Answer:
(x-2)^2 +(y+5)^2=4^2
Step-by-step explanation:
x minus 2 squared + y plus 5 squared = radius squared
To find:
An irrational number that is greater than 10.
Solution:
Irritation number: It cannot be expression in the form of 
, where, 
are integers.
For example: 
.
We know that square of 10 is 100. So, square root of any prime number is an example of an irrational number that is greater than 10.
First prime number after 100 is 101.
Required irrational number 
Therefore, 
is an irrational number that is greater than 10.
I assume the equation is
√(2x - 5) - √(x + 6) = 0
Note the domains for the root expressions:
• √(2x - 5) : 2x - 5 ≥ 0 ⇒ x ≥ 5/2
• √(x + 6) : x + 6 ≥ 0 ⇒ x ≥ -6
So any valid solution we find must be at least 5/2.
Move one term to the other side.
√(2x - 5) = √(x + 6)
Take squares.
(√(2x - 5))² = (√(x + 6))²
2x - 5 = x + 6
Solve for x :
x = 11
Answer:
LCD = 72
Equivalent Fractions with the LCD
1/8 = 9/72
5/12= 30/72
7/18 = 28/72
Solution:
Rewriting input as fractions if necessary:
1/8, 5/12, 7/18
For the denominators (8, 12, 18) the least common multiple (LCM) is 72.
LCM(8, 12, 18)
Therefore, the least common denominator (LCD) is 72.
Calculations to rewrite the original inputs as equivalent fractions with the LCD:
1/8 = 1/8 × 9/9 = 9/72
5/12 = 5/12 × 6/6 = 30/72
7/18 = 7/18 × 4/4 = 28/72
