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Nataly [62]
3 years ago
10

Enter the value of 5.2+(-5)-(-0.4).

Mathematics
2 answers:
Sunny_sXe [5.5K]3 years ago
6 0

Answer:

0.6

Step-by-step explanation:

MrRissso [65]3 years ago
3 0

Answer:

0.6

Step-by-step explanation:

5.2+(-5)-(-0.4) \\ 5.2 - 5 + 0.4 = 0.6 \\

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Which property can you use to show that 3x + (2x + 4) is equivalent to (3x + 2x) + 47
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Associative Property

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Makovka662 [10]

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2 years ago
Write x^2 − 2x − 3 = 0 in the form (x − a)^2 = b, where a and b are integers.
Airida [17]
X²-2x-3 = 0     let's start by grouping the "x"s

(x² - 2x + [?])² - 3 = 0

so, we have a missing fellow there, in order to make the group, a perfect square trinomial, namely to "complete the square", hmmm so the tell-tale fellow is the middle term.

from a perfect square trinomial we know that the middle term is a product of 2 and the "term on the left" and the "term on the right", like 

\bf \begin{array}{cccccllllll}
 a^2& + &2 a b&+& b^2\\
\downarrow && &&\downarrow \\
 a&& && b\\
&\to &( a +  b)^2&\leftarrow 
\end{array}\qquad \qquad \quad 
\begin{array}{cccccllllll}
 a^2& - &2 a b&+& b^2\\
\downarrow && &&\downarrow \\
 a&& && b\\
&\to &( a -  b)^2&\leftarrow 
\end{array}

\bf \textit{therefore}\qquad 2(x)(\boxed{?})=\stackrel{middle~term}{2x}\implies \boxed{?}=\cfrac{2x}{2x}\implies \boxed{?}=1

aha!!  so our missing fellow is 1.

now, let's keep in mind that all we're doing is borrowing from our very good friend Mr Zero, 0.  So if we add 1², we also have to subtract 1².

(x² - 2x + 1² - 1²) - 3 = 0

(x² - 2x + 1) -1 -3 =0

(x - 1)² - 4 = 0

(x - 1)² = 4
5 0
3 years ago
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