2 years ago

What's the output of a system modeled by the function ƒ(x) = x5 – x4 + 9 at x = 2?

Mathematics

1 answer:

Damm [24]2 years ago

4 0

Answer:

Step-by-step explanation:

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De un triángulo rectángulo se conoce que su hipotenusa mide 20 cm y la suma de los catetos miden 24 cm ¿Cuánto mide su área?

Lunna [17]

Answer:

The area of the right triangle is $43.88\ cm^{2}$

Step-by-step explanation:

The question in English is

From a right triangle it is known that its hypotenuse measures 20 cm and the sum of the legs measures 24 cm. How much does its area measure?

Let

x-----> the measure of one leg

y----> the measure of the other leg

Assume x is less than y

we know that

Applying Pythagoras Theorem

$20^{2}=x^{2}+y^{2}$ -----> equation A

$x+y=24$

$y=24-x$ -----> equation B

Substitute equation B in equation A and solve for x

$20^{2}=x^{2}+(24-x)^{2}\\ \\400=x^{2} + 576-48x+x^{2}\\ \\ 2x^{2} -48x+576-400=0\\ \\2x^{2} -48x+176=0$

Solve the quadratic equation by graphing

The solution is $x=4.5\ cm$

see the attached figure

$x=4.5\ cm$

$y=24-4.5=19.5\ cm$

The area is equal to

$A=xy/2=(4.5)(19.5)/2=43.88\ cm^{2}$

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