Answer:
12/13
Step-by-step explanation:
The length of the segment from the origin to the terminal point is ...
r = √((-5)² +12²) = √169 = 13
The sine of the angle is the ratio of the y-coordinate to this distance
sin(θ) = y/r = 12/13
_____
Additional comment
The other trig functions are ...
cos(θ) = x/r = -5/13
tan(θ) = y/x = -12/5
This is a 2nd-quadrant angle, where the sine is positive, but the cosine and tangent are negative.
(0,0),(2,16)
slope = (16 - 0) / (2 - 0) = 16/2 = 8
y = mx + b
slope(m) = 8
and since the line goes thru the origin, the y int is 0
in y = mx + b form, the slope is in the m position and the y int is n the b position....so ur equation is :
y = 8x + 0 which can be written as y = 8x <==
<span>Give
the solution proportion of the given number
=> x : 45 = 8 : 18
=> Let’s start solving the proportion
=> 45 * 8 = 360
=> 360 / 18 =20
Thus the answer is letter B. X = 20
let’s check if we have correct answer
=> 20 * 18 = 360
=> 360 / 45 = 8
=> 20 * 18 = 360
=> 360 / 8 = 45
Thus, we have the same answer.
</span>
Answer:
y = -1/2x + 5/2
Step-by-step explanation:
If two lines are perpendicular to each other, they have opposite slopes.
The first line is y = 2x + 3. Its slope is 2. A line perpendicular to this one will have a slope of -1/2.
Plug this value (-1/2) into your standard point-slope equation of y = mx + b.
y = -1/2x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (1, 2). Plug in the x and y values into the x and y of the standard equation.
2 = -1/2(1) + b
To find b, multiply the slope and the input of x (1)
2 = -1/2 + b
Now, add 1/2 to both sides to isolate b.
5/2 = b
Plug this into your standard equation.
y = -1/2x + 5/2
This equation is perpendicular to your given equation (y = 2x + 3) and contains point (1, 2)
Hope this helps!
