The space diagonal will have length ...
... d = √(1² +4² +2²) = √(1 +16 +4) = √21
_____
This can be found using the Pythagorean theorem. A drawing can help. Find the length of any face diagonal, then use that length as the leg of a right triangle whose hypotenuse is the space diagonal and whose other leg is the edge length not used in the first calculation.
Answers:
Ava’s graph is a vertical translation of f(x) = x^2.
Ava’s graph moved 4 units from f(x) = x^2 in a positive direction.
Ava’s graph has a y-intercept of 4.
Given:
Ava graphs the function
.
Victor graphs the function 
To find y intercept we plug in 0 for x

= 4
So ,Ava’s graph has a y-intercept of 4.
Ava graphs the function 
If any number is added at the end then the graph will be shifted up. 4 is added at the end so there will be vertical translation.
Hence , Ava’s graph is a vertical translation of f(x) = x^2. Also Ava moved 4 units up from f(x) = x^2 in a positive y- direction.
Victor graphs the function 
If any number added with x then the graph will be shifted left. the graph will be shifted in negative x direction.
Answer:
Step-by-step explanation:
you can round the numbers
27/3= 9
27.36 rounds down to 27 and 3.14 rounds to 3
Answer:
BD = 8.8
Step-by-step explanation:
You have a right triangle.
The hypotenuse is BD
The side opposite the 27o angle is 4
Sin(27) = opposite / hypotenuse.
Sin(27) = 0.45399
opposite = 4
hypotenuse = ?
0.45399 = 4/hypotenuse
BD = 4/0.45399
BD = 8.811
The answer is 8.8
the end behavior of the function f(x)
the function f(x) must has odd number of roots ( where the graph of a function intersects the x-axis
the width cant be negative so the width of the rectangle would be 8 inches