Answer:
A) -sqrt(3)/3
Step-by-step explanation:
If you know your unit circle (attached), 11pi/6 has the value of (sqrt(3)/2,-1/2), where the coords are (cosine, sine).
Tangent is sine/cosine:
(-1/2)/(sqrt(3)/2)
We can convert this to multiplication by miltiplying the reciprocal of sqrt(3)/2:
(-1/2)*(2/sqrt(3))
Multiplied out to:
-2/(2sqrt(3))
We have to rationalize this by multiplying the numerator and denominator by sqrt(3):
-2(sqrt(3))/2sqrt(3)(sqrt(3)
two of the same square roots multiplied together equals the number without the sqrt:
-2(sqrt(3))/2*3
we can factor out 2 from the numerator and denominator:
-sqrt(3)/3
Therefore, the answer is A
Answer:
do u have a picture of anything?
Step-by-step explanation:
Answer:
No solutions exist because the situation describes two lines that have the same slope and different y-intercepts.
Step-by-step explanation:
Small number = S
Number = N
N = 2S + 3
N = 2(S+1)
N = N
2S + 3 = 2(S + 1)
2S + 3 = 2S + 2
-2S -2S
3 = 2
No solutions
Therefore...
"No solutions exist because the situation describes two lines that have the same slope and different y-intercepts." is correct
Answer:
Tran's hamster is faster as it took his hamster 19 seconds which is 4 seconds faster than Maria's hamster. I know this because the data shows Maria's hamster took 19 second and Tran's took 15 seconds to run through the maze hence Maria's hamster was slower and Tran's won. You can use the calculation 19-15=4 so the difference is 4.
Answer:
B
Step-by-step explanation:
Slope of the line is -3. y-intercept is 3.
So, the rule for this line is y= - 3x+3.
The pattern of y-values that can fit is B.
y=0, x= 1
y=-3, x=2
y=-6, x=3
and so on.
