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3 years ago

If ru is an altitude of rst find rs

Mathematics

1 answer:

Anna11 [10]3 years ago

4 0

Answer:

The correct answer is Option D. 20

Step-by-step explanation:

From the figure we get,

<RUS = 90° because RU ⊥ TS

<u>To find the value of x</u>

It is given that <RUS = 4x + 54

Therefore we can write,

4x + 54 = 90

4x = 90 - 54 = 36

x = 36/4 = 9

It is given that,

RS = 3x - 7 = 3*9 -7 = 20

Therefore the correct option is Option D . 20

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Step-by-step explanation:

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3 years ago

Need help with a system of equations

sweet [91]

Answer:

$\boxed{x - y = -2\sqrt{7}}$

Given:

$x + y = 4 \\ \\ {x}^{2} + {y}^{2} = 22 \\ \\ {x}^{4} = {y}^{4} - 176 \sqrt{7}$

Step-by-step explanation:

$= > {x}^{4} = {y}^{4} - 176 \sqrt{7} \\ \\ = > {x}^{4} - {y}^{4} = - 176 \sqrt{7} \\ \\ = > {( {x}^{2}) }^{2} - { ({y}^{2}) }^{2} = - 176 \sqrt{7} \\ \\ = > ( {x}^{2} + {y}^{2} )( {x}^{2} - {y}^{2} ) = - 176 \sqrt{7} \\ \\ = > ( {x}^{2} + {y}^{2}) (x + y)(x - y) = - 176 \sqrt{?} \\ \\ = > 22 \times 4(x - y) = - 176 \sqrt{7} \\ \\ = > 88(x - y) = - 176 \sqrt{7} \\ \\ = > x - y = - \frac{176 \sqrt{7} }{88} \\ \\ = > x - y = - 2 \sqrt{7}$