Answer:
The equation of line in the form of Ax + By = C is: 
Step-by-step explanation:
We need to find the equation of line, having slope m = -4 and passes through point (-2,-9)
First we need to find slope and y-intercept of the line.
The slope is given i.e. m = -4
Now, we need to find the y-intercept
Using the point (-2,-9) and slope m = -4, y-intercept can be found using:
Now, the equation of required line having slope m = -4 and y-intercept b = -17 is:
Now writing in form of Ax + By = C
So, the equation of line in the form of Ax + By = C is: .
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:
AB = 8.857 cm
Step-by-step explanation:
Here, we are given a <em>right angle</em> 
in which we have the following things:
Side <em>BC </em>is the hypotenuse here.
We have to find the side <em>AB</em>.
Trigonometric functions can be helpful to find the value of Side AB here.
Calculating 
:
Sum of all the angles in is 
.
We know that <em>cosine </em>of an angle is:
So, side AB = 8.857 cm
.
Answer: 0.343
Step-by-step explanation:
Probability of college students that say they have a job = 70%
Number of randomly selected college students = 3
The probability that 3 randomly selected college students say they have a job will be:
= (70/100)³
= 0.7 × 0.7 × 0.7
= 0.343
According to the euclidean triangle theorem
9 = z² / 13
z² = 9 x 13 = 117
z = 3 √13
