Answer:
h = 6 units
Step-by-step explanation:
The formula for the volume of a tetrahedron is given as :
V = sh
Where
s is area of base and h is height
Put s = 8 and V = 48 to find h as follows :

So, the height of the tetrahedron is 6 units.
12/x = 52/48
12 * 48 = 52x
x = 11.07 This is one way to do it.
Let the time = x
Let the part of the lawn = y
The general equation
y = k*x
52/100 = k * 12
k = 0.043333
y = 0.043333*x
y = 0.043333* 11.08
y = 0.48 which is what it should be.
Yet another way is to let y = kx
52 = k*12
k = 52/12
k = 4.33333333
y = 4.333333 * x
y = 4.333333 * 48
48 = 4.333333 * x
x = 11.07 which is just what you should expect.
Answer:
x=3.5
Step-by-step explanation:
1. Multiply
18x-12=5x+30
2. Move the x's to one side
12x= 42
3. Isolate the variable by dividing
x=3.5
Answer:
reflection over the x-axis and a vertical compression by a factor of 8
Step-by-step explanation:
The parent function is given as

The transformed graph has equation:

The factor of 8, indicates a vertical stretch.
The negative sign indicates a reflection in the x-axis.
Therefore the transformation is a reflection over the x-axis and a vertical compression by a factor of 8.
Step-by-step explanation:
Show Solution. Start by writing the equation of the parabola in standard form. The standard form that applies to the given equation is (x−h)2=4p(y−k) ( x − h ) 2 = 4 p ( y − k ) . Thus, the axis of symmetry is parallel to the y-axis.