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Andrew [12]
2 years ago
7

|-9| = |9| true or false.

Mathematics
2 answers:
bogdanovich [222]2 years ago
6 0

Step-by-step explanation:

1) -9 = 9 true/false

the answer is false because negative and positive quite unlike in terms.

2) -(-21) = -21

Using the symbols multiplication rule,

Where,

<h2>+ × + = +</h2><h2>- × - = +</h2><h2>- × + = -</h2><h2>+ × - = -</h2>

Therefore, -(-21) = +21 = 21

⟼ 21 = -21 \sf true / \:  \sout{false}

Sladkaya [172]2 years ago
6 0

     \text{\#1, True       \;\;\;\;\;\;\;\;\;\;\; }            |-9| = |9|

The absolute value (the distance from 0) of -9 and 9:

9 = 9

     This is true.

--------------------

     \text{\#2, False       \;\;\;\;\;\;\;\;\;\;\;}           -(-21) = -21

Given:

-(-21) = -21

Negative times a negative is a positive:

21 ≠ -21

     This is not true.

--------------------

<em>To help you answer the last one about P on the number line, we will need more context.</em>

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Answer:

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The length of a rectangle is (x + 1) cm and its width is 5cm less than its length.
NeX [460]

Answer:

a) the area of a square is in terms of x is

(x+1)^2 centimeter square

b)The length of the rectangle is l = (x+1)

                                       l = 7+1 =8 cm

The width of the rectangle is w = [(x+1)-5]

                                     w = (7+1)-5 =3 cm

Step-by-step explanation:

a) the area of a square is in terms of x is

 area of square is l^{2} = (x+1)(x+1)

                                 = (x+1)^2

b)  Given length is  l = (x+1) cm and

the width is 5 cm less than its length.

so we have take width is w = (x+1)-5 cm

Given area of triangle is  24 cm

Area of rectangle = length X width

24  =  (x+1)(x+1 -5 )

now simplification 24 = (x+1)^2 - 5 (x+1)

apply (a+b)^2 = a^2+2 a b+b^2

x^2+2 x+1-5 x-5 =24

x^2 -3 x -4-24=0

x^{2} -3 x -28 =0

now find factors of 28  = 7 X 4 is  

x^{2} -7 x+4 x-28=0

x(x-7)+4(x-7)=0

(x+4)(x-7)=0

x = -4 and x=7

there fore you have to choose x = 7

The length of the rectangle is l = (x+1)

                                       l = 7+1 =8

The width of the rectangle is w = [(x+1)-5]

                                     w = (7+1)-5 = 3

<u>Verification:-</u>

Given area of rectangle  = 24 = 8 X 3

                                           24 =24

so we can not choose x=-4

we have to choose x =7 only

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Answer:

Step-by-step explanation:

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