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3 years ago

Rectangle ABCD has a perimeter represented by the expression 9x + 3. Rectangle PQRS has a

Mathematics

1 answer:

9966 [12]3 years ago

8 0

Answer:

D. $3x + 1$

Step-by-step explanation:

Perimeter of Rectangle ABCD = $9x + 3$

Perimeter of Rectangle PQRS = $6x + 2$

Difference between perimeter of Rectangle ABCD and Perimeter of Rectangle PQRS:

$(9x + 3) - (6x + 2)$

Open Parentheses

$9x + 3 - 6x - 2$

Collect like terms

$9x - 6x + 3 - 2$

$3x + 1$

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500

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3 years ago

Lim<br> t—>0 1-cos(2t) / sin^2 (11t)

Nitella [24]

Answer:

2/121

Step-by-step explanation:

Hello,

Hôpital's rule will help here.

$\forall t \in \mathbb{R}^*\\\\f(t)=1-cos(2t)\text{ *** f is differentiable}\\f'(t)=2sin(2t)\\f''(t)=4cost(2t)\\f''(0)=4 \\ \\g(t)=sin^2(11t)\text{ *** g is differentiable}\\g'(t)=2sin(11t)\times 11 \times cos(11t)=2\times 11 sin(11t)cos(11t)\\\\g''(t)=2\times 11 (11cos^2(11t)-11sin^2(11t))\\g''(0)=2\times 11^2$

So the limit is 4/(2*121)=2/121

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3 years ago

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wolverine [178]

Answer:

4 thousand =4000 11 hundred =1100

4000

+1100

---------

5100

Step-by-step explanation:

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