Answer:
the x axis is the one that lies flat horizontal this is called the run. the y intercept is the one that goes up and down standing. now you have to plot a dot on the line x moving toward the negative 1 and go up to y meeting up to 4 and that should give you the line to graph
Step-by-step explanation:
tan(Θ + 30°)
Use angle sum formula:
tan(A + B) = (tan A + tan B) / (1 − tan A tan B)
So we can write this as:
(tan Θ + tan 30°) / (1 − tan Θ tan 30°)
tan 30° = 1/√3, so:
(tan Θ + 1/√3) / (1 − 1/√3 tan Θ)
Multiply top and bottom by √3:
(√3 tan Θ + 1) / (√3 − tan Θ)
The problem deals with fractions comparison, lets do it:
21/30 > 2/3
we begin solving:
21 > (2/3)*30
21 > 2*10
<span>21 > 20
</span>therefore the proposed inequality is true, <span>21/30 > 2/3
You can solve as well getting same denominator for both fractions and comparing directly, in this case we need to get 2/3 to be divided by 30:
2/3 = (10/10)(2/3) = 20/30
So we have:
</span><span>21/30 > 2/3
</span>which is equal to:
<span>21/30 > 20/30
</span>and we compare directly because both fractions are divided by the same number, and we can see that the inequality is true.
To solve this you must use the rules of PEMDAS (Parentheses, Exponent, Multiplication, Division, Addition, Subtraction)
In this problem we have double parentheses. Which one should we solve first? The answer to that is always the inner most ones:
13[ 6² ÷ (5² - 4²) + 9]
5² - 4²
^^^Here you will have to first take the square of both values
25 - 16
9
13[ 6² ÷ (9) + 9]
Now for the exponents
13[ 6² ÷ (9) + 9]
6²
36
13[ 36 ÷ 9 + 9]
Now for the division:
13[ 36 ÷ 9 + 9]
36 ÷ 9
4
13[ 4 + 9]
Now for the addition
13[ 4 + 9]
4 + 9
13
13[13]
Now for multiplication
169
Hope this helped!
~Just a girl in love with Shawn Mendes
X=1
5=-4y+4
4y=-1
y=-1/4
x=2
10=-4y+4
4y=-6
y=-3/2
x=3
15=-4y+4
4y=-11
y=-11/4
