![\bf 2sec^2(\theta )-tan(\theta )-3=0 \\\\\\ 2[1+tan^2(\theta )]-tan(\theta )-3=0\implies 2+2tan^2(\theta )-tan(\theta )-3=0 \\\\\\ 2tan^2(\theta )-tan(\theta )-1=0\implies [2tan(\theta )+1][tan(\theta )-1]=0\\\\ -------------------------------\\\\](https://tex.z-dn.net/?f=%5Cbf%202sec%5E2%28%5Ctheta%20%29-tan%28%5Ctheta%20%29-3%3D0%0A%5C%5C%5C%5C%5C%5C%0A2%5B1%2Btan%5E2%28%5Ctheta%20%29%5D-tan%28%5Ctheta%20%29-3%3D0%5Cimplies%202%2B2tan%5E2%28%5Ctheta%20%29-tan%28%5Ctheta%20%29-3%3D0%0A%5C%5C%5C%5C%5C%5C%0A2tan%5E2%28%5Ctheta%20%29-tan%28%5Ctheta%20%29-1%3D0%5Cimplies%20%5B2tan%28%5Ctheta%20%29%2B1%5D%5Btan%28%5Ctheta%20%29-1%5D%3D0%5C%5C%5C%5C%0A-------------------------------%5C%5C%5C%5C)
bear in mind that tangent is sine/cosine or y/x
for the tangent to be negative, the signs of "y" and "x" must differ, and that happens only on the II and IV quadrants
and for the tangent to be positive, the signs must be same, and that's only on I and III quadrants.
Answer:
The answer to your question is:
Step-by-step explanation:
1.-
Data
3.3 x 10 ⁴ pounds of paper
1.5 x 10³ pounds of aluminum
Amount of aluminum / amount of paper = 1.5 x 10³ / 3.3 x 10⁴
= 0.045 times
= 4.5 x 10 ⁻²
2.-
Data
1.2 x 10 ³ text messages in a month
text messages in a year = ?
1.2 x 10³ text messages ------------------- 1 month
x ------------------- 12 months
x = (12 x 1.2 x 10³) / 1
x = 14400 text messages
x = 1.44 x 10⁴ text messages
3.-
Data
distance = 4 x 10⁶ miles I am not sure if the power is 6 or 8
speed = 1.6 x 10³ mi/h
Formula
time = distance / speed
time = 4 x 10⁶ / 1.6 x 10³
time = 2500 h
time = 2.5 x 10 ³ h
Find gradient by changing form of equation: y = 2/3x + 4. Gradient is 2/3.
Find y intercept of other line by substituting the coordinates: -8/3
Use information to write out equation of line: y= 2/3x - 8/3
Convert to standard form: -2x + 3y = 8.
Hope this helps :)
Answer:
(4, -3)
Step-by-step explanation:
When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is changed to the opposite sign.
The reflection of the point (x, y) across the x-axis is the point (x, -y).
