Answer:
See below.
Step-by-step explanation:
5y - 2y + 4 = 10
5y - 2y = 6
3y = 6
y = 2
Check:
5y - 2y + 4 = 10
5(2) - 2(2) + 4 = 10
10 - 4 + 4 = 10
6 + 4 = 10
10 = 10
The value of y = 2
Answer:
m = - 8 ± 6
Step-by-step explanation:
Given
m² + 16m - 8 = 0 ( add 8 to both sides )
m² + 16m = 8
To complete the square
add ( half the coefficient of the m- term )² to both sides
m² + 2(8)m + 64 = 8 + 64
(m + 8)² = 72 ( take the square root of both sides )
m + 8 = ±
= ±
= ± 6
Subtract 8 from both sides
m = - 8 ± 6
The data set has no association.
Answer:

Step-by-step explanation:
Given that,
The sum of first n term of a sequence is
We need to find the sum of the first 5 terms.
Put n = 5,

So, the sum of first 5 terms is equal to
.
There are 1760 yards in one mile and the rink is 250 yard in perimeter.
This means 3 miles is 5280 yards.
If Sam has already gone around the whole rink 6 times, that means he was traveled a total of 1500 yards.
Sam has 3780 more yards to travel 3 miles.
This means he needs to do 15.12 more laps around the rink. Or 16 if you are rounding.
Hope this helps! :)