We can factor this by using grouping. Take the leading coefficient and multiply it by the constant. In this case we get 5*-7 = -35.
Now we need 2 numbers that add to 2 and multiply to be -35. The numbers are -5 and 7.
So split the 2r into these two terms and group.
(5r^2 - 5r) + (7r - 7)
Factor both groups.
5r(r-1) + 7(r-1)
The factors of (r-1) can be added together to get the answer.
(r-1)(5r+7)
Answer:
Step-by-step explanation:
No. of days Delynn played soccer = 3/5 of 45
= (3/5) * 45 = 3*45/5 = 3*9
= 27 days
Answer:
tan 5π/24.
Step-by-step explanation:
We use the identity:
tan (A - B) = (tan A - tan B) / (1 + tan A tan B)
so the first expression simplifies to
tan ( π/3 - π/8)
= tan 5π/24.
