Help asap I will make you brainllest. 10) Simplify the following expressions -|-4|+|-7.2| a)-11.2 b)3.2 c)11.2 d)-3.2 11) What is the opposite of 12) 13) 14)

Question

asked Feb 23, 2021 217k views

1 Answer

CuppM · Answer 1 · 2021-03-01T07:42:19+0000

Answer: (10) 3.2 (11) option 2 (12) option 4

(13) Distributive (14) Associative

Explanation:

10) "Absolute value" makes the number positive.

- |-4| + |-7.2|

= - 4 + 7.2

= 3.2

11) "Opposite" changes the sign.

the opposite of
$-\sqrt{(2)/(5)}$ is
$+\sqrt{(2)/(5)}$

12) Reciprocal means "flip" the fraction

the reciprocal of
$-\sqrt{(2)/(5)}$ is
$-\sqrt{(5)/(2)}$

13) a(b + c) = ab + ac is the Distributive Property

$-\sqrt5(2+X)$

=
$-\sqrt5(2) -\sqrt5(X)$

=
$-2\sqrt5 -X\sqrt5$

14) a · (b · c) = (a · b) · c is the Associative Property

$20(4\sqrt5)$

=
$(20\cdot 4)\sqrt5$