Final result :
4x3yz2 • (3x - 2y2)
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "z2" was replaced by "z^2". 4 more similar replacement(s).
Step by step solution :
Step 1 :
Equation at the end of step 1 :
(((12•(x4))•y)•(z2))-((23x3•y3)•z2)
Step 2 :
Equation at the end of step 2 :
(((22•3x4) • y) • z2) - 23x3y3z2
Answer:
6 gallons
Step-by-step explanation:
30-----------4
45------------x
30x = 45x4
30x=180
x=6
A shortcut:
45 is ( 30+ half of 30)
( 4 + half of 4) = 4+2 =6
Answer:
x = 60°
Step-by-step explanation:
Use special triangles.
Starting with an equilateral triangle (all angles at 60°) with the side length of 2. Drop an altitude from one of the vertices to cut in half and make a right - triangle.
The hypotenuse length is 2. The base length, because it was cut in half, is 1. The height can be found with the Pythagorean theorem, which is √3.
The ratio for tangent is opposite over adjacent.
Since √3 = √3 / 1, the angle must be the one as marked in the picture.
Remember this triangle came from an equilateral triangle, so that angle is 60°. It was not cut in half, unlike the top angle which is 30°.
Originally, the graph is at 0,0 but in the picture it has been moved down one and right 6 to -1, 6
so that means it's now the square root of x-1 -6