erinaaazmi
erinaaazmi erinaaazmi
  • 03-07-2020
  • Mathematics
contestada

given
[tex] log(x) = 2 \: and \: log(y) = - 1[/tex]
prove that
[tex]xy - 100y {}^{2} = 9[/tex]

​

Respuesta :

mani82ebra
mani82ebra mani82ebra
  • 05-07-2020

Step-by-step explanation:

[tex] log(x) = 2 \\ {10}^{2} = x \\ x = 100[/tex]

then for y:

[tex] log( y) = - 1 \\ {10}^{ - 1} = y \\ y = 0.1[/tex]

so:

[tex]xy - 100 {y}^{2} \\ = 100 \times 0.1 - 100 \times {(0.1)}^{2} \\ = 10 - 100 \times 0.01 \\ = 10 - 1 \\ = 9[/tex]

Answer Link

Otras preguntas

Tyler wrote a paper describing life in England in the eighteenth ________,from_______to_____. A century 1801, 1900 B decade 1701, 1800 C century 1700, 1799 D ce
Add an adverb to improve the sentence the sport has change with the nation
What was the name of the document martin Luther posted on the doors of castle church?
explain the relationship between observations and hypotheses
A submarine was situated 450 feet below sea level. If it descends 300 feet, what is its new position?
The percent composition of all elements in HClO3 is: a. 2% H, 20% Cl, 78% O b. 1% H, 42% Cl, 57% O c. 2% H, 68% Cl, 30% O d. None of the above
How did landforms and climates affect culture
How many different ways can you make 18 cents using dimes, nickels, or pennies? A. 8 B. 6 C. 5 D. 4
What's the anewer to this problem..? 21×__=9×21 tell which property you used 21×=9×21 Property of multiplication..
What is the context clues in this sentence? He GRABBED his lunch box from his kitchen table and went to school.