Answer:
The answer is B.
Step-by-step explanation:
The original graph of y = x^2 has a vertex at (0,0)
The formula for graph translations is y = (x-#)^2+#
The number inside the parentheses is a horizontal translation.
So, we are given y = (x-(-3))^2+#
The vertex of the graph moves 3 points left, since the number is negative (-3).
The number at the end of the equation is a vertical translation.
So, we are given y = (x+3)^2+4
The vertex of the graph moves 4 points up, since the number is positive (4).
The new vertex is at (-3,4)
72 1/9
0.1 recurring of the number 1 is 1/9 of the number
Let u = x², then we would have u² + 5u - 6 = 0
From here, we can factor it and get us (u-1)(u+6) = 0
So our solution for u is u = -6 or 1.
Now substitute u back to x².
x² = -6 or 1
x = ±√(-6) or ±√1
Since ±√(-6) is not real number, we ignore it.
Which leave us x = ±√1 = <span>±1
So our real solution is x = -1 or 1.</span>
Answer: Hello your question is missing some details but I will provide a general solution based on the scope of the problem and you can plugin the missing value
answer = Volume of rectangular prism box / volume of cube
Step-by-step explanation:
To determine the number of Dice that will fit in the rectangular prism box
First : calculate the volume of the cube box ( dice )
volume of a Cube box : V = L^3 where L = side length
next : calculate the volume of the rectangular prism box
volume of rectangular prism box = L * b * h
L= length , b = width , h = height
final step : Divide the volume of the rectangular prism box by the volume of the cube box ( dice )
= ( L * b * h ) / ( L^3 )
If you divide the circumference C over the radius r, you get 2pi
2pi = C/r
this is because
C = 2pi*r
is one formula to find the circumference. Another formula is
C = pi*d
which works because d = 2r, ie the diameter is twice the radius.