Answer:
5 x^2 y^ (-3) z = ?
Step-by-step explanation:
We know the volume of a rectangular prism is given by
V = l*w*h
V = 2x^2 * y^-2 * ?
We are given the volume
V =10x^4 y^-5 z
Set the two equal
10x^4 y^-5 z = 2x^2 * y^-2 * ?
Divide each side by 2x^2 y^-2
10x^4 y^-5 z /2x^2 y^-2 = 2x^2 * y^-2 * ?/2x^2 * y^-2
10x^4 y^-5 z/ 2x^2 y^-2 = ?
Simplifying
10/2 * x^4/x^2 y^-5/ y^-2 z = ?
We know that a^b/ a^c = a^(b-c)
5 x^ (4-2) y^(-5 - -2) z = ?
5 x^2 y^ (-5 +2) z = ?
5 x^2 y^ (-3) z = ?
You do what I’d 9-3 , 8-0 , then combined it and you will get the right answer
Answer:
Volume = 2520 cm^3.
Step-by-step explanation:
The volume of a pyramid = 1/3 * area of the base * height.
The base of this pyramid is a triangle and its area
= 1/2 * 18 * 24 cm^2 so the volume of the pyramid is:
1/3 * 1/2 * 18 * 24 * 35
= 2520 cm^3.
we are given
system of equations
First equation is
Second equation is
now, we can find augmented matrix
now, we can change it into reduced row echelon form
step-1: multiply the 1st row by 1/3
step-2:add -3 times the 1st row to the 2nd row
step-3:multiply the 2nd row by 1/4
step-4: add 2/3 times the 2nd row to the 1st row
so, we get
Answer is (5,-8)
