Step-by-step explanation:
-3(-x -3y) = 3( x +3y) = 3x+9y
Answer:
46.125 square feet or sq. feet.
Step-by-step explanation:
The rug is shaped like a parallelogram with a base of feet. and a height of feet.
Now, the area of a parallelogram is given by the product of one side as the base and the perpendicular distance of that side from the opposite parallel side as height.
Now, the area of the given parallelogram is (20.5 × 2.25) = 46.125 square feet. (Answer)
Answer:
Third option: and
Step-by-step explanation:
Given:
For a modulus function, if , then,
Here, ,
∴
Therefore, the third option is the correct answer as the graph has values as -2 and 2
x2+y2−2x−80=0
Write the problem as a mathematical expression.x2+y2−2x−80=0
Add 80 to both sides of the equation. x2+y2−2x= 80 Complete the square for x2− 2x. Tap for more steps...(x−1)2−1 Substitute (x−1)2−1 for x−2x in the equation x2+y2−2x =80 .(x−1)2−1+y2=80 Move −1 to the right side of the equation by adding 1 to both sides.(x−1)2+y2=80+1Add 80 and 1.(x−1)2+y2=81
This is the form of a circle. Use this form to determine the center and radius of the circle.(x−h)2+(y−k)2=2Match the values in this circle to those of the standard form. The variable r represents the radius of the circle, h represents the x-offset from the origin, and k represents the y-offset from origin.r=9h=1k=0 The center of the circle is found at (h,k). Center: (1,0)These values represent the important values for graphing and analyzing a circle. Center: (1,0)Radius: 9