Answer:
"I Only" is the correct answer
Step-by-step explanation:
Given inequality is:
-10>3x-6
In order to check which numbers are solution to the given inequality, we will put each number one by one in the inequality. If the inequality is true after putting the number, the number is the solution of the inequality.
So,
<u>I . -10</u>
Putting -10 in the inequality
The inequality results in true after putting x=-10 so -10 is the solution of inequality.
<u>II. 5</u>
Putting 5 in the inequality
The equality doesn't hold true for x=5 so 5 is not the solution of the problem.
<u>III. -1</u>
Putting -1 in the equation
Inequality doesn't hold true for x=-1 so it is not the solution of the inequality.
Hence,
"I Only" is the correct answer as only -10 is the solution of inequality.
Answer:
True
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
Two different approaches:
<u>Method 1</u>
Apply radical rule √(ab) = √a√b to simplify the radicals:
√98 = √(49 x 2) = √49√2 = 7√2
√50 = √(25 x 2) = √25√2 = 5√2
Therefore, (√98 - √50)² = (7√2 - 5√2)²
= (2√2)²
= 4 x 2
= 8
<u>Method 2</u>
Use the perfect square formula: (a - b)² = a² - 2ab + b²
where a = √98 and b = √50
So (√98 - √50)² = (√98)² - 2√98√50 + (√50)²
= 98 - 2√98√50 + 50
= 148 - 2√98√50
Apply radical rule √(ab) = √a√b to simplify radicals:
√98 = √(49 x 2) = √49√2 = 7√2
√50 = √(25 x 2) = √25√2 = 5√2
Therefore, 148 - 2√98√50 = 148 - (2 × 7√2 × 5√2)
= 148 - 140
= 8
-7 ÷ 2 1/2
Okay, so first, put the -7 over one and make 2 1/2 an improper fraction. so now:
-7/1 ÷ 5/2
Then, take the reciprocal of 5/2 and multiply it by -7/1
-7/1 × 5/2
Which would be -35/2
Use the formula above to find the surface area of a cylinder.
For the given cylinder the given data is the height (6mi) and diameter (16mi), use the diameter to find the radius:
Surface area:
Then, the surface area of the given cylinder is: 224π square miles
