions.
⇒ 
⇒ 
⇒ 
Dividing both sides by 4.
⇒ 
∴ 
Thus, the friends live 285 miles apart.
Answer:The first one is 2.333333333
Step-by-step explanation:Simplifying
5(2 + -1j) + (2j + -3) = 0
(2 * 5 + -1j * 5) + (2j + -3) = 0
(10 + -5j) + (2j + -3) = 0
Reorder the terms:
10 + -5j + (-3 + 2j) = 0
Remove parenthesis around (-3 + 2j)
10 + -5j + -3 + 2j = 0
Reorder the terms:
10 + -3 + -5j + 2j = 0
Combine like terms: 10 + -3 = 7
7 + -5j + 2j = 0
Combine like terms: -5j + 2j = -3j
7 + -3j = 0
Solving
7 + -3j = 0
Solving for variable 'j'.
Move all terms containing j to the left, all other terms to the right.
Add '-7' to each side of the equation.
7 + -7 + -3j = 0 + -7
Combine like terms: 7 + -7 = 0
0 + -3j = 0 + -7
-3j = 0 + -7
Combine like terms: 0 + -7 = -7
-3j = -7
Divide each side by '-3'.
j = 2.333333333
Simplifying
j = 2.333333333
The digit in the thousands place is 5
