Answer:
(4x)¯² (4x)³ (4x)⁹ = (4x)¹⁰
Step-by-step explanation:
(4x)¯² (4x)³ (4x)⁹
The above expression can be simplified as follow:
Recall:
When we have two or more index number with same base and a multiplication sign in between them, we easily simply by adding the index number together while keeping the base constant. This is illustrated below:
a^m x a^n = a^(m + n)
Therefore,
(4x)¯² (4x)³ (4x)⁹ = (4x)^(-2 + 3 +9)
(4x)¯² (4x)³ (4x)⁹ = (4x)¹⁰
height of water = 6.25 cm
The volume of the container = 20 × 10 × 10 = 2000 cm³
volume after 750 cm³ is poured out = 2000 - 750 = 1250 cm³
height = 1250/( 20 × 10) = 6.25 cm
Answer:
The two angles are each 31 degrees.
Step-by-step explanation:
Find x
- 3x + 10 = 5x - 4 Add 4 to both sides
- 3x + 10 + 4 = 5x - 4 + 4
- 3x + 14 = 5x Subtract 3x from both sides.
- 3x - 3x + 14 = 5x -3x
- 14 = 2x Divide by 2
- 14/2 = 2x/2
- 7 = x Switch
- x = 7
3x + 10
5x - 4
Answer:
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Step-by-step explanation:
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