♡ The Question ♡
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3.602 × 10 − 4
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♡ The Answer ♡
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32.02
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♡ The Explanation/Step-By-Step ♡
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3.602 x 10 - 4
Multiply the numbers: 3.602 x 10 = 36.02
= 36.02 - 4
Subtract the numbers: 36.02 - 4 = 32.02!
= 32.02
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♡ Tips ♡
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No tips provided!
9 - c = -13
-c = -13 - 9
-c = - 22
c = 22 <===
Answer:
(5x + 7y)(25x² - 35xy + 49y²)
Step-by-step explanation:
125x³ + 343y³ ← is a sum of cubes and factors in general as
a³ + b³ = (a + b)(a² - ab + b² )
125x³ = (5x)³ ⇒ a = 5x
343y³ = (7y)³ ⇒ b = 7y
125x³ + 343y³
= (5x + 7y)((5x)² - (5x × 7y) + (7y)²)
= (5x + 7y)(25x² - 35xy + 49y²) ← in factored form
To do this, complete the square:
p(x) = 21 + 24x + 6x2 => <span>p(x) = 6x2 + 24x + 21
Rewrite the first 2 terms as
6(x^2 + 4x)
then you have </span><span>p(x) = 6(x2 + 4x ) + 21
Now complete the square of x^2 + 4x:
p(x) = 6(x^2 + 4x + 4 - 4) + 21
= 6(x+2)^2 - 24 + 21
p(x) = 6(x+2)^2 - 3 this is in vertex form now.
We can read off the coordinates of the vertex from this: (-2, -3)</span>
The answer to the problem is c
