Question

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Answer 1

Answer:

(2) The other dimension (Breadth) = (5x + 3)

(3) k = 12

    1st gap = 36

    2nd gap = 8

    3rd gap = 108

Step-by-step explanation:

(2) It's given that,

    Area (A) = 5x² - 17x -12

                    let's do some Middle Term Breakup:

5x² - 17x -12 = 5x² - 20x + 3x -12              (5×12=60;20×3=60)

                   = 5x (x - 4) + 3 (x - 4)

                  = (x - 4) (5x + 3)

    A dimension (Length/L) = x - 4

We know the Formulae,

Area(A) = Length(L) × Breadth(B)

Accordingly,

5x² - 17x -12 = (x - 4) × B

or, (x - 4) (5x + 3) = (x - 4) × B

or, (x - 4) (5x + 3) ÷ (x - 4) = B

Now, we got the value, (5x + 3) = B

So, the other dimension (Breadth/B) is: (5x + 3) (ANS)

(3) Here, we got from the 2nd column:

   Time (t) = 4

   Height (h) = 48

So, h = kt

     k = h/t

so, k = 48/4, or, 12 (ans)

Now,

For the 1st gap:

It's given that,

                 t = 3

                 h = ?

we know that, k = 12

So, h = kt

or, h = 12 × 3 = 36 (ANS)

For the 2nd gap:

It's given that,

                 t = ?

                 h = 96

we know that, k = 12

So, h = kt

or, t = h/k

or, t = 96/12, or, 8 (ANS)

For the 3rd gap:

It's given that,

                 t = 9

                 h = ?

we know that, k = 12

So, h = kt

or, h = 12 × 9 = 108 (ANS)

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