Answer:
x = 38
Step-by-step explanation:
using the law of logarithms
• 
x = n ⇔ x = 
, hence
(2x - 12) = 3 ⇒ 2x - 12 = 
= 64
add 12 to both sides
2x = 76 ( divide both sides by 2 )
x = 38
Answer:
4
Step-by-step explanation:
RS + ST = RT
=> 3x-8 + x = 2x
4x - 8 = 2x
Subtract 2x from both the sides,
4x - 2x - 8 = 0
2x - 8 = 0
Add 8,
2x = 8
Divide by 2,
x = 8/2 = 4
Length of line segment ST = x = 4
Question:
What are the solutions to 8<em>x</em>² − 25<em>x</em> = −24
Answer:
D.) <em>x</em> = 
<em>and </em> 
Answer:
a) clockwise sense
b) x² + y² = 1
c) y ∈ [0,1]
Step-by-step explanation:
a) x = cos (t) y = -sin (t)
for t ∈ [ 0 , 2π ]
for t = 0 point P is x = cos (0) = 1 y = -sin (0) y = 0
The point is on the x axis
Now let´s see what happens for t = π/4
x = cos (π/4) x = √2/2 and y = - sin (π/4) y = - √2/2
Note π/4 is 45°
The coordinates of the new point P ´(t = π/4) are in the fourth quadrant
that means the point is moving clockwise sense.
b) x = cos(t)
y = -sin(t)
Squaring on both sides of each equation we get:
x² = cos²t
y² = sin²(t)
Adding side by side
x² + y² = cos²t + sin²t
x² + y² = 1
Values for y are y ( 0 , 1)
An inverse function is y = k/x
replace x and y with the given values:
6 = k/18
Solve for k by multiplying both sides by 18:
k = 108
