-x(3x-10)=8
-3x^2+10x=8 (DISTRIBUTE)
-3x^2+10x-8=0 (BALANCE TO ZERO)
(-3x+4)(x-2)=0 (FACTOR)
(-x+4/3)(x-2)=0 (SIMPLIFY)
{x=2 OR x= 4/3}
Answer: the length of the base is 290ft
The width of the base is 175 ft
Step-by-step explanation:
The base of the building is rectangular in shape.
Let L represent the length of the base of the building.
Let W represent the width of the base of the building.
The length of the base measures 60 ft less than twice the width. This means that
L = 2W - 60 - - - - - - - - -1
The perimeter of a rectangle is expressed as 2(length + width).
The perimeter of this base is 930ft. It means that
2(L + W) = 930
L + W = 930/2 = 465- - - - - - 2
Substituting equation 1 into equation 2 , it becomes
2W - 60 + W = 465
3W = 465 + 60 = 525
W = 525/3 = 175
L = 465 - W = 465 - 175
L = 290
Answer:
Step-by-step explanation:
Carter rode his bike 9/10 of a mile from his house to his grandmothers house. This means that the distance from Carter's house to his grandmother's house is 0.9 miles. On his way back home, he rode 3/8 of a mile before the tyre on his bike went flat. This means that he rode 0.375 miles before his tyre went flat. The distance he must walk before he gets home will be the total distance from home minus the distance that he rode. It becomes
0.9 - 0.375 = 0.575 miles
Answer:
upper right
Step-by-step explanation:
The net for a figure is a representation of all of the figure's faces. The polygons in the net are joined on an edge corresponding to a common edge between the faces they represent.
The given figure is a rectangular prism. Its faces are only rectangles. All nets that have triangles in the net can be eliminated from consideration.
The appropriate choice is the one attached.
