Answer:
<em>Answer: B. It is a perfect square</em>
Step-by-step explanation:
<u>Radical Expressions</u>
Melissa multiplied 
and 
and got a rational number.
We are also given that a and b are both natural numbers. It means their product must be not only rational but also a natural number.
We can write that product like:
If the result is a natural number, then the product of a and b must be a perfect square. so the radical disappears.
Answer: B. It is a perfect square
We know that f(x) = 7x + 8. So, take the derivative of this function with respect to x.
This gives
f'(x) = 7
Now, you probably realized that the x value disappeared. This means that no matter what value of x you use, the derivative of this function is always going to be 7, even at x = 5. That is, the rate of change of this function is always going to be a rate of 7.
Answer:
We have been given many sequences below:
The sequence is said to be geometric if there is same ratio between consecutive terms
So we will check all the sequences one by one:
(1) 
.
Hence, geometric
(2) 
Hence, geometric.
(3) 
Hence, geometric.
(4) 
Hence, geometric.
(5) 
Ratio is not same hence, not geometric.
I saw the image that should accompany this problem.
It is a rectangular prism and the base has a right triangle with a measure of the following: long leg = 18cm ; short leg = 16cm
We need to look for the hypotenuse because it serves as the long leg of the right triangle where AG is the hypotenuse.
base triangle
a² + b² = c²
(16cm)² + (18cm)² = c²
256cm² + 324cm² = c²
580 cm² = c²
√580cm² = √c²
24 cm = c
2nd triangle: long leg = 24cm ; short leg = 16cm
(24cm)² + (16cm)² = c²
576 cm² + 256 cm² = c²
832 cm² = c²
√832 cm² = √c²
28.8 cm = c
the length of stack AG is 28.8 cm.
