Answer:
y = 3x - 6
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = 
with (x₁, y₁ ) = (0, - 6) and (x₂, y₂ ) = (2, 0) ← 2 points on the line
m =
=
=
= 3
the line crosses the y- axis at (0, - 6 ) ⇒ c = - 6
y = 3x - 6 ← equation of line L
Your answer would be
70a + 21b
Answer:
Step-by-step explanation:
Here the region between two curves is rotated about a vertical line.
The functions are
![y = sin^2x, \\y = sin^4x, \\x in [0,[pi]/2].](https://tex.z-dn.net/?f=y%20%3D%20sin%5E2x%2C%20%5C%5Cy%20%3D%20sin%5E4x%2C%20%5C%5Cx%20in%20%5B0%2C%5Bpi%5D%2F2%5D.)
Intersecting points are x=0 and x =pi/2
Since rotated about x = pi/2 we get
using cylindrical shell method
Volume = 
From wolfram alpha we find that
Volume= 
Step-by-step explanation:
domain XER\{2kπ},kE
Step-by-step explanation:
5⁵/5⁸
= 5^5-8
= 5^-3
or
(-5)×(-5)×(-5)
= -125
By the law
a^m÷ a^n = a^m-n