Let's call 'it' x. 1/2 is equal to one third of x, so we could say that 1/3x = 1/2
Now we just have a simple equation to solve:
1/3x = 1/2
x = (1/2) / (1/3)
Dividing by a rational number (such as 1/3, which is expressed in fraction form) is the same as multiplying by its reciprocal (the reciprocal of a fraction is itself when the numerator and denominator have been swapped). Therefore
x = (1/2) / (1/3) = (1/2) * 3 = 3/2 = 1.5
To check this answer, test the statement. Half is a third of x, where x=1.5:
1.5 / 3 = 0.5 = 1/2
Answer:
y is 1/4 when x is -1 if I did interpret your equation right. Please see that I did.
I believe the equation to be 
. If you meant 
, please let me know.
Thanks kindly.
Step-by-step explanation:
If (-1,y) lies on the graph of , then by substitution we have:
.
We just need to simplify to determine y:
Multiply the 2 and -1:
Use reciprocal rule for exponents to get rid of the negative:
just means 
:
.
So you label -20 on the number line. Then you split it into -5 and count much space is in between the <em>'split'.</em>
Answer:
0.8660
Step-by-step explanation:
cosine theta = -1/2
theta = cosinearctan(-0.5)
theta = 120
sine4theta = sine 4(120)
= sine480
= 0.8660
You need to be more specific. What did the two teachers receive, and what did Ms. Lopez receive? If you want us to help you, you have to give <em>numbers</em>.
