Answer: Quadrant I
Step-by-step explanation:
Since the x-axis contains the temperature in C degrees, then the temperature above 0 (meaning positive) would have to be on the right side of the x-axis. And the increase in Y is going upwards. Therefore, positive values for both X and Y are in the first Quadrant
It is trueee....... hope this helps
Answer:
Option B. Cosec θ = –5/3
Option C. Cot θ = 4/3
Option D. Cos θ = –4/5
Step-by-step explanation:
From the question given above, the following data were obtained:
Tan θ = 3/4
θ is in 3rd quadrant
Recall
Tan θ = Opposite / Adjacent
Tan θ = 3/4 = Opposite / Adjacent
Thus,
Opposite = 3
Adjacent = 4
Next, we shall determine the Hypothenus. This can be obtained as follow:
Opposite = 3
Adjacent = 4
Hypothenus =?
Hypo² = Opp² + Adj²
Hypo² = 3² + 4²
Hypo² = 9 + 16
Hypo² = 25
Take the square root of both side
Hypo = √25
Hypothenus = 5
Recall:
In the 3rd quadant, only Tan is positive.
Therefore,
Hypothenus = –5
Finally, we shall determine Sine θ, Cos θ, Cot θ and Cosec θ to determine which option is correct. This can be obtained as follow:
Opposite = 3
Adjacent = 4
Hypothenus = –5
Sine θ = Opposite / Hypothenus
Sine θ = 3/–5
Sine θ = –3/5
Cos θ = Adjacent / Hypothenus
Cos θ = 4/–5
Cos θ = –4/5
Cot θ = 1/ Tan θ
Tan θ = 3/4
Cot θ = 1 ÷ 3/4
Invert
Cot θ = 1 × 4/3
Cot θ = 4/3
Cosec θ = 1/ Sine θ
Sine θ = –3/5
Cosec θ = 1 ÷ –3/5
Invert
Cosec θ = 1 × –5/3
Cosec θ = –5/3
SUMMARY
Sine θ = –3/5
Cos θ = –4/5
Tan θ = 3/4
Cot θ = 4/3
Cosec θ = –5/3
Therefore, option B, C and D gives the correct answer to the question.
Answer:
The only thing you will do is to plug the x in the equation.
x = -2 ---> f(x) = -6
x = 0 ---> f(x) = 0
x = 3 ---> f(x) = 9
x = 7 ---> f(x) = 21
f(x) = 3x
f(-2) = <u>3(-2)</u>
f(-2) = -6
f(0) = <u>3(0)</u>
f(0) = 0
f(3) = <u>3(3)</u>
f(3) = 9
21 = 3x
<u>21 / </u><u>3</u> = <u>3x / 3</u>
7 = x
Hope this helps, thank you :) !!
Answer:
I do believe the awnser would be b. (or the second option) in not completly sure but its the awnser I came up with:)