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Semenov [28]
3 years ago
13

The sum of two numbers is 50 and their difference is 4

Mathematics
1 answer:
Semmy [17]3 years ago
8 0

Answer:

The numbers are 23,27

Step-by-step explanation:

Let one number be x

Other number = 50 - x

50 - x - x = 4

50 - 2x = 4

-2x = 4 - 50

-2x = - 46

x = -46/-2

x = 23

Other number = 50 - x = 50 -23 = 27

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Simplify. Your answer should contain only positive exponents with no fractional exponents in the denominator.
mart [117]

Answer:

\dfrac{x^{\frac{2}{3}}y^{\frac{1}{4}}}{4y^{2}}.

Step-by-step explanation:

The given expression is  

\dfrac{3y^{\frac{1}{4}}}{4x^{-\frac{2}{3}}y^{\frac{3}{2}}\cdot 3y^{\frac{1}{2}}}

We need to simplify the expression such that answer should contain only positive exponents with no fractional exponents in the denominator.

Using properties of exponents, we get

\dfrac{3}{4\cdot 3}\cdot \dfrac{y^{\frac{1}{4}}}{x^{-\frac{2}{3}}y^{\frac{3}{2}+\frac{1}{2}}}    [\because a^ma^n=a^{m+n}]

\dfrac{1}{4}\cdot \dfrac{y^{\frac{1}{4}}}{x^{-\frac{2}{3}}y^{2}}

\dfrac{1}{4}\cdot \dfrac{x^{\frac{2}{3}}y^{\frac{1}{4}}}{y^{2}}         [\because a^{-n}=\dfrac{1}{a^n}]

\dfrac{x^{\frac{2}{3}}y^{\frac{1}{4}}}{4y^{2}}

We can not simplify further because on further simplification we get negative exponents in numerator or fractional exponents in the denominator.

Therefore, the required expression is \dfrac{x^{\frac{2}{3}}y^{\frac{1}{4}}}{4y^{2}}.

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kifflom [539]

Answer:

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Step-by-step explanation:

The equation of a unit circle is expressed as;

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Given the coordinate of P = (-33/7, y)

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(-33/7)²+y² = 1

Expand

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y² = (1-33/7)(1+33/7)

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y = √-1040/√49

y = √-1040/7

Hence the value of y is y = √-1040/7

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3 years ago
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