Step-by-step explanation:
Hey there!
Follow the steps to get answer.
- Use one point formula and find 1st equation.
- After that you find the slope of second equation.
- Use the condition of perpendicular lines and find the slope of first equation.
- Put slope value of equation in equation (i) and simplify them to get equation.
The equation of a line passing through point (2,3) is;
(y-3)= m1(x-2).......(i).
Another equation is;

2nd equation..
Now, From equation (ii)
We have;
Comparing equation (ii) with y = mx+c.
We get;
Slope = -1/2.
For perpendicular lines,


Therefore the slope is 2.
Put value of slope (m1) in equation (i). We get;

Simplify them to get equation.


Therefore the required equation is y = 2x-1.
<em><u>Hope it helps</u></em><em><u>.</u></em><em><u>.</u></em>
Answer:
sec Θ = 
Step-by-step explanation:
Using the trigonometric identity
sec²Θ = tan²Θ + 1
Since 270° < Θ < 360° ← that is fourth quadrant, then
sec Θ > 0, thus
sec²Θ = (-
)² + 1 =
+ 1 =
, then
sec Θ =
= 
So you need to make out the lengths for the triangle. For the height, you can subtract the short length (100) from the longer length (1250) to get the height of the triangle. The base is the length at the very top, 75. So right now you have 150 for height and 75 for the base. Now use the formula to get 75 root 5.