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Darya [45]
3 years ago
14

What is the perimeter of a square with side length 2x-3

Mathematics
2 answers:
Yanka [14]3 years ago
8 0
4(2x-3) or (2x+-3)+(2x+-3)+(2x+-3)+(2x+-3) =8x-12
NeTakaya3 years ago
5 0

Perimeter of a square: side length * 4, since squares have equal side lengths

Take 2x - 3 for the side length and plug it into the formula.

(2x - 3) * 4 can be rewritten as 4(2x - 3)

Distribute 4 inside the parentheses.

8x - 12 = perimeter of the square

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Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.

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Given that,

A person stand 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 m/s.

From Pythagorean Theorem,

(The distance between car and person)²= (The distance of the car from intersection)²+ (The distance of the person from intersection)²+

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\frac{dy}{dt}=\frac{1}{2\sqrt{x^2+100}}. 2x\frac{dx}{dt}

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Since the car driving towards the intersection at 13 m/s.

so,\frac{dx}{dt}=-13

\therefore \frac{dy}{dt}=\frac{x}{\sqrt{x^2+100}}.(-13)

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\therefore \frac{dy}{dt}|_{x=24}=\frac{24}{\sqrt{24^2+100}}.(-13)

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Negative sign denotes the distance between the car and the person decrease.

Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.

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