Answer:
B
Step-by-step explanation:
This is a quadratic in cosines
Factor by considering the factors of the product 2 × 1 = 2 which sum to give the coefficient of the cos x term (3 )
the factors are + 2 and + 1
use these factors to split the middle term
2cos²x + 2cosx + cosx + 1 = 0 (factor by grouping )
2cosx(cosx + 1) + 1(cosx + 1) = 0 (take out common factor (cosx + 1) )
(cosx + 1)(2cosx + 1) = 0
equate each factor to zero and solve for x
cosx + 1 = 0
cosx = - 1 ⇒ x = π
2cosx + 1 = 0
cosx = -
since cosx < 0 then x is in second/ third quadrant
x = or x =
The bird will have been flying for 2 hours at 12 miles per hour. Because he is going 12 miles per hour, he will have gone 24 miles total.
Answer:
27 Chickens
Step-by-step explanation:
<em>Represent the chicken with A and the cows with B</em>
Given
A has 2 legs and B has 4; So:
Required
Determine A and B
Make B the subject of formula in the first equation
Substitute 30 - A for B in the second equation
Open the bracket
Collect Like Terms
Divide through by -2
<em>Hence, the farmer has 27 chickens</em>
Answer:b
10 to 20 is 10 and 80 to 60 is -20 so it’s -20/10 which is -2