Someone please help...

Mathematics

1 answer:

Viefleur [7K]3 years ago

3 0

Answer:

2 1/3

1 4/3

2.333...

233.3...%

Step-by-step explanation:

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The number obtained on rationalizing the denominator of 1/(√7--2) is

Slav-nsk [51]

$\frac{1}{ \sqrt{7} -(- 2)} \\ rationalizing \: \: \: the \: \: \: denominator \: \: \: we \: \: \: have \\ = \frac{1}{ \sqrt{7} + 2 } \times \frac{ \sqrt{7} - 2}{ \sqrt{7} - 2} \\ = \frac{ \sqrt{7} - 2}{ {( \sqrt{7} )}^{2} - {(2)}^{2} } \\ = \frac{ \sqrt{7} - 2 }{7 - 4} \\ = \frac{ \sqrt{7} - 2}{3}$

Hope you could get an idea from here.

Doubt clarification - use comment section.

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2 years ago

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artcher [175]

Answer:

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Step-by-step explanation:

We need to find which one of these numbers is a perfect square. We know 7 and 13 can be eliminated since they're prime numbers so they can't be perfect squares. B and C are both perfect squares so that's the answer.

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3 years ago

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On a cruise of 1125 passengers. 450 were female what fraction of passengers were male?

WINSTONCH [101]

Step-by-step explanation:

$\\1125-450=675$

$\frac{675}{1125}$ $=\frac{3}{5}$

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3 years ago

27x+5+15x-2 what is the degree angle

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Write the equation of the sphere in standard form. x^2 + y^2 + z^2 + 2x − 4y − 6z = 22

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The equation $x^{2} +y^{2} +z^{2} +2x-4y-6z=22$ in standard form looks like $(x+1)^{2} +(y-2)^{2} +(z-3)^{2} =(6)^{2}$ .

Given equation of sphere be $x^{2} +y^{2} +z^{2} +2x-4y-6z=22$ .

We are required to express the given equation in the standard form of the equation of sphere.

Equation is basically relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c. It may be linear equation,quadratic equation, cubic equation or many more depending on the powers of variables. The standard form of the equation of sphere looks like $x^{2} +y^{2} +z^{2} =r^{2}$ .