Drawing it out, as seen, using the Pythagorean theorem we get that w^2+l^2 (with w=width and l=length)=diagonal^2=24^2+l^2=40^2. Subtracting 24^2 from both sides, we get 40^2-24^2=l^2=1024. Square rooting both sides, we get l=32. Since the perimeter is 2w+2l, we get 32*2+24*2=64+48=112
Answer:
Fill in the blank with 14
<em></em>
Step-by-step explanation:
Given
The attached table
Required
Fill in the gap
Since, the table represents a linear function.
The first step is to calculate the slope of the table

Where






The equation of the table is calculated next as:

This becomes


Solve for y


To fill in the blank;
The value of x is 4
So, substitute 4 for x in 



Answer:
only -2 is in the domain
Step-by-step explanation:
For negative values under the sqrt, there is no real answer, hence
-2x ≥ 0
only for x=-2 this is the case.
The domain represents all the valid input values for x.
Distance formula: SR (A^2+B^2)
SR [(2+9i)^2 + (2-4i)^2] =
SR [4 + 18i + 81i^2 + 4 - 8i + 16i^2] =
SR [8 + 10i + 97i^2]
7 bottles i believe, not rlly sure