Answer:
Step-by-step explanation:
Volume = 198 ft
length * width * height = 198
(x - 1) * (x + 4) * 3 = 198
(x - 1) * (x + 4) = 198/3
(x - 1) * (x + 4) = 66
x*x + x*4 -1*x - 1*4 = 66 {Use FOIL method to multiply}
x² + 4x - x - 4 = 66
x² + 3x - 4 =66
x² + 3x - 4 - 66 = 0
x² + 3x - 70 = 0
Now factorize.
x² + 10x - 7x - 7*10 = 0
x(x +10) - 7(x + 10 ) = 0
(x + 10)(x - 7) = 0
x - 7 = 0 {x + 10 is ignored because measurement cannot be in negative}
x = 7
length = x - 1 = 7 - 1 = 6ft
Width = x + 4 = 7 + 4 = 11 ft
Answer:
-11/4
Step-by-step explanation:
(-8 - 3)/[3-(-1)]= -11/4
Answer/explanation
4(3x+5)=-4
You will distribute the four to every term in the parenthesis,
12x+20=-4
Then you will combine like terms
12x+20=-4
-20 -20
12x=-24
Then you will divide 12 to isolate x

Obviously, -24 cancels out and you would get x=-2
Answer:
The scale factor of a dilation from ABCD to RSTU is 
Step-by-step explanation:
We know that the rectangle ABCD is similar to rectangle RSTU.
Given that in rectangle ABCD the longest sides are DC and AB and in the rectangle RSTU the longest sides are UT and RS ⇒ The scale factor of a dilation will transform the sides DC and AB into UT and RS
Working with the lengths of the sides :
DC.(Scale factor) = UT
AB.(Scale factor) = RS
Replacing with the values of the lengths (Scale factor : SF) :


Notice that the scale factor is dimensionless.
We can verify this result with the sides AD and BC :


The scale factor (SF) is 