Answer:
15-6x= -12-4x
15-2x= -12
-2x= -27
x= -13.5
Step-by-step explanation:
I think this is the Transitive postulate of equality.
Personally I can't see much point in giving labels to these equalities.
Answer:
w = 400
Step-by-step explanation:
2400 = lw
Divide the area by two.
2400 / 2 = 1200
Now this cannot be the answer since the length is longer than the width.
Divide 1200 by two again.
1200 = 600
Notice there are two choices that are the closest:
w = 800
w = 400
The latter choice would be the answer since again, the length is longer than width in terms of measurement
The quadratic formula is =(-b+-sqrt(b^2-4ac))/2a
as you notice the term under the square root is b^2-4ac if it is postive then the equation clearly will have two real soultions if it is negative then the equation will have two imaginary soultion if it is zero then the the equation will have one soultion
so let us calculate b^2-4ac for our given equation
x^2=4x-5 so let us write it in general form which is ax^2+bx+c=0
subtracting 4x from both sides
x^2-4x=-5
adding 5 to both sides
x^2-4x+5=0
a=1,b=-4,c=5
b^2-4ac=(-4)^2-4(1)(5)=16-20=-4
which means the equation has two imaginary soultions
