Answer:
x²-6x+y²-4y=-4
Step-by-step explanation:
We know the circle equation stands like this:
(x-a)² + (y-b)² = R²
and (a,b) is center
and R stands for Radius
so in this case:
center = (3,2)
R = 3
So
(x-3)² + (y-2)² = 9
x²-6x+9 + y²-4y+4=9
x²-6x+y²-4y=-4
Answer: 0.19
Step-by-step explanation: Rounding to the nearest cent is the same as rounding to the nearest hundredth
Answer:
C=$(4.30xy+5.40(xz+yz))
Step-by-step explanation:
Surface Area of a Cuboid=2(LW+LH+HW)
Since the top is open
Surface Area = LW+2(LH+HW)
If Length = x feet,
Width =y feet
Height = z feet
Surface Area = xy+2(xz+yz)
Area of the base=xy
If it costs $4.30 per square foot to build the base
Cost of the base=Cost Per Square Foot X Area = $4.30xy
Area of the sides =2(xz+yz)
If it costs $2.70 per square foot to build the sides
Cost of the sides=Cost Per Square Foot X Area of the sides
= 2.70 X 2(xz+yz)
=5.40(xz+yz)
Cost of Constructing the Box = Cost of Constructing the Base + Cost of Constructing the Sides.
Therefore,
C=$(4.30xy+5.40(xz+yz))
Answer:
64p⁶q⁶/27
Step-by-step explanation:
(4p⁴q⁴/3p²q²)³
= (4p²q²/3)³
= 64p⁶q⁶/27
Answer:
The function with blue line (see attachment) represents the graph of 
after it is translated 3 units down.
Step-by-step explanation:
Mathematically speaking, a translation in the y-direction is defined by the following expression:
(1)
Where:
- Resulting function.
- Original function.
- Translation factor (
- Translation in the +y direction/
- Translation in the -y direction).
If we know that original function is translated 3 units down and , then the resulting function is:
Lastly, we graph both original and resulting functions with the help of a graphing tool, whose outcome is presented in the image attached below:
Please notice that the red line represents the original function, whereas the blue line represents the resulting function.
