The value of x is 3.
Solution:
Length of the top rectangle = x ft
Width of the top rectangle = x ft
Height of the top rectangle = 3x ft
Volume of the top rectangle 
Volume of the top rectangle 
cubic feet
Length of the bottom rectangle = 
ft
Width of the bottom rectangle = ft
Height of the bottom rectangle = 0.5 ft
Volume of the bottom rectangle 
Volume of the bottom rectangle 
cubic feet
Total concrete for both pieces = 90 cubic feet.
Volume of top + volume of bottom = 90 cubic feet
Solve by factoring.
x = 3, 
Solve using quadratic formula,
Ignore the complex roots.
The value of x is 3.
Answer:
EY = 60
DW = 68
DE = 128
Step-by-step explanation:
Given
As YW is the perpendicular bisector of EF, then EY = FY
FY = √(FW² - YW²) = √(68² - 32²) = 60
⇒ EY = 60
As WX is the perpendicular bisector of DF, then DW = FW
As FW = 68, then DW = 68
As WZ is the perpendicular bisector of DE, then DZ = EZ = 64
Therefore, DE = DZ + EZ = 64 + 64 = 128
Answer:
Step-by-step explanation:
Answer:
The equivalent expression is c
Step-by-step explanation:
You need to factorise 4(2x-6)
So multiply 4 by the numbers in the brackets:
4*2x=8x
4*-6=-24
And the answer is 8x-24
Answer: A) Reflection along the line y = -1
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Explanation:
Point A is at (1,5). Point A' is at (1,-7).
Apply the midpoint formula to find the center of these two points.
You should get (1,-1) as that midpoint.
Follow these steps for B(-1,3) and B'(-1,-5) to get the midpoint (-1,-1)
Those midpoints we found are located on the mirror line. We only need two such points to plot it. Drawing a line through (1,-1) and (-1,-1) graphs the equation y = -1. This is the horizontal line through -1 on the y axis.
