Answer:
The height is 7 m.
Step-by-step explanation:
Volume = 1/3 * area of the base * height, so
28 = 1/3 * 3 * 4 * h
4h = 28
h = 7.
The area of a kite:
A = d1 * d2 / 2
d1 = BD = 8 units
48 = 8 * AC / 2
48 * 2 = 8 AC
96 = 8 AC
AC = 96 : 8 = 12
Answer: D ) 12 units
2. f(x) = x - 2x² - 5 + 10x
=-2x² + 8x - 5
f'(x)= -4x + 8
4. y = 100(45x - 30 - 3x³ + 2x²)
= 100(-3x³ + 2x² + 45x -30)
= -300x³ + 200x² + 4500x - 3000
y' = -900x² + 400x + 4500
Answer:
m = - 7
Step-by-step explanation:
Given
6(m - 1) = 3(3m + 5) ← distribute parenthesis on both sides
6m - 6 = 9m + 15 ( subtract 9m from both sides )
- 3m - 6 = 15 ( add 6 to both sides )
- 3m = 21 ( divide both sides by - 3 )
m = - 7