Answer:
According to the diagram, is the polar angle (the "vertical" angle made with the positive z-axis) and is the azimuthal angle (the "horizontal" angle made with the positive x-axis), so the convention used here is to take
Then for the spherical point (1, π/4, π/2), we have the corresponding Cartesian point (x, y, z), where
Step-by-step explanation:
Answer:
y = 3x - 2
Step-by-step explanation:
The equation is linear and expressed in slope- intercept form
y = mx + c ( m is the slope and c the y- intercept )
Given (0, - 2 ) then c = - 2
Calculate the multiplier using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (1,1) ← 2 ordered pairs from the table
m = 
= 3, hence
y = 3x - 2 ← equation relating x and y
Answer:
25 ft
Step-by-step explanation:
This is a right triangle, so we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
15^2 + 20 ^2 = x^2
225+400= x^2
625 = x^2
Take the square root of each side
sqrt(625) = sqrt(x^2)
25 = x
$264.75 I like math it took 15 minutes but I got it
Answer:
p^(-9) or 1/p^9
Step-by-step explanation:
Here we have:
(5p)^(-7)
----------------
(20p)^2
Let's temporarily remove the coefficient 5/20 and reduce it to 1/4.
then we have:
1 1 1
(1/4) ------------- = (1/4) -------------- = ------------
p^7*p^2 p^(7 + 2) p^9
