Answer:

5 StartRoot 10 EndRoot
Step-by-step explanation:
we know that
The legs of a 45°-45°-90° triangle are congruent
Let
x ----> the length of one leg of the triangle
Applying the Pythagorean Theorem

where
c is the hypotenuse
a and b are the legs
we have


substitute


Simplify

5 StartRoot 10 EndRoot
<span>An oblong box has a volume equal to lwh, where l is the length, w is the width, and h is the height. If the volume is 24 cubic feet, solve for the height in terms of the other sides.
Given:
volume of 24 cubic feet
Required:
height
Solution:
V = 24 cubic feet
assume that the length, weight and height of the box are all equal
so l = w = h
24 = l^3
l = 2.88 feet</span>
To get the average rate of change (ARC) of f(x) over [x1, x2], we use the formula:
ARC = ( f(x2) - f(x2) ) / (x2 - x1)
From the graph
f(2) = 4
f(-2) = 4
Plugging in the values into the formula:
ARC = (4 - 4) / (2 - (-2) )
ARC = 0
The points connecting (-2,4) amd (2,4) is a horizontal line that is the rate of change is 0.
Answer:
option: B is correct
A reflection across line n followed by a 270° rotation about point P.
Step-by-step explanation:
Clearly from the figure we could see that the graph is first reflected across the given line n such that we obtain the figure R'S'T'V'U' and then it is rotated 270° across the point P so that we obtain the figure R"S"T"U"V".
Hence, option B is correct.
( A reflection across line n followed by a 270° rotation about point P )