The answer to 2 is <span>√30/5 or 1.09545
First, you multiply the numerator and denominator by </span>√5.
√6x<span>√5=√30
</span>√5x<span>√5=5 (when a square root of an expression is multiplied by itself, the result is that expression) Therefore, the answer is </span><span>√30/5 or 1.09545
</span>
8x + 2y = 44
5x + 2y = 35
Since 2y is already common, there is no need for multiplication. Just reverse the signs on the equation.
Like this;
8x + 2y = 44
-5x - 2y = -35
All the additions become subtractions and vice versa.
-2y and +2y get cancelled.
Leaving;
8x = 44
-5x = -35
Now, subtract again.
8x - 5x = 3x
44 - 35 = 9
So;
3x = 9
x = 9 / 3
x = 3
We found 'x' and now we have to find 'y'.
Just substitute.
[8 x 3] + 2y = 44
24 + 2y = 44
2y = 44 - 24
2y = 20
y = 20 / 2
y = 10
Now, we re-check;
[8 x 3] + [2 x 10] = 44
24 + 20 = 44
Explaining the error for #9b is simply doing the whole sum.
Hope this helped! :) I tried my best to explain.
Answer:

Step-by-step explanation:
we know that
Applying the Pythagoras Theorem

solver for x



Given:
The inequalities are:


To find:
The integer values that satisfy both inequalities.
Solution:
We have,


For
, the possible integer values are
...(i)
For
, the possible integer values are
...(ii)
The common values of x in (i) and (ii) are

Therefore, the integer values -1, 0 and 1 satisfy both inequalities.
Answer:
The height of the second prism is 12 units.
Step-by-step explanation:
First, we must know that the volume of a rectangular prism is equal to length x width x height. With this information, we can multiply the given dimensions of the first rectangular prism to get a volume of 2700 cubic units. From here, we must understand wha we need from the second rectangular prism. Because it has a square base of 15, that accounts for both its width and length. Therefore, we have that
