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alekssr [168]
3 years ago
8

HELP ME PLEASE!!!this is due in 10 minutes

Mathematics
2 answers:
quester [9]3 years ago
6 0

I believe that it is (B).

tatiyna3 years ago
3 0

Answer:

a) x = 4 cm

Step-by-step explanation:

x + 2x + 2x = 20 cm

5x = 20

x = 4 cm

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Which value must be added to the expression x^2+x to make it a perfect-square trinomial? A.1/4 B.1/2 C.1 D.4
barxatty [35]

Hello from MrBillDoesMath!

Answer:

Choice A, 1/4


Discussion:

Consider the perfect square

        (x + a)^2 =   x^2 + (2a)x + a^2

The constant term (a^2) equals  1/2 the coefficient of x (i.e.  2a), squared.

Let's apply this idea to x^2 + x

x^2 + x =                                                    => as 2 * 1/2 = 1

x^2 + ( 2 * 1/2)x =

( x^2 + (2* 1/2)x +  ( 1/2) ^2 )  - (1/2) ^2  =    

    as constant term to add is 1/2 coefficient of x (that is, 1/2)  and

     (1/2)^2 - (1/2)^2 = 0

(x + 1/2) ^ 2  - (1/2)^2

In other words add the constant (1/2)^2 = 1/4, which is Choice A.


Thank you,

MrB

7 0
3 years ago
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