Answer:

Step-by-step explanation:
Given
Points:


Required
Determine the equation of line that is perpendicular to the given points and that pass through 
First, we need to determine the slope, m of FG

Where
--- 
--- 



The question says the line is perpendicular to FG.
Next, we determine the slope (m2) of the perpendicular line using:


The equation of the line is then calculated as:

Where





Multiply through by 2

Add x to both sides


Hence, the line of the equation is 
Answer:
6√3
Step-by-step explanation:
Use the sin formula, which is sin = opp / hyp
sin 60 = x / 12
x = 12 sin 60
x = 6√3
The correct answer is option B which is
.
<h3>What is trigonometry?</h3>
Trigonometry is the branch of mathematics which set up a relationship between the sides and angle of the right-angle triangles.
Given that:-

The value of cot theta will be calculated as:-
We know that sec theta is the ratio of hypotenuse and base and cot theta is the ratio of base and perpendicular so we will find the value of perpendicular by applying the Pythagorean theorem.
H² = P² + B²
P² = H² - B²
P² = 25² - 24 ² = 49
P = √49 = 7
Now the value of cot theta will be calculated as:-

Therefore the correct answer is option B which is
.
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Answer:
h(x) = x/2 + 5
Step-by-step explanation:
f(x) = 2x - 10
Step 1. Replace f(x) with y.
y = 2x - 10
Step 2. Switch variables x and y.
x = 2y - 10
Step 3. Solve for y.
2y - 10 = x
2y = x + 10
y = x/2 + 5
Step 4. Replace y with h(x)
h(x) = x/2 + 5