3 years ago

Find acute angle between the line 2x+4y=7 and x+2y=5

Mathematics

1 answer:

Morgarella [4.7K]3 years ago

6 0

Answer:

arctan(4/3) ≈ 0.9272

Step-by-step explanation:

On comparing eqⁿ to y = mx + c,

Slope of 2x + 4y = 7 is -2/4 = - 1/2

Slope of x + 2y = 5 is - 1/2

Therefore, if A is the angle b/w them,

A = arctan | (m1 + m2)/(1 - m1m2) |

A = arctan | (-½ - ½)/(1 - ¼) |

A = arctan (4/3)

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Please explain how you got the answers also please. Thank you :)

Umnica [9.8K]

Answer:

x = -2 —> y = 4

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Step-by-step explanation:

$y = ( \frac{1}{2} ) ^{x} \\ y = ( \frac{1}{2} ) ^{ - 2} =( \frac{2}{1} ) ^{2} = {2}^{2} = 4$

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I hope I helped you^_^

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