we are given
absolute value of 2 and 2 3rd and negative 9 over 4
Firstly , we need write it in terms of expression
2 and 2 3rd is

so, we get as

now, we can simplify it
Firstly , we will find common denominator


we can see that
all denominators are same
so, we can combine numerators


..............Answer
You had the right idea using the Pythagorean theorem to solve for b.
Problem is for that triangle to work, the 5 and the 2√2 would have to switch places. The length of a leg cannot be larger than the length of the hypotenuse for it to truly be a right triangle.
Pythagorean theorem only works for the right triangles. Only way to "solve this problem would be to bring in complex numbers.
5² + b² = (2√2)²
25 + b² = 2²(√2)²
25 + b² = 4(2)
25 + b² = 8
b² = 8 - 25
b² = - 17
b = √-17
b= (√17i)
Then the problem with THIS is a measurement/distance cannot be negative... which goes against exactly what that complex number i is.
Answer:
Yes
Step-by-step explanation:
Multiplying an integer by 0.01 is the same as Dividing such as :
0.01 = 10^-2
100= 10
For instance :
A number, n = 5 is multiplied by 10^-2
5 * 0.01 = 0.05
Thus, divide the number, n by 100;
5 / 100 = 0.05
Hence, the proof.
Answer: d. 512
Step-by-step explanation:
You need to remember that:
![(\sqrt[3]{x})^3=x](https://tex.z-dn.net/?f=%28%5Csqrt%5B3%5D%7Bx%7D%29%5E3%3Dx)
Then, given the equation:
![\sqrt[3]{n}=8](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bn%7D%3D8)
You can find the value of "n" that make the equation true, by solving for "n".
So, to solve for "n", you need to raise both side of the equation to power 3. Therefore, you get:
![\sqrt[3]{n}=8](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bn%7D%3D8)
![(\sqrt[3]{n})^3=(8)^3](https://tex.z-dn.net/?f=%28%5Csqrt%5B3%5D%7Bn%7D%29%5E3%3D%288%29%5E3)

Then, the value of "n" that makes the equation
true is: 512 (You can observe that this matches with the option d).
Answer:
D. The scuba diver was 35 meters below the surface of water at the start of the ascent.
Step-by-step explanation:
The y-intercept of the graph representing the scuba's driver ascent to the surface is -35.
This represents the starting level below the surface of the water.
✅-35, means that the driver was 35 meters below the surface of water at the start of the scuba's ascent to the surface.