Answer:
5
Step-by-step explanation:
To find the distance between two points, use the distance formula, 
. The 
and 
represent the x and y values of one point, while the 
and 
represent the x and y values of another point. Thus, substitute the x and y values of the given points into the appropriate places of the formula and solve:
Thus, the distance is 5 units.
<span>The answer is 29√5.
</span>
Since 11√45 and 4√5 do not share a common radical, you cannot subtract them. By looking at the equation, you can see that 11√45 is not fully simplified yet by the 45 within the square root.
Breaking it up into squares, you can find that 3 x 3 x 5 = 45, which can be translated into 3<span>² x 5</span>. Since the 3 is a square component in the 45, you can now extract it. Extract the 3 by dividing it from the 45 within the square root and multiplying it into the 11.
Your result is a 33√5, which shares a common radical with 4√5. You can now subtract 33√5 and 4√5, which is 29√5.
Side note: I noticed you got the answer wrong because you chose 7√40. I presume it's because you subtracted the components individually. I suggest that you look up lessons about simplifying radicals, along with adding and subtracting them. Hope this helps!
The answer is 16 because 16 is 2/3 of 24
It's not 8 because that's only 1/3
Answer:
Option a. The graph of g(x) is the graph of f(x) stretched vertically.
Step-by-step explanation:
If we draw a graph of f(x) = |x| and g(x) = 3|x| and we compare them
we find that g(x) is stretched vertically.
Now we will check it from both the graphs.
For graph y = |x|
for x = 4
y = 4
But for second graph which is y = 3|x|
for x value = 4
y = 12
Therefore for y values graph g(x) got stretched vertically.
Hence option a. is correct.
Answer:
<h2>x = -7 or x = 1</h2>
Step-by-step explanation:
