Answer:
$20.16
Step-by-step explanation:
all the costs from the trips added up is $429.84, so subtract that from $450.00 and that's the answer
4(9+7) = 36+28 = 64
open the parentheses, then simplify.
With a=5, b= -4 and c=3, the discriminant is
16-4(5)(3) = 16-60, a negative number. Thus, the roots are non-real (complex).
Answer:
The length of the shorter part of the wire is 24 centimeters.
Step-by-step explanation:
Let 
the total length of the piece of wire, where 
and 
are the perimeters of the greater and lesser squares. All lengths are measured in centimeters. Since squares have four sides of equal length, the side lengths for the greater and lesser squares are 
and 
. From statement we find that the sum of the areas of the two squares (
), measured in square centimeters, is represented by the following expression:
(1)
And we expand this polynomial below:
(2)
If we know that 
and 
, then the length of the shorter part of the wire is:
By the Quadratic Formula, we determine the roots associated with the polynomial:
, 
The length of the shorter part of the wire corresponds to the second root. Hence, the length of the shorter part of the wire is 24 centimeters.
