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-5a^2 - 7a = -a x (5a + 7)
let me know if you have any other questions
:)
X^2 = 150
√x^2 = √150
x = 5√6 (or) ≈12.25
HOPE THIS HELPS!!!!
Answer: The correct option is fourth, i.e., 1935 cm³.
Explanation:
It is given that the vase is 30 cm tall and the hexagon base has an area of 64.5 cm².
The area of a hexagon base is,

Where, a is the side length.
The volume of the a hexagon glass is,


Where, A is area of base of hexagon and h is height of the hexagon glass.


Therefore the volume of the glass is 1935 cm³ and the glass can hold 1935 cm³ water. So, fourth option is correct.
Answer:
120
Step-by-step explanation:
Since we're dealing with a problem where the order matters and the first two letters are already chosen we need to subtract the number of letters and the number of available slots per group.
We use the permutation formula to find the answer, but before that let's check values.
n = 8
k = 5
Now since there are two letters already chosen we have to deduct two from both the value of n and k.
n = 6
k = 3
Now we can use the permutation formula:




The 3*2*1 cancels out and leaves us with:


So there are 120 possible ways to arrange eight letters into groups of five where order matters and the first two letters are already chosen.