Answer:
Step-by-step explanation:
z varies inversely
so z=a/x^2
9=a/(2/3)^2
9=a/(4/9)
9=9a/4
a=4
z=4/x^2
z=4/(5/4)^2
z=4/(25/16)
z=64/25
Answer:
Step-by-step explanation:
![\sqrt[4]{x} = x^{\frac{1}{4}}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7Bx%7D%20%3D%20x%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D)
we have:
![\sqrt{x} * \sqrt[4]{x}](https://tex.z-dn.net/?f=%5Csqrt%7Bx%7D%20%2A%20%5Csqrt%5B4%5D%7Bx%7D)
=
the terms have the same base (x), then we write the same base and sum the exponents:
Answer:
-6x-8
m^2y-3m
Step-by-step explanation:
For the first one we simply need to multiply both figures in the bracket by the outer number.
For the second one we do the same thing but as there is an "m" in the bracket and an "m" outside the bracket, this makes a square "^2" which is essentially a figure multiplied by itself.
To calculate the area of triangle with three sides we use Heron's formula,
Area=sqrt(s(s-a)(s-b)(s-c))
where:
s=(a+b+c)/2
thus,
s=(15+10+20)/2
=22.5
hence the area will be:
Area=sqrt(22.5(22.5-15)(22.5-10)(22.5-20))
Area=sqrt(22.5*7.5*12.5*2.5)
=sqrt5273.4375
=72.62 mm^2
