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3 years ago

12

Hello and helpppp please!!

2 answers:

horsena [70]3 years ago

4 0

A.) m ≥ -28/5 is the answer

Explanation: first Distribute through the parentheses (-5m-5 ≤23)

Then- Move the constant to the right-hand side and change its sign (-5m ≤23+5)

Then- Add the numbers (-5m ≤ 28)

Last- Divide both sides of the inequality by and flip the inequality sign (m ≥ -28/5)

Hope this was helpful:)

RideAnS [48]3 years ago

3 0

Answer:

Step-by-step explanation:

-5(m+1) <= 23

(m+1) >= -23/5

m >= -23/5 - 1

m >= -23/5 -5/5

m >= -28/5

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Step-by-step explanation:

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3 years ago

Read 2 more answers

A The length of a rectangle is 4 m more

Lady bird [3.3K]

Given :

The length of a rectangle is 4m more than the width.
The area of the rectangle is 45m²

⠀

To Find :

The length and width of the rectangle.

⠀

Solution :

We know that,

$\qquad { \pmb{ \bf{Length \times Width = Area_{(rectangle)}}}}\:$

So,

Let's assume the length of the rectangle as x and the width will be (x – 4).

⠀

Now, Substituting the given values in the formula :

$\qquad \sf \: { \dashrightarrow x \times (x - 4) = 45 }$

$\qquad \sf \: { \dashrightarrow {x}^{2} - 4x = 45 }$

$\qquad \sf \: { \dashrightarrow {x}^{2} - 4x - 45 = 0 }$

$\qquad \sf \: { \dashrightarrow {x}^{2} - 9x+ 5 x - 45 = 0 }$

$\qquad \sf \: { \dashrightarrow x(x - 9) + 5(x - 9) = 0 }$

$\qquad \sf \: { \dashrightarrow (x - 9) (x + 5) = 0 }$

$\qquad \sf \: { \dashrightarrow x = 9, \: \: x = - 5}$

⠀

Since, The length can't be negative, so the length will be 9 which is positive.

⠀

$\qquad { \pmb{ \bf{ Length _{(rectangle)} = 9\:m}}}\:$

$\qquad { \pmb{ \bf{ Width _{(rectangle)} = 9 - 4=5\: m}}}\:$

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8 0

2 years ago