Answer:
5√2
Step-by-step explanation:
√8 + √18
We first have to find what is the largest perfect square that goes into √8:
4 is the largest, so therefore → √8 gives you 2√2:
Work: √4 * √2 → 2 * √2 → 2√2
Now we have to find what is the largest perfect square that goes into √18:
9 is the largest, so therefore → √18 gives you 3√2:
Work: √9 * √2 → 3 * √2 → 3√2
Because 2√2 and 3√2 have the same "base" of √2, they can be added together:
2√2 + 3√2 = 5√2 (The "bases" are to be left alone!)
Answer:
2
Step-by-step explanation:






This implies
x+2=4
and
-(x+2)=-4.
x+2=4 implies x=2 since subtract 2 on both sides gives us x=2.
Solving -(x+2)=-4 should give us the same value.
Multiply both sides by -1:
x+2=4
It is the same equation as the other.
You will get x=2 either way.
Let's check:


Put both sides into your calculator and see if you get the same thing on both sides:
Left hand side gives 256/81.
Right hand side gives 256/81.
Both side are indeed the same for x=2.
Answer:

Step-by-step explanation:
<u>Density</u>
The density of an object of mass m and volume V is given by

It can be expressed in common units like
or any other combination of proper mass [M] by volume [V] units.
The data provided in the question is


Thus, the measured density is


We have expressed the result with 1 decimal place because the mass was measured to the nearest hundred milligrams (or one-tenth grams). Any further decimal is senseless because that precision comes from calculations, not from measurements.
Answer: ![t\in [\dfrac{1}{4},2]](https://tex.z-dn.net/?f=t%5Cin%20%5B%5Cdfrac%7B1%7D%7B4%7D%2C2%5D)
Step-by-step explanation:
Given
Inequality is 
Taking variables one side

Using wavy curve method
![t\in [\dfrac{1}{4},2]](https://tex.z-dn.net/?f=t%5Cin%20%5B%5Cdfrac%7B1%7D%7B4%7D%2C2%5D)