Answer:
$106.95
Step-by-step explanation:
45% = 0.45
1.00 - 0.45 = 0.55
$69 x 0.55 = 37.95
$69 + 37.95 = $106.95
A. 314 sq cm
Explanation: pi•r^2
3.14 x 10^2
3.14 x 100 =314
The slope of this line is -1 because it goes down one and to the right one
Answer:
The coordinates are 
and 
.
Step-by-step explanation:
First, we have to derive an expression for translation under the assumption that each point of XYZ experiments the same translation. Vectorially speaking, translation from X to X' is defined by:
(1)
Where 
is the vector translation.
If we know that 
and 
, then the vector translation is:
Then, we determine the coordinates for Y' and Z':
The coordinates are and .
<span>The vertex of the parabola is the highest or lowest point of the graph.
</span><span>y=-4x^2+8x-12 = -4 (x^2 -2x +3)
Lets work with this now: </span>x^2 -2x +3
x^2 -2x +3 -> what is the closeset perfect square?
x^2 -2x +1 = (x-1)^2
So
x^2 -2x +3 = (x-1)^2 +2
Replacing to original
y=-4x^2+8x-12 = -4 (x^2 -2x +3) = -4 ((x-1)^2 +2) = -4 (x-1)^2 - 8
The min or max point is where the squared part = 0
So when x=1 , y= -4*0-8=-8
This will be the max of the parabola as there is - for the highest factor (-4x^2)
The max: x=1, y= -8
