Answer: D) -5/6 < -3/5 < -4/7 < -4/9
Step-by-step explanation:
Since putting fractions from least to greatest by using negatives the number or fraction has to be closed to 0. -5/6 is the farthest from 0 so it'll be the least -4/9 is closes to 0 so -4/9 is the most.
Answer: 64
Step-by-step explanation:
By definition, a perfect square is the square of a whole number.
The information given in the problem that you must keep on mind is:
- The number has two digits.
- The number is a perfect square ( Is obtained by squaring a whole number).
- The sum of its two digits is 10.
The number 64 is formed by the digit 6 and the digit 4. The sum of both digits is:
The number 64 can be written as:
Then, it is perfect square.
$267.20 all I did was cross multiply
Answer:
x = -3 + i√6 and x = -3 - i√6
Step-by-step explanation:
Let's apply the "completing the square" method to find the roots of this equation.
Take half of the coefficient 6 of x, square it and add this result to x^2 + 6x. Then subtract the same quantity:
x^2 + 6x + 15 becomes
x^2 + 6x + 3^2 - 3^2 + 15 = 0
Rewriting the first three terms as the square of a binomial, we ge:
(x + 3)^2 - 9 + 15 = 0, which simplifies to:
(x + 3)^2 + 6 = 0, or (x + 3)^2 = -6
Taking the square root of both sides:
x + 3 = ±i√6
Then the two roots are complex:
x = -3 + i√6 and x = -3 - i√6
Answer:
9409
Step-by-step explanation:
Let's rewrite 97 as 100 - 3.
Identity used :
<u><em>(a - b)² = a² - 2ab + b²</em></u>
Now, evaluating the expression :
⇒ (100 - 3)²
⇒ (100)² - 2(100)(3) + (3)²
⇒ 10000 - 600 + 9
⇒ 9400 + 9
⇒ 9409
