-26+75=43 hope this helps
Answer:
1. 8y - 9y = -1y
( 8 - 9 = -1)
3. <u>8a</u> - 6 <u>+a</u> - 1
( i have showed the like terms here)
8a - 1a= 7a
-6 - 1 = -7
7a - 7
5. -x - 2 + 15x
( i have showed the like terms here)
-x + 15x = 14x
(x = 1)
14x + 2
7.<u> 8d</u> - 4 <u>- d</u> - 2
( i have showed the like terms here)
8d - d = 7d
-4 -2 = -6
7d - 6
8. 9a <u>+ 8</u> - 2a<u> - 3</u> - 5a
( i have showed the like terms here)
9a - 2a - 5a = 2a
8 - 3= 5
2a + 5
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:
A.
Step-by-step explanation:
Physical scientists are often known as astronomers. Which is the study of space including planets, moons, comets etc.