Answer:
-14
Step-by-step explanation:
1. Carry out the indicated multiplication, obtaining 24a + 48 = 18a - 36.
2. Combine like terms: 6a = -84.
3. Divide both sides by 6 to isolate a: a = -84/6 = -14
Answer:
see explanation
Step-by-step explanation:
given
f'(x) = 12cos x - 4sin x, then
f'(
) = 12cos(
) - 4sin(
)
[ cos(
) = -cos(
), sin(
= - sin(
) ]
= -12cos(
) + 4sin(
)
= - 12 ×
+ 4 × 
= - 6 + 2
≈ - 2.536 ( 3 dec. places )
Step-by-step explanation:
6a
Sn = n/2 [2a + (n-1) d]
(2Sn)/ n = 2a + (n - 1) d
2a + (n-1) d = (2Sn)/n
(n-1) d = (2Sn - 2a)/n


6b

d = ¹/16
7a.
E = (mv²)/2 + mgh
E = m( v²/2 + gh)
E/m = v²/2 + gh
E/m - gh = v²/2
2(E/m - gh) = v²
so

7b.

v = 14 m/s
Answer:
119 degrees
Step-by-step explanation:
The measure of EAC is 119 because 62 + 57 = 119.
Then, EAC and BAD are vertical angles, so they are equal.
Therefore, BAD = 119 degrees