Answer:
4x^2-81y^2 is NOT a perfect square trinomial, factored. You know this because if you factor this to (2x+9y)(2x-9y) then you will see that the signs between terms in the parenthesis are DIFFERENT.
Step-by-step explanation:
Taking notes as you go through the course will help you retain and process the information much better than getting "help" from a site that is probably badly named.
Answer:
520
Step-by-step explanation:
If this answer helped you then please consider marking this as brainliest and like this respone :)
Answer: The correct option is, (B) Addition property
Step-by-step explanation:
- Addition property : In this property, whatever is added to one side of the equal sign must be added to the other side.
For example : If x = y then x + z = y + z
- Multiplication property : In this property, whatever is multiplied to one side of the equal sign must be multiplied to the other side.
For example : If x = y then x × z = y × z
- Transitive property : If one value (x) is equal to the another value (y), which is equal to the another value (z), then the first value (x) is equal to the third value (z).
For example : If x = y and y = z then x = z
The given inequality expression is,
5x - 9 < 91
5x -9 + 9 < 91 + 9
(Using Addition property because we are adding 9 on both the side)
5x < 100
5x ÷ 5 < 100 ÷ 5
(Using Division property because we are dividing by 5 on both the side)
x < 20
Therefore, addition property is used in the second step of solving the inequality.
Answer:
d. 210
Step-by-step explanation:
First four distinct prime numbers = 2,3,5,7
2×3×5×7 = 210
HOPE IT HELPS!!
Answer:
![h = \sqrt[3]{\frac{49V}{4}}](https://tex.z-dn.net/?f=h%20%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7B49V%7D%7B4%7D%7D)
Step-by-step explanation:
Represent the volume of the box with V and the dimensions with l, b and h.
The volume (V) is:

Make h the subject of the formula

The surface area (S) of the aquarium is:

Where lb represents the area of the base (i.e. slate):
The cost (C) of the surface area is:



Substitute
for h in the above equation



Differentiate with respect to l and with respect to b


To solve for b and l, we equate both equations and set l to b (to minimize the cost)


By comparison:

becomes

Cross Multiply

Solve for l

![l = \sqrt[3]{\frac{2V}{7}}](https://tex.z-dn.net/?f=l%20%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7B2V%7D%7B7%7D%7D)
Recall that: 
![b = \sqrt[3]{\frac{2V}{7}}](https://tex.z-dn.net/?f=b%20%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7B2V%7D%7B7%7D%7D)
Also recall that:

![h = \frac{V}{\sqrt[3]{\frac{2V}{7}}*\sqrt[3]{\frac{2V}{7}}}](https://tex.z-dn.net/?f=h%20%3D%20%5Cfrac%7BV%7D%7B%5Csqrt%5B3%5D%7B%5Cfrac%7B2V%7D%7B7%7D%7D%2A%5Csqrt%5B3%5D%7B%5Cfrac%7B2V%7D%7B7%7D%7D%7D)
![h = \frac{V}{\sqrt[3]{\frac{4V^2}{49}}}](https://tex.z-dn.net/?f=h%20%3D%20%5Cfrac%7BV%7D%7B%5Csqrt%5B3%5D%7B%5Cfrac%7B4V%5E2%7D%7B49%7D%7D%7D)
Apply law of indices
![h = \sqrt[3]{\frac{49V^3}{4V^2}}](https://tex.z-dn.net/?f=h%20%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7B49V%5E3%7D%7B4V%5E2%7D%7D)
![h = \sqrt[3]{\frac{49V}{4}}](https://tex.z-dn.net/?f=h%20%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7B49V%7D%7B4%7D%7D)
The dimension that minimizes the cost of material of the aquarium is:
![h = \sqrt[3]{\frac{49V}{4}}](https://tex.z-dn.net/?f=h%20%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7B49V%7D%7B4%7D%7D)