3 years ago

If an ostrich could maintain its

Mathematics

2 answers:

Burka [1]3 years ago

8 0

Answer: SUPER SONIC

Step-by-step explanation:

Marta_Voda [28]3 years ago

5 0

Answer:

45 miles per hour

Step-by-step explanation:

if an ostrich can run with its maximun speed for five hours, it means it would be running 45 miles per hour for five hours, giving it the maximun miles of 225 over 5 hours

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What number does y stand for in this equation?

mr_godi [17]

Answer:

B. 21

Step-by-step explanation:

7 0

3 years ago

If x^2+1/x^2=3 find the value of x^2/(x^2+1)^2<br> Express answer as a common fraction.<br> Thanks!!

timama [110]

$x^2+\dfrac1{x^2}=3\implies x^4+1=3x^2\implies x^4-3x^2+1=0$

By the quadratic formula,

$x^2=\dfrac{3\pm\sqrt5}2\implies x^2+1=\dfrac{5\pm\sqrt5}2$

Then

$(x^2+1)^2=\dfrac{25\pm10\sqrt5+5}4=\dfrac{15\pm5\sqrt5}2$

$\implies\dfrac{x^2}{(x^2+1)^2}=\dfrac{\frac{3\pm\sqrt5}2}{\frac{15\pm5\sqrt5}2}=\dfrac{3\pm\sqrt5}{15\pm5\sqrt5}$

Multiply numerator and denominator by the denominator's conjugate:

$\dfrac{3\pm\sqrt5}{15\pm5\sqrt5}\cdot\dfrac{15\mp5\sqrt5}{15\mp5\sqrt5}=\dfrac{45\pm15\sqrt5\mp15\sqrt5-25}{15^2-(5\sqrt5)^2}=\dfrac{20}{100}=\dfrac15$