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
Answer:
7pq( 2 + 5r)
Step-by-step explanation:
Answer:
7/8=0.875 7/20=0.35 18/20=0.9 7/8=0.875 68/50=1.36 25/20=1.25 26/25=1.04 11/10=1.1 11/16=0.6875 9/16=0.5625 33/40=0.825 23/40=0.575 14/10=1.4 29/25=1.16 39/40=0.975
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
|x - 13|
Let x =5
|5 - 13|
|-8|
Absolute value means positive
8
The answer is: 16
Explanation:
Notepads of the same color = 4 (we have 4 colors). As we have two sizes then total for the same color=4*2=8Notepads of the different colors = 4C3=4 (we should choose 3 different colors out of 4). As we have two sizes then total for the different color=4*2=8Total=8+8=16