V = LWH
<span>V = 50 * 1 * 1</span>
Answer: Log9,(11/7)^4
Step-by-step explanation:
according to the rules of logarithm
1)Subtraction sign(-) becomes division(÷),while addition(+)becomes multiplication (x)
2) the number in front of the log figure becomes an indices
Answer:
0
Step-by-step explanation:
<h3>Given</h3>
- (x +
)(y + 
) = 1 - (x+y)² = ?
<h3>Solution</h3>
<u>Let's make substitution as:</u>
- (x + ) = m
then
- (y + ) = 1/m
<u>Solving the first equation for x and the second one for y:</u>
- (x + ) = m
- = m - x
- 1 + x² = (m - x)²
- 1 + x² = m² - 2mx + x²
- 2mx = m² - 1
- x = (m² - 1)/2m
And
- (y + ) = 1/m
- = 1/m - y
- 1 + y² = 1/m² -2y/m + y²
- 1 = 1/m² - 2y/m
- m² = 1 - 2my
- 2my = 1 - m²
- y = (1 - m²)/2m
- y = - (m² - 1)/2m
<u>Now, sum of x and y:</u>
- x + y = (m² - 1)/2m - (m² - 1)/2m = 0
<u>Therefore:</u>
Answer is zero
Answer:
Conversion a mixed number 1 2/
3
to a improper fraction: 1 2/3 = 1 2/
3
= 1 · 3 + 2/
3
= 3 + 2/
3
= 5/
3
To find new numerator:
a) Multiply the whole number 1 by the denominator 3. Whole number 1 equally 1 * 3/
3
= 3/
3
b) Add the answer from previous step 3 to the numerator 2. New numerator is 3 + 2 = 5
c) Write a previous answer (new numerator 5) over the denominator 3.
One and two thirds is five thirds
Conversion a mixed number 2 1/
3
to a improper fraction: 2 1/3 = 2 1/
3
= 2 · 3 + 1/
3
= 6 + 1/
3
= 7/
3
To find new numerator:
a) Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2 * 3/
3
= 6/
3
b) Add the answer from previous step 6 to the numerator 1. New numerator is 6 + 1 = 7
c) Write a previous answer (new numerator 7) over the denominator 3.
Two and one third is seven thirds
Subtract: 5/
3
- 7/
3
= 5 - 7/
3
= -2/
3
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(3, 3) = 3. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 3 × 3 = 9. In the next intermediate step, the fraction result cannot be further simplified by canceling.
In words - five thirds minus seven thirds = minus two thirds.
