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3 years ago

PLEASE HELP ME MATH URGENT

Mathematics

1 answer:

slega [8]3 years ago

7 0

S answer is no for the question

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Step-by-step explanation:

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If(√14/√7-2)-(√14/√7+2)=a√7+b√2 find the values of a and b where a and b are rational numbers

seraphim [82]

Answer:

a = 4/3 and b = 0

============================

<h2>Given expression:</h2>

$\dfrac{\sqrt{14} }{\sqrt{7}-2} -\dfrac{\sqrt{14} }{\sqrt{7}+2}$

<h2>Simplify it in steps:</h2>

Bring both fractions into common denominator:

$\dfrac{\sqrt{14} (\sqrt{7}+2)}{(\sqrt{7}-2)(\sqrt{7}+2)} - \dfrac{\sqrt{14} (\sqrt{7}-2)}{(\sqrt{7}-2)(\sqrt{7}+2)}$

Simplify:

$\dfrac{\sqrt{14} ((\sqrt{7}+2) - (\sqrt{7}-2))}{(\sqrt{7}-2)(\sqrt{7}+2)} =$

$\dfrac{\sqrt{14} (\sqrt{7}+2 - \sqrt{7}+2)}{(\sqrt{7}-2)(\sqrt{7}+2)} =$

$\dfrac{4\sqrt{14} }{(\sqrt{7}-2)(\sqrt{7}+2)} =$

$\dfrac{4\sqrt{14} }{(\sqrt{7})^2-2^2} =$

$\dfrac{4\sqrt{14} }{7-4} =$

$\dfrac{4}{3} \sqrt{14} }$

Compare the result with given expression to get:

a = 4/3 and b = 0

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Explanation:

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ivann1987 [24]

Answer:

Option A

Step-by-step explanation:

Angular velocity of an object is defined by,

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Here, Δθ = Change in angle of rotation

Δt = Duration or time

In this question Δθ = $\frac{7\pi }{2}$ radians and Δt = 24 seconds

Therefore, angular velocity = $\frac{\frac{7\pi }{2} }{24}$

= $\frac{7\pi }{48}$ radians per second

Option A is the answer.

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3 years ago