Answer:
Step-by-step explanation:
step 1
Find the slope of line L
we know that
If two lines are perpendicular, then their slopes are opposite reciprocal
In this problem we have
Isolate the variable y
The slope of the given line is
so
The slope of the Line L is
step 2
Find the x-intercept of the line
The x-intercept is the value of x when the value of y is equal to zero
so
For y=0
The x-intercept is the point (5/2,0)
step 3
Find the equation of the line L
Find the equation of the line in point slope form
we have
substitute
Convert to standard form
AX +By+C
where
A is a positive integer
B and C are integers
Multiply both sides by 4
Well, split into two parts then multiply the sides and then round it to the nearest tenth.
Answer:
The function is decreasing in the following intervals
A. (0, 1)
C. (2, pi)
Step-by-step explanation:
To answer this question, imagine that you draw lines of slope m parallel to the function shown at each point.
-If the slope of this line parallel to the function is negative for those points then the function is decreasing.
-If the slope of this line parallel to the function is positive for those points then the function is increasing.
Observe in the lines drawn in the attached image. You can see that they have slope less than zero in the following interval:
(0, 1) U (2, pi)
Therefore the correct option is:
A. (0, 1)
C. (2, pi)
Answer:
There are 30 students in the class
Step-by-step explanation:
we can write a ratio as:
8:10 as 24:x
Writing this as an equation gives:
8
10
=
24
x
We can now solve for
x
while keeping the equation balanced:
10
x
×
8
10
=
10
x
×
24
x
10
x
×
8
10
=
10
x
×
24
x
x
×
8
=
10
×
24
8
x
=
240
8
x
8
=
240
8
8
x
8
=
30
x = 30