Looking at the numbers, we can see that the differences are 72, 36, and 18. Notice that they are each factors of the next by the same constant 2.
18 * 2 = 36
36 * 2 = 72
There, it means that 18/2 will be subtracted from 20.
20 - 18/2
= 20 - 9
= 11
The next number in the sequence would be 11. Hope this helps!
Answer:
D.) 5
Step-by-step explanation:
5 is the constant proportionality in the equation; y = 5 x
have a nice day.
3x + 6
distribute the 3 to both of the places in the parentheses.
The function is modulus cause the range of function consists of non-negative numbers with the same magnitude.so the second one is the answer
a) The equation of line k is:

b) The equation of line j is:

The equation of a line, in <u>slope-intercept formula</u>, is given by:

In which:
- m is the slope, which is the rate of change.
- b is the y-intercept, which is the value of y when x = 0.
Item a:
- Line k intersects line m with an angle of 109º, thus:

In which
and
are the slopes of <u>k and m.</u>
- Line k goes through points (-3,-1) and (5,2), thus, it's slope is:

- The tangent of 109 degrees is

- Thus, the slope of line m is found solving the following equation:






Thus:

It goes through point (-2,6), that is, when
, and this is used to find b.





Thus. the equation of line k, in slope-intercept formula, is:

Item b:
- Lines j and k intersect at an angle of 90º, thus they are perpendicular, which means that the multiplication of their slopes is -1.
Thus, the slope of line j is:


Then

Also goes through point (-2,6), thus:



The equation of line j is:

A similar problem is given at brainly.com/question/16302622