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2 years ago

Factor completely. 25w² + 60w + 36 Express the answer in the form (aw+b)2 . Enter your answer in the box.

Mathematics

2 answers:

Ira Lisetskai [31]2 years ago

8 0

Solution:

→25 w² + 60 w + 36

You can do it by two methods, either by splitting the middle term that is term containing w

Or, directly converting it into form of perfect square.

1. Splitting the middle term

=25 w² + 30 w + 30 w + 36

= 5 w× ( 5 w + 6) +6× ( 5 w + 6)

= ( 5 w + 6)(5 w + 6)

= (5 w + 6)²

2. By perfect square method

25 w² + 60 w + 36

= (5 w)² + 2 × (5 w)× (6) + (6)²

= (5 w + 6)²→→→using the Identity, (a+b)²= a²+ b²+ 2 a b

Brut [27]2 years ago

7 0

25w²=(5w)², 36=6², 60w=2*5w*6
Recall the formula (a+b)²=a²+2ab+b²
in this case, 25w² + 60w + 36=(5w+6)²

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2 years ago

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Zielflug [23.3K]

Answer/Step-by-step explanation:

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~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

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~Lenvy~

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marin [14]

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$94.2 = \pi r^2\frac{10}3 \\ 282.6 = \pi r^2 *10 \\ 28.26 = \pi r^2 \\ 8.99543738355 = r^2 \\ 2.99923946752=r$

Now we know that's going to be the radius of our new cone as well since we're keeping the diameter the same. The volume is going to be double 94.2 which is 188.4. Let's solve for the height.

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babunello [35]

Answer:

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