3 years ago

Factor 4z squared plus 4z minus 15

1 answer:

6 0

(2z-3)(2z+5) is your answer!

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Nataly_w [17]

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a=15

Step-by-step explanation:

$a^{2} =9*25\\a^{2} =225\\\\\sqrt{a} =\sqrt{222\\a=15$

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3 years ago

guajiro [1.7K]

Answer:

$90\pi\text{ ft/s}\approx282.74\text{ ft/s}$

Step-by-step explanation:

Refer to physics equation $v=\omega r$ , where $\omega$ is angular velocity.

Angular velocity's SI unit is rad/s. Convert rev/min to rad/s:

$\displaystyle 5\text{ rev/min}=5\cdot \frac{1}{60}\cdot 2\pi\approx 0.524\text{ rad/s}$

Now substitute $\displaystyle\omega=\frac{1\pi}{6}$ and $r=9$ into $v=\omega r$ :

$\displaystyle v=\frac{1\pi}{6}\cdot 9=\frac{3}{2}\pi\text{ ft/s}=\boxed{90\pi\text{ ft/s}}$

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3 years ago