(-a^3b^2*-a^-2b^-3)^-2/2a^2b^-3
= a^4b^9/2a^8b^4
=b^5/2a^4
so your answer is b^5/2a^4
Answer:
The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try!
Step-by-step explanation:
Answer:
base(b)=10 and height(h)=6
Step-by-step explanation:
From the question,
base(b)=x feet
height(h)=(x-4) feet
Area(A)=30 square feet
Now,
We know,
Area of triangle(A)=1/2*b*h
or, 30=1/2*x*(x - 4)
or, 30=1/2*x^2 -4x
or, 30*2=x^2 -4x
or, 60=x^2 -4x
or, 0 = x^2 -4x -60
or, 0 = x^2 +6x - 10x -60
or, 0 = x(x + 6) -10(x + 6)
or, 0 = (x+6) (x-10)
Either,
x+6=0. or, x-10=0
or,x= -6. or, x= 10
Since, the base of the triangle can not be negative number then, x≠ -6feet but x=10feet
Lastly,
Height(h)=X - 4
=10 - 4
=6 feet
