To find which of the following roots is between "8" and "7" we can calculate the root of which numbers result in 8 and 7. To do this we will power them by 2, this is done because power is the oposite operation to the root. Doing this gives us:

So the root of 64 is 8 and the root of 49 is 7. We need to find the number that is between 49 and 64.
From the options the only one that qualifies is 52. The correct option is b.
Answer:
Step-by-step explanation:
B is correct: We Divide it (the coefficient b) by 2 and square the result.
Answer:

Step-by-step explanation:
We have a separable equation, first let's rewrite the equation as:

But:

So:

Multiplying both sides by dx and dividing both sides by 3a+y:

Integrating both sides:

Evaluating the integrals:

Where C1 is an arbitrary constant.
Solving for y:


So:

Finally, let's evaluate the initial condition in order to find C1:

Solving for C1:

Therefore:

(3w + 9) + (6w + 7) + (8w - 4) =
= 3w + 9 + 6w + 7 + 8w - 4 =
= 3w + 6w + 8w + 9 + 7 - 4 = <u>1</u><u>7</u><u>w</u><u> </u><u>+</u><u> </u><u>1</u><u>2</u>