Arectangle has an area of 30 scuare meters and a perimeter of 34 meters what are the dimensions of the rectangle?

P = 34 = 2(l + w) | : 2 => l + w = 17 => w = 17 - l

A = 30 = l×w

30 = l(17 - l)

17l - l² - 30 = 0 | (-)

l² - 17l + 30 = 0

l² - 2l - 15l + 30 = 0

l(l - 2) - 15(l - 2) = 0

(l - 15)(l - 2) = 0

l - 15 = 0 => l₁ = 15 m => w₁ = 2 m

l - 2 = 0 => l₂ = 2 m => w₂ = 15 m

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation:

option 3 . (5x + 1) - (-10x + 6)

step-by-step explanation:

option 1 :

(4x + 3) + (-9x + 4)

or 4x+3 -9x + 4

or -5x + 7

option 2

(x - 2) - (6x - 9)

or x-2-6x + 9

or -5x + 7

option 3

(5x+ + 6)

or 5x + 1 + 10x -6

or 15x -5

option 4

-4x+2x+7-3x

-7x + 2x + 7

-5x + 7

hence only option 3 did   not satisfy the given simplify expression.