From the figure, we immediately have
cos(θ) = 8/17
sin(θ) = 15/17
By definition of tangent,
tan(2θ) = sin(2θ)/cos(2θ)
Recall the double angle identities:
sin(2θ) = 2 sin(θ) cos(θ)
cos(2θ) = cos²(θ) - sin²(θ) = 2 cos²(θ) - 1
Then
tan(2θ) = (2 sin(θ) cos(θ)) / (2 cos²(θ) - 1)
tan(2θ) = (2 × 15/17 × 8/17) / (2 × (8/17)² - 1)
tan(2θ) = -240/161
Answer:
x + 5y = 30
x + 5(0) = 30
x1 = 30 y1 = 0
x + 5y = 30
1(0) + 5y = 30
y2 = 6 x2 = 0
(x1,y1) and (x2,y2)
(30,0) and (0,6)
Step-by-step explanation:
Answer:
Distribute
Subtract
two from both sides of the equation
Simplify
and that's your solution
which should be t=4
Step-by-step explanation:
Line 1 and Line 4 are parallel lines
Solution:
General equation of a line:
y = mx + c
where m is the slope and c is the y-intercept of the line.
<u>To find the slope of each line:</u>
Line 1: 
Slope 
Line 2: 
Add 7 on both sides, we get
Slope 
Line 3: 
Slope 
Line 4: 
Subtract x from both sides, we get
Multiply by 
on both sides, we get
Slope 
<em>Two lines are parallel, if their slopes are equal.</em>
From the above slopes,
Therefore Line 1 and Line 4 are parallel lines.
Answer:
A set of parametric equations for the line y = 4x - 5 is;
x = t
y = 4t - 5
Step-by-step explanation:
To find a set of parametric equations for the line y = 4x - 5;
We can assign either variable x or y equal to the parameter t, in this case we can easily let x = t
We then substitute x = t in the original equation;
y = 4t - 5
Therefore, a set of parametric equations for the line y = 4x - 5 is;
x = t
y = 4t - 5
