Answer:
-2? maybe
Step-by-step explanation:
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:
1st to 4th: Sam, Cras, Randy, Charte
Step-by-step explanation:
The places are determined by putting the times in increasing order.
<u>time</u>, <u>place</u>, <u>name</u>
25.85, 1st place, Sam
25.90, 2nd place, Cras
32.20, 3rd place, Randy
32.28, 4th place, Charte
_____
<em>Additional comment</em>
Sometimes it is easier to compare values when they all have the same number of decimal places.
Answer:
8) answer=5 9)answer=15
Step-by-step explanation:
all you have to do is replace in the following formula

Where
X1: is the first number of the first point
Y1: is the second number of the first point
X2: is the first number of the second point
Y2: is the second number of the second point
you replace in the formula and solve
I attach solution
Answer:
60
Step-by-step explanation:
Is because when you have two negative -- signs it became positive
19 + 41 = 60