Question

find the value of m and hence verify
$40 - 16(3m - 5) = - 10(4m - 8)$
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Answer 1

Step-by-step explanation:

$\red{\bold{\underline{\underline{QUESTION:-}}}}$

Q:-solve and find the value of m and hence verify

$40 - 16(3m - 5) = - 10(4m - 8)$

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$⟹40 - 16(3m - 5) = - 10(4m - 8)$

$⟹40 - 48m + 80 = - 40m + 80$

$⟹40 + 80 - 48m = - 40m + 80$

$⟹120 - 48m = - 40m + 80$

$⟹120 - 80 = - 40m + 48m$

$⟹40 = 8m$

$⟹m = \frac{40}{8} = 5$

CHECK:-

$⟹40 - 16(3(5) - 5) = - 10(4(5) - 8)$

$⟹40 - 16(15 - 5) = - 10(20 - 8)$

$⟹40 - 16(10) = - 10(12)$

$⟹40 - 160 = - 120$

$⟹ - 120 = - 120$

therefore,L.H.S=R.H.S

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HOPE IT HELPS YOU..

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Thankyou:)

Answer 2

Answer:

Given,

Area of rectangle = 25x2 – 35x + 12

We know, area of rectangle = length × breadth

So, by factoring 25x2 – 35x + 12, the length and breadth can be obtained.

25x2 – 35x + 12 = 25x2 – 15x – 20x + 12

=> 25x2 – 35x + 12 = 5x(5x – 3) – 4(5x – 3)

=> 25x2 – 35x + 12 = (5x – 3)(5x – 4)

So, the length and breadth are (5x – 3)(5x – 4).

Now, perimeter = 2(length + breadth)

So, perimeter of the rectangle = 2[(5x – 3)+(5x – 4)]

= 2(5x – 3 + 5x – 4) = 2(10x – 7) = 20x – 14

So, the perimeter = 20x – 14