-- 24 is a factor of itself and every multiple of 24 .
There are an infinite number of them.
-- 24 is a multiple of each of its factors.
The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24 .
Step-by-step explanation:
Start at 5 on the y axis then for the next point go up 3 and 8 to the right
You're given that φ is an angle that terminates in the third quadrant (III). This means that both cos(φ) and sin(φ), and thus sec(φ) and csc(φ), are negative.
Recall the Pythagorean identity,
cos²(φ) + sin²(φ) = 1
Multiply the equation uniformly by 1/cos²(φ),
cos²(φ)/cos²(φ) + sin²(φ)/cos²(φ) = 1/cos²(φ)
1 + tan²(φ) = sec²(φ)
Solve for sec(φ) :
sec(φ) = - √(1 + tan²(φ))
Given that cot(φ) = 1/4, we have tan(φ) = 1/cot(φ) = 1/(1/4) = 4. Then
sec(φ) = - √(1 + 4²) = -√17
Answer:
x² - 20 = 0
Using the quadratic formula
a = 1 b = 0 c = -20
So we have
Hope this helps you.
