Answer:
(1) We have been given a function: 
We can rewrite it using translation is:
It is the graph of
translated 45 units left and 2 units down.
(2) Now, 
So this is the graph of
translated 5 units right and 2 units down.
(3) 
So, this is the graph of
translated 5 units left and 2 units down.
(4)
It is the graph of ![y=\sqrt[3]{x}](https://tex.z-dn.net/?f=y%3D%5Csqrt%5B3%5D%7Bx%7D)
translated 5 units left and 2 units down.
(5)
It is the graph of ![y=\sqrt[3]{x}](https://tex.z-dn.net/?f=y%3D%5Csqrt%5B3%5D%7Bx%7D)
translated 5 units left and 2 units down.
The conversion rate is 1 inch = 2.54 cm. So for this, we will have to multiply 6 times 2.54 to get the length in centimeters.
6 x 2.54 = 15.24
6 inches equals 15.24 cm.
Hope that helps!
We can write this as the difference of squares:
(5b⁸+8c)(5b⁸-8c)
To write as the difference of squares, take the square root of each term first:
√25b¹⁶ = 5b⁸; √64c² = 8c
Now we write this as a sum in one binomial and a difference in the other:
(5b⁸+8c)(5b⁸-8c)
Answer:

Step-by-step explanation:
In rectangle ABCD, AB = 6, BC = 8, and DE = DF.
ΔDEF is one-fourth the area of rectangle ABCD.
We want to determine the length of EF.
First, we can find the area of the rectangle. Since the length AB and width BC measures 6 by 8, the area of the rectangle is:

The area of the triangle is 1/4 of this. Therefore:

The area of a triangle is half of its base times its height. The base and height of the triangle is DE and DF. Therefore:

Since DE = DF:

Thus:

Since ABCD is a rectangle, ∠D is a right angle. Then by the Pythagorean Theorem:

Therefore:

Square:

Add:

And finally, we can take the square root of both sides:
