Answer:
The coordinates of the verses of a quadrilateral are F(1,1) N(1,-1) R (-2,-2) and J (-2,2). Quadrilateral FNRJ is translated 4 units to the right and
Step-by-step explanation:
Answer:
384
Step-by-step explanation:
Im going to separate this into 2 shapes a square and a rectangle and add them together later
so the squares dimensions are 12 by 12
so 12*12=144
next is the rectangle so its dimensions are 12*20
so 12*20=240
240+144=384
Enjoy and good luck^^
Sub in 3 for all the x: =(3)³ - 19(3) +30
Expand the brackets: =27 - 57 + 30
Solve the equation: =0
Say you've solved it: QED
Answer:
The volume of this octahedron is approximately 3.77 cm³.
Step-by-step explanation:
The volume of a regular octahedron is given by the following formula:
Volume = (1/3)*sqrt(2)*a³
Where "a" is the length of each edge. Therefore to solve this problem we have:
Volume = (1/3)*sqrt(2)*(2)³
Volume = (1/3)*sqrt(2)*8
Volume = 3.7712 cm³
The volume of this octahedron is approximately 3.77 cm³.
The area of the wetland that will be covered in purple loosestrife 7 years from now is modeled by this expression.
500(1.2)^7
After evaluating the expression, the model predicts that approximately 1,792 acres of the wetland will be covered in purple loosestrife 7 years from now. This is not a valid prediction because the total area of the wetland is only 1,240 acres. So a constraint on the model is that the value of the expression 500(1.2)^t must be less than or equal to 1,240.