Answer:
5 11/12
Step-by-step explanation:
First convert the mixed number into an improper fraction: 31/6
Find a common denominator:
18/24 and 124/24
124/24+ 18/24 is 142/24 and that is the same as 5 11/12
Hopefully this helps and you can have a lovely day!
Every point in the unit circle is identified either by its coordinates
or by the angle it forms with the x-axis,
.
The trigonometric functions associate with every angle
and the correspondant
coordinates the two values

This procedure can be done for every angle
, so you don't have to work with acute angles only.
Step-by-step explanation:
f(x) = (3/2)ˣ
g(x) = (2/3)ˣ
These are examples of exponential equations:
y = a bˣ
If b > 1, the equation is exponential growth.
If 0 < b < 1, the equation is exponential decay.
So f(x) is an example of exponential growth, and g(x) is an example of exponential decay.
Also, 2/3 is the inverse of 3/2, so:
g(x) = (3/2)^(-x)
So more specifically, f(x) and g(x) are reflections of each other across the y-axis.
Hello
<span>an equation for the line in point-slope form and general form is :
y = ax+b a : </span>slope ; the <span>Passing through (x' ; y')
</span>y' = ax'+b
y-y' =a(x-x') and : x' =2 y' = - 1
calculate a :
let : y = ax+b .....(D)
....<span>3y-x=7</span>....(D') or y = (1/3)x+7/3
.(D) perpendicular to(D') : slope (D) × slope (D') = -1
slope (D') = 1/3
slop(D)×(1/3) = -1
slope (D) = -3
equation for the line : y-y' =a(x-x')
y+1 =(-3) (x-2)
Answer:
-1/16
Step-by-step explanation:
Put the values where the variables are and do the arithmetic.
1 to any power is 1, so you can ignore all of the 'a' factors. That leaves ...
1/(2b^3) = 1/(2(-2)^3) = 1/(2(-8)) = -1/16
___
A calculator can help you figure this out.