Answer:
10
Step-by-step explanation:
We want to find k when y=kx
2y = 20x
Divide each side by 2
2y/2 =20x/2
y = 10x
The constant of proportionality is 10
Answer:
3, 15, 14
Step-by-step explanation:
x + 5x + ( 5x -1) = 32
11x - 1 = 32
11x = 32 + 1
11x = 33
11x/11 = 33/11
x = 3
therefore
the first number is 3
the second is 5 × 3 = 15
the third number is 15 - 1 = 14
By definition, the arc length is given by:
arc = R * theta * ((2 * pi) / 360)
Where,
theta: angle in degrees
R: radio
We have then:
(Arc) QPT if <QZT = 120:
theta = 360-120 = 240 degrees
R = 13.5 units
Substituting values we have:
(Arc) QPT = R * theta * ((2 * pi) / 360)
(Arc) QPT = (13.5) * (240) * ((2 * pi) / 360)
(Arc) QPT = 56.55 units
Answer:
(Arc) QPT = 56.55 units
Answer:
Step-by-step explanation:
Answer:
is parallel to 
Step-by-step explanation:
<h3>
The complete exercise is: "Is
parallel, perpendicular or neither to 
?
"</h3><h3 />
The equation of the line in Slope-Intercept form is:

Where "m" is the slope of the line and "b" is the y-intercept.
First, in order to solve this exercise it is important to remember that, by definition:
1. The slopes of parallel lines are equal.
2. The slopes of perpendicular lines are negative reciprocal.
In this case, you have the following line given in the exercise:
You can identify that "m" and "b" are:

And the other line provided in the exercise is this one:

So, you can identify that:

As you can notice, the slopes of both lines are equal; therefore, you can conclude that those lines are parallel.